• Introduction
  • The IMSL Fortran Numerical Library
  • User Background
  • Getting Started
  • Finding the Right Routine
  • Organization of the Documentation
  • Naming Conventions
  • Using Library Subprograms
  • Programming Conventions
  • Module Usage
  • Using MPI Routines
  • Programming Tips
  • Optional Subprogram Arguments
  • Optional Data
  • Overloaded =, /=, etc., for Derived Types
  • Error Handling
  • Printing Results
  • Fortran 90 Constructs
  • Shared-Memory Multiprocessors and Thread Safety
  • Using Operators and Generic Functions
  • Using ScaLAPACK, LAPACK, LINPACK, and EISPACK
  • Using ScaLAPACK Enhanced Routines
• Linear Systems
  • Routines
  • Usage Notes
    • Matrix Types
    • Solution of Linear Systems
    • Multiple Right Sides
    • Determinants
    • Iterative Refinement
    • Singularity
    • Special Linear Systems
    • Iterative Solution of Linear Systems
    • QR Decomposition
  • LIN_SOL_GEN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal and Terminal Error Messages
    • Examples
      • Example 1: Solving a Linear System of Equations
        • Output
      • Example 2: Matrix Inversion and Determinant
        • Output
      • Example 3: Solving a System with Iterative Refinement
        • Output
      • Example 4: Evaluating the Matrix Exponential
        • Output
  • LIN_SOL_SELF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal and Terminal Error Messages
    • Examples
      • Example 1: Solving a Linear Least-squares System
        • Output
      • Example 2: System Solving with Cholesky Method
        • Output
      • Example 3: Using Inverse Iteration for an Eigenvector
        • Output
      • Example 4: Accurate Least-squares Solution with Iterative Refinement
        • Output
  • LIN_SOL_LSQ
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal and Terminal Error Messages
    • Examples
      • Example 1: Solving a Linear Least-squares System
        • Output
      • Example 2: System Solving with the Generalized Inverse
        • Output
      • Example 3: Two-Dimensional Data Fitting
        • Output
      • Example 4: Least-squares with an Equality Constraint
        • Output
  • LIN_SOL_SVD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal, Terminal, and Warning Error Messages
    • Examples
      • Example 1: Least-squares solution of a Rectangular System
        • Output
      • Example 2: Polar Decomposition of a Square Matrix
        • Output
      • Example 3: Reduction of an Array of Black and White
        • Output
      • Example 4: Laplace Transform Solution
        • Output
  • LIN_SOL_TRI
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal, Terminal, and Warning Error Messages
    • Examples
      • Example 1: Solution of Multiple Tridiagonal Systems
        • Output
      • Example 2: Iterative Refinement and Use of Partial Pivoting
        • Output
      • Example 3: Eigenvectors of Tridiagonal Matrices
        • Output
      • Example 4: Tridiagonal Matrix Solving within Diffusion Equations
        • Output
  • LIN_SVD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal, Terminal, and Warning Error Messages
    • Examples
      • Example 1: Computing the SVD
        • Output
      • Example 2: Linear Least Squares with a Quadratic Constraint
        • Output
      • Example 3: Generalized Singular Value Decomposition
      • Example 4: Ridge Regression as Cross-Validation with Weighting
        • Output
  • Parallel Constrained Least-Squares Solvers
    • Solving Constrained Least-Squares Systems
  • PARALLEL_NONNEGATIVE_LSQ
    • Usage Notes
    • Required Arguments
    • Optional Argument
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Example 1: Distributed Linear Inequality Constraint Solver
        • Output
    • Example 2: Distributed Non-negative Least-Squares
      • Output
  • PARALLEL_BOUNDED_LSQ
    • Usage Notes
    • Required Arguments
    • Optional Argument
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Example 1: Distributed Equality and Inequality Constraint Solver
        • Output
      • Example 2: Distributed Newton-Raphson Method with Step Control
  • LSARG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LSLRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
      • ScaLAPACK Example
        • Output
  • LFCRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example 1
        • Output
      • ScaLAPACK Example
        • Output
  • LFTRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example 1
        • Output
      • ScaLAPACK Example
        • Output
  • LFSRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFIRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFDRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LINRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LSACG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example 1
        • Output
      • ScaLAPACK Example
        • Output
  • LSLCG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example 1
        • Output
      • ScaLAPACK Example
        • Output
  • LFCCG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example 1
        • Output
      • ScaLAPACK Example
        • Output
  • LFTCG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFSCG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFICG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFDCG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LINCG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LSLRT
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFCRT
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFDRT
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LINRT
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LSLCT
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFCCT
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFDCT
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LINCT
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSADS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LSLDS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFCDS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFTDS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFSDS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFIDS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFDDS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LINDS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LSASF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSLSF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFCSF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFTSF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFSSF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LFISF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFDSF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LSADH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LSLDH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFCDH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFTDH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFSDH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFIDH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFDDH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LSAHF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSLHF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFCHF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFTHF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFSHF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LFIHF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFDHF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LSLTR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSLCR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LSARB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSLRB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LFCRB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFTRB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFSRB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LFIRB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFDRB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LSAQS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
    • Output
  • LSLQS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSLPB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFCQS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFTQS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFSQS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
    • Output
  • LFIQS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFDQS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
    • Output
  • LSLTQ
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSLCQ
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LSACB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSLCB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFCCB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFTCB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFSCB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LFICB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFDCB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LSAQH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSLQH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSLQB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFCQH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFTQH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFSQH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFIQH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFDQH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LSLXG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFTXG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFSXG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LSLZG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFTZG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFSZG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LSLXD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSCXD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LNFXD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFSXD
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSLZD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LNFZD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LFSZD
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSLTO
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSLTC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSLCC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • PCGRC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • JCGRC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GMRES
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
      • Example 3
        • Output
  • ARPACK_SVD
  • LSQRR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example 1
        • Output
      • ScaLAPACK Example
        • Output
  • LQRRV
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
  • LSBRR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LCLSQ
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LQRRR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
        • Output
  • LQERR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example 1
        • Output
      • ScaLAPACK Example
  • LQRSL
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example 1
        • Output
      • ScaLAPACK Example
        • Output
  • LUPQR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LCHRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LUPCH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • LDNCH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSVRR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example 1
        • Output
      • ScaLAPACK Example
        • Output
  • LSVCR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LSGRR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • ScaLAPACK Interface
    • Description
    • Comments
    • ScaLAPACK Usage Notes
    • Examples
      • Example
        • Output
      • ScaLAPACK Example
• Eigensystem Analysis
  • Routines
  • Usage Notes
    • Error Analysis and Accuracy
  • Generalized Eigenvalue Problems
  • Using ARPACK for Ordinary and Generalized Eigenvalue Problems
  • LIN_EIG_SELF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal, Terminal, and Warning Error Messages
    • Examples
      • Example 1: Computing Eigenvalues
        • Output
      • Example 2: Eigenvalue-Eigenvector Expansion of a Square Matrix
        • Output
      • Example 3: Computing a few Eigenvectors with Inverse Iteration
        • Output
      • Example 4: Analysis and Reduction of a Generalized Eigensystem
        • Output
  • LIN_EIG_GEN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal, Terminal, and Warning Error Messages
    • Examples
      • Example 1: Computing Eigenvalues
        • Output
      • Example 2: Complex Polynomial Equation Roots
        • Output
      • Example 3: Solving Parametric Linear Systems with a Scalar Change
        • Output
      • Example 4: Accuracy Estimates of Eigenvalues Using Adjoint and Ordinary Eigenvectors
        • Output
  • LIN_GEIG_GEN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal, Terminal, and Warning Error Messages
    • Examples
      • Example 1: Computing Generalized Eigenvalues
        • Output
      • Example 2: Self-Adjoint, Positive-Definite Generalized Eigenvalue Problem
        • Output
      • Example 3: A Test for a Regular Matrix Pencil
        • Output
      • Example 4: Larger Data Uncertainty than Working Precision
        • Output
  • EVLRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVCRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
    • Output
  • EPIRG
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
  • EVLCG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVCCG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EPICG
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
  • EVLSF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVCSF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVASF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVESF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVBSF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVFSF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EPISF
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
  • EVLSB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVCSB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVASB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVESB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVBSB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVFSB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EPISB
    • Required Arguments
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
  • EVLHF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVCHF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVAHF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVEHF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVBHF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVFHF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EPIHF
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
  • EVLRH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVCRH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVLCH
    • Required Arguments
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • EVCCH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GVLRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GVCRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GPIRG
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
  • GVLCG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GVCCG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GPICG
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
  • GVLSP
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GVCSP
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GPISP
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
  • Eigenvalues and Eigenvectors Computed with ARPACK
    • The Abstract Interfaces for User-Written Array Functions
  • The Base Class ARPACKBASE
  • ARPACK_SYMMETRIC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 2003 Interface
    • Fortran 90 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
      • Example 3
        • Output
  • ARPACK_SVD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 2003 Interface
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Example
      • Output
  • ARPACK_NONSYMMETRIC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 2003 Interface
    • Fortran 90 Interface
    • Description
    • Comments
    • Example
      • Output
  • ARPACK_COMPLEX
    • Required Arguments
    • Optional Arguments
    • FORTRAN 2003 Interface
    • Fortran 90 Interface
    • Description
    • Comments
    • Example
      • Output
• Interpolation and Approximation
  • Routines
  • Usage Notes
    • Piecewise Polynomials
    • Splines and B-splines
    • Cubic Splines
    • Tensor Product Splines
    • Quadratic Interpolation
    • Multi-dimensional Interpolation
    • Least Squares
    • Smoothing by Cubic Splines
    • Rational Chebyshev Approximation
    • Using the Univariate Spline Routines
    • Choosing an Interpolation Routine
  • SPLINE_CONSTRAINTS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
  • SPLINE_VALUES
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
  • SPLINE_FITTING
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal and Terminal Error Messages
    • Examples
      • Example 1: Natural Cubic Spline Interpolation to Data
        • Output
      • Example 2: Shaping a Curve and its Derivatives
        • Output
      • Example 3: Splines Model a Random Number Generator
        • Output
      • Example 4: Represent a Periodic Curve
        • Output
  • SURFACE_CONSTRAINTS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
  • SURFACE_VALUES
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
  • SURFACE_FITTING
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal and Terminal Error Messages
    • Examples
      • Example 1: Tensor Product Spline Fitting of Data
        • Output
      • Example 2: Parametric Representation of a Sphere
        • Output
      • Example 3: Constraining Some Points using a Spline Surface
        • Output
      • Example 4: Constraining a Spline Surface to be non-Negative
        • Output
  • CSIEZ
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CSINT
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CSDEC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • CSHER
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CSAKM
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CSCON
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CSPER
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CSVAL
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
  • CSDER
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CS1GD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CSITG
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • SPLEZ
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BSINT
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BSNAK
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BSOPK
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BS2IN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BS3IN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BSVAL
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
  • BSDER
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BS1GD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BSITG
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BS2VL
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
  • BS2DR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BS2GD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BS2IG
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BS3VL
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
  • BS3DR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BS3GD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BS3IG
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BSCPP
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
  • PPVAL
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • PPDER
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • PP1GD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • PPITG
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • QDVAL
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QDDER
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QD2VL
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QD2DR
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QD3VL
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QD3DR
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • SURF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • SURFND
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Example
      • Output
  • RLINE
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
    • Output
  • RCURV
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FNLSQ
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BSLSQ
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BSVLS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CONFT
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • BSLS2
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
    • Output
  • BSLS3
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CSSED
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CSSMH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CSSCV
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • RATCH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
    • Output
• Integration and Differentiation
  • Routines
  • Usage Notes
    • Univariate Quadrature
    • Multivariate Quadrature
    • Gauss Rules and Three-Term Recurrences
    • Numerical Differentiation
  • QDAGS
    • Required Arguments
    • Optional Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QDAG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QDAGP
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QDAG1D
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Examples
      • Example
        • Output
      • Example 2
        • Output
  • QDAGI
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QDAWO
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QDAWF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QDAWS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QDAWC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QDNG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • TWODQ
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • QDAG2D
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Example
      • Output
  • QDAG3D
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Example
      • Output
  • QAND
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QMC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Example
      • Output
  • GQRUL
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • GQRCF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • RECCF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comment
    • Example
      • Output
  • RECQR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FQRUL
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • DERIV
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
• Differential Equations
  • Routines
  • Usage Notes
    • Ordinary Differential Equations
    • Differential-Algebraic Equations
    • Partial Differential Equations
    • Summary
  • IVPRK
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • IVMRK
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
      • Example 3
        • Output
  • IVPAG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
      • Example 3
        • Output
      • Example 4
        • Output
  • BVPFD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
      • Example 3
        • Output
  • BVPMS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • DAESL
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Example 1 – Method of Lines PDE Problem
        • Output
      • Example 2 – Pendulum Problem
        • Output
      • Example 3 – User Solves Linear System
        • Output
  • DASPG
  • IVOAM
    • Required Arguments
    • Optional Arguments
    • Fortran 90 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • Introduction to Subroutine PDE_1D_MG
  • PDE_1D_MG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Remarks on the Examples
    • Example 1 - Electrodynamics Model
      • Rationale: Example 1
    • Example 2 - Inviscid Flow on a Plate
      • Rationale: Example 2
    • Example 3 - Population Dynamics
      • Rationale: Example 3
    • Example 4 - A Model in Cylindrical Coordinates
      • Rationale: Example 4
    • Example 5 - A Flame Propagation Model
      • Rationale: Example 5
    • Example 6 - A ‘Hot Spot’ Model
      • Rationale: Example 6
    • Example 7 - Traveling Waves
      • Rationale: Example 7
    • Example 8 - Black-Scholes
      • Rationale: Example 8
    • Example 9 - Electrodynamics, Parameters Studied with MPI
      • Rationale: Example 9
  • MMOLCH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
      • Example 3
        • Output
  • MOLCH
  • FEYNMAN_KAC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Example 1 – A Diffusion Model For Call Options
        • Output
      • Example 2 – American Option vs. European Option On a Vanilla Put
        • Output
      • Example 3 – European Option With Two Payoff Strategies
        • Output
      • Example 4– Convertible Bonds
        • Output
      • Example 5– A Non-Standard American Option
        • Output
      • Example 6 – Oxygen Diffusion Problem
        • Output
      • Example 7 – Calculating the Greeks
        • Output
  • HQSVAL
    • Function Return Value
    • Required Arguments
    • Optional Argument
    • FORTRAN 90 Interface
    • Description
    • Example: Exact Interpolation with Hermite Quintic
      • Output
  • FPS2H
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FPS3H
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • SLEIG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • SLCNT
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
• Transforms
  • Routines
  • Usage Notes
    • Fast Fourier Transforms
    • Continuous versus Discrete Fourier Transform
    • Laplace
  • FAST_DFT
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal and Terminal Messages
    • Examples
      • Example 1: Transforming an Array of Random Complex Numbers
        • Output
    • Example 2: Cyclical Data with a Linear Trend
      • Output
    • Example 3: Several Transforms with Initialization
      • Output
    • Example 4: Convolutions using Fourier Transforms
      • Output
  • FAST_2DFT
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal and Terminal Messages
    • Examples
      • Example 1: Transforming an Array of Random Complex Numbers
        • Output
      • Example 2: Cyclical 2D Data with a Linear Trend
        • Output
      • Example 3: Several 2D Transforms with Initialization
        • Output
  • FAST_3DFT
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal and Terminal Messages
    • Example
      • Output
  • FFTRF
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FFTRB
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FFTRI
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FFTCF
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FFTCB
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FFTCI
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FSINT
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FSINI
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FCOST
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FCOSI
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QSINF
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QSINB
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QSINI
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QCOSF
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QCOSB
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • QCOSI
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FFT2D
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FFT2B
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FFT3F
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FFT3B
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • RCONV
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CCONV
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • RCORL
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CCORL
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • INLAP
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • SINLP
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
• Nonlinear Equations
  • Routines
  • Usage Notes
    • Zeros of a Polynomial
    • Zero(s) of a Function
    • Root of System of Equations
  • ZPLRC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • ZPORC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • ZPOCC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • ZANLY
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • ZUNI
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Example
      • Output
  • ZBREN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • ZREAL
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • NEQNF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • NEQNJ
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • NEQBF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • NEQBJ
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
• Optimization
  • Routines
  • Usage Notes
    • Unconstrained Minimization
    • Minimization with Simple Bounds
    • Linearly Constrained Minimization
    • Nonlinearly Constrained Minimization
    • Selection of Routines
      • Unconstrained Minimization
      • Minimization with Simple Bounds
  • UVMIF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • UVMID
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • UVMGS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
    • Output
  • UMINF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • UMING
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • UMIDH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • UMIAH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • UMCGF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • UMCGG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • UMPOL
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • UNLSF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • UNLSJ
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BCONF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BCONG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BCODH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BCOAH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BCPOL
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example 1
      • Output
    • Example 2
      • Output
  • BCLSF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BCLSJ
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BCNLS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • READ_MPS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
      • MPS File Format
      • NAME Section
      • ROWS Section
      • COLUMNS Section
      • RHS Section
      • RANGES Section
      • BOUNDS Section
      • QUADRATIC Section
      • ENDATA Section
    • Comments
    • Examples
      • Example 1
      • Example 2
  • MPS_FREE
    • Required Arguments
    • FORTRAN 90 Interface
    • Description
    • Example
  • DENSE_LP
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • DLPRS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • SLPRS
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • TRAN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Example
      • Output
  • QPROG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LCONF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LCONG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • LIN_CON_TRUST_REGION
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Example
      • Output
  • NNLPF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Example
      • Output
  • NNLPG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • CDGRD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FDGRD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FDHES
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GDHES
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • DDJAC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
      • Example 3
        • Output
      • Example 4
        • Output
  • FDJAC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CHGRD
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CHHES
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CHJAC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GGUES
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
• Basic Matrix/Vector Operations
  • Routines
  • Basic Linear Algebra Subprograms
    • Programming Notes for Level 1 BLAS
    • Descriptions of the Level 1 BLAS Subprograms
      • Specification of the Level 1 BLAS
      • Set a Vector to a Constant Value
      • Copy a Vector
      • Scale a Vector
      • Multiply a Vector by a Constant
      • Add a Constant to a Vector
      • Subtract a Vector from a Constant
      • Constant Times a Vector Plus a Vector
      • Swap Two Vectors
      • Dot Product
      • Dot Product with Higher Precision Accumulation
      • Constant Plus Dot Product with Higher Precision Accumulation
      • Dot Product Using the Accumulator
      • Hadamard Product
      • Triple Inner Product
      • Sum of the Elements of a Vector
      • Sum of the Absolute Values of the Elements of a Vector
      • Euclidean or ℓ2 Norm of a Vector
      • Product of the Elements of a Vector
      • Index of Element Having Minimum Value
      • Index of Element Having Maximum Value
      • Index of Element Having Minimum Absolute Value
      • Index of Element Having Maximum Absolute Value
      • Construct a Givens Plane Rotation
      • Apply a Plane Rotation
      • Construct a Modified Givens Transformation
      • Apply a Modified Givens Transformation
    • Programming Notes for Level 2 and Level 3 BLAS
    • Descriptions of the Level 2 and Level 3 BLAS
      • Specification of the Level 2 BLAS
      • Specification of the Level 3 BLAS
      • Matrix–Vector Multiply, General
      • Matrix–Vector Multiply, Banded
      • Matrix-Vector Multiply, Hermitian
      • Matrix-Vector Multiply, Packed Hermitian
      • Matrix-Vector Multiply, Hermitian and Banded
      • Matrix-Vector Multiply, Symmetric and Real
      • Matrix-Vector Multiply, Packed Symmetric and Real
      • Matrix-Vector Multiply, Symmetric and Banded
      • Matrix-Vector Multiply, Triangular
      • Matrix-Vector Multiply, Packed Triangular
      • Matrix-Vector Multiply, Triangular and Banded
      • Matrix-Vector Solve, Triangular
      • Matrix-Vector Solve, Triangular and Banded
      • Matrix-Vector Solve, Packed Triangular
      • Rank-One Matrix Update, General and Real
      • Rank-One Matrix Update, General, Complex, and Transpose
      • Rank-One Matrix Update, General, Complex, and Conjugate Transpose
      • Rank-One Matrix Update, Hermitian and Conjugate Transpose
      • Rank-One Matrix Update, Packed Hermitian and Conjugate Transpose
      • Rank-Two Matrix Update, Hermitian and Conjugate Transpose
      • Rank-Two Matrix Update, Packed Hermitian and Conjugate Transpose
      • Rank-One Matrix Update, Symmetric and Real
      • Rank-One Matrix Update, Packed Symmetric and Real
      • Rank-One Matrix Update, Packed Hermitian
      • Rank-Two Matrix Update, Symmetric and Real
      • Rank-Two Matrix Update, Packed Symmetric and Real
      • Matrix-Matrix Multiply, General
      • Matrix-Matrix Multiply, Symmetric
      • Matrix-Matrix Multiply, Hermitian
      • Rank-k Update, Symmetric
      • Rank-k Update, Hermitian
      • Rank-2k, Symmetric
      • Rank-2k, Hermitian
      • Matrix-Matrix Multiply, Triangular
      • Matrix-Matrix Solve, Triangular
  • Other Matrix/Vector Operations
  • CRGRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CCGCG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CRBRB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CCBCB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CRGRB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CRBRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CCGCB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CCBCG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CRGCG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CRRCR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CRBCB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CSFRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CHFCG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CSBRB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CHBCB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • TRNRR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • MXTXF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • MXTYF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • MXYTF
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • MRRRR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • MCRCR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • HRRRR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BLINF
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • POLRG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • MURRV
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • MURBV
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • MUCRV
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • MUCBV
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ARBRB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ACBCB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • NRIRR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • NR1RR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • NR2RR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • NR1RB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • NR1CB
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • DISL2
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • DISL1
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • DISLI
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • VCONR
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • VCONC
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • Extended Precision Arithmetic
    • Example
      • Output
• Linear Algebra Operators and Generic Functions
  • Routines
  • Usage Notes
  • Matrix Optional Data Changes
    • Operator_ex36.f90
  • Dense Matrix Computations
  • Dense Matrix Functions
  • Dense Matrix Parallelism Using MPI
    • General Remarks
    • Getting Started with Modules MPI_setup_int and MPI_node_int
    • Using Processors
  • Sparse Matrix Computations
    • Introduction
    • Derived Type Definitions
    • Overloaded Assignments
      • Sparse = Collection of Triplets
      • Sparse = Dense
      • Dense = Sparse
      • Scalar = s_hbc_entry(Sparse, I, J)
  • .x.
    • Operator Return Value
    • Required Operands
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example (operator_ex03.f90)
      • Sparse Matrix Example
      • Parallel Example (parallel_ex03.f90)
  • .tx.
    • Operator Return Value
    • Required Operands
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example (operator_ex05.f90)
      • Sparse Matrix Example
        • Output
      • Parallel Example (parallel_ex05.f90)
  • .xt.
    • Operator Return Value
    • Required Operands
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example (operator_ex14.f90)
      • Sparse Matrix Example
        • Output
      • Parallel Example (parallel_ex15.f90)
  • .hx.
    • Operator Return Value
    • Required Operands
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example (operator_ex32.f90)
      • Sparse Matrix Example
        • Output
      • Parallel Example
  • .xh.
    • Operator Return Value
    • Required Operands
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example
        • Output
      • Spare Matrix Example
        • Output
      • Parallel Example
  • .t.
    • Operator Return Value
    • Required Operand
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example (operator_ex07.f90)
      • Sparse Matrix Example
        • Output
  • .h.
    • Operator Return Value
    • Required Operand
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example (operator_ex34.f90)
      • Sparse Matrix Example
        • Output
  • .i.
    • Operator Return Value
    • Required Operand
    • Optional Variables, Reserved Names
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example (operator_ex02.f90)
      • Parallel Example (parallel_ex02.f90)
  • .ix.
    • Operator Return Value
    • Required Operands
    • Optional Variables, Reserved Names
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example (operator_ex01.f90)
      • Sparse Matrix Example 1
        • Output
      • Sparse Matrix Example 2: Plane Poisson Problem with Dirichlet Boundary Conditions
      • Parallel Example (parallel_ex01.f90)
  • .xi.
    • Operator Return Value
    • Required Operands
    • Optional Variables, Reserved Names
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example
      • Sparse Matrix Example
        • Output
      • Parallel Example
  • CHOL
    • Function Return Value
    • Required Argument
    • Optional Arguments, Packaged Options
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example (operator_ex06.f90)
      • Parallel Example (parallel_ex06.f90)
  • COND
    • Function Return Value
    • Required Argument
    • Optional Arguments, Packaged Options
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example (operator_ex02.f90)
        • Output
      • Sparse Matrix Example
        • Output
      • Parallel Example (parallel_ex02.f90)
  • DET
    • Function Return Value
    • Required Argument
    • Optional Arguments, Packaged Options
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example (operator_ex02.f90)
      • Parallel Example (parallel_ex02.f90)
  • DIAG
    • Function Return Value
    • Required Argument
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example (operator_ex13.f90)
  • DIAGONALS
    • Function Return Value
    • Required Argument
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example (operator_ex32.f90)
  • EIG
    • Function Return Value
    • Required Argument
    • Optional Arguments, Packaged Options
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example 1 (operator_ex26.f90)
      • Dense Matrix Example 2 (operator_ex33.f90)
      • Parallel Example (parallel_ex04.f90)
  • EYE
    • Function Return Value
    • Required Argument
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Dense Matrix Example (operator_ex07.f90)
  • FFT
    • Function Return Value
    • Required Argument
    • Optional Arguments, Packaged Options
    • FORTRAN 90 Interface
    • Description
    • Example (operator_ex37.f90)
  • FFT_BOX
    • Function Return Value
    • Required Argument
    • Optional Arguments, Packaged Options
    • FORTRAN 90 Interface
    • Description
    • Examples
  • IFFT
    • Function Return Value
    • Required Argument
    • Optional Arguments, Packaged Options
    • FORTRAN 90 Interface
    • Description
    • Example (operator_ex37.f90)
  • IFFT_BOX
    • Function Return Value
    • Required Argument
    • Optional Arguments, Packaged Options
    • FORTRAN 90 Interface
    • Description
    • Parallel Example
  • isNaN
    • Function Return Value
    • Required Argument
    • FORTRAN 90 Interface
    • Description
    • Example
  • NaN
    • Function Return Value
    • Required Argument
    • FORTRAN 90 Interface
    • Description
    • Example
  • NORM
    • Function Return Value
    • Required Argument
    • Optional Arguments, Packaged Options
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Example 1
      • Parallel Example (parallel_ex15.f90)
  • ORTH
    • Function Return Value
    • Required Argument
    • Optional Arguments, Packaged Options
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Example 1: (Operator_ex19.f90)
      • Parallel Example
  • RAND
    • Function Return Value
    • Required Argument
    • Optional Arguments, Packaged Options
    • FORTRAN 90 Interface
    • Description
    • Example
  • RANK
    • Function Return Value
    • Required Argument
    • Optional Arguments, Packaged Options
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Example 1
        • Output
      • Parallel Example
  • SVD
    • Function Return Value
    • Required Argument
    • Optional Arguments, Packaged Options
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Example 1: operator_ex14.f90
      • Parallel Example (parallel_ex14.f90)
  • UNIT
    • Function Return Value
    • Required Argument
    • FORTRAN 90 Interface
    • Description
    • Example (operator_ex28.f90)
• Utilities
  • Routines
  • Usage Notes for ScaLAPACK Utilities
    • Supporting Modules
  • ScaLAPACK_SETUP
    • Required Arguments
    • FORTRAN 90 Interface
    • Description
    • Example
  • ScaLAPACK_GETDIM
    • Required Arguments
    • FORTRAN 90 Interface
    • Description
    • Example
  • ScaLAPACK_READ
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Example
  • ScaLAPACK_WRITE
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Examples
      • Example 1: Distributed Transpose of a Matrix, In Place
        • Output
      • Example 2: Distributed Matrix Product with PBLAS
        • Output
      • Example 3: Distributed Linear Solver with ScaLAPACK
        • Output
  • ScaLAPACK_MAP
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Example
  • ScaLAPACK_UNMAP
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Example: Distributed Linear Solver with IMSL ScaLAPACK Interface
      • Output
  • ScaLAPACK_EXIT
    • Required Arguments
    • FORTRAN 90 Interface
    • Description
  • ERROR_POST
    • Required Argument
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Managing the Message File
    • Changing Messages
    • Building a New Direct-access Message File
    • Private Message Files
  • SHOW
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal and Terminal Error Messages
    • Examples
      • Example1: Printing an Array
    • Output
      • Example 2: Writing an Array to a Character Variable
        • Output
  • WRRRN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • WRRRL
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • WRIRN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • WRIRL
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • WRCRN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • WRCRL
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • WROPT
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • PGOPT
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • PERMU
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • PERMA
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • SORT_REAL
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal and Terminal Error Messages
    • Examples
      • Example 1: Sorting an Array
        • Output
      • Example 2: Sort and Final Move with a Permutation
        • Output
  • SVRGN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • SVRGP
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • SVIGN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • SVIGP
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • SVRBN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • SVRBP
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • SVIBN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • SVIBP
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • SRCH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ISRCH
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • SSRCH
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ACHAR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • IACHAR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ICASE
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • IICSR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • IIDEX
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CVTSI
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CPSEC
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Comments
  • TIMDY
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • TDATE
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • NDAYS
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • NDYIN
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • IDYWK
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • VERML
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Example
      • Output
  • RAND_GEN
    • Required Argument
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Fatal and Terminal Error Messages
    • Examples
      • Example 1: Running Mean and Variance
        • Output
      • Example 2: Seeding, Using, and Restoring the Generator
        • Output
      • Example 3: Generating Strategy with a Histogram
        • Output
  • RNGET
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
  • RNSET
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
  • RNOPT
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
  • RNIN32
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
  • RNGE32
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • RNSE32
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
  • RNIN64
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
  • RNGE64
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • RNSE64
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
  • RNUNF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • RNUN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FAURE_INIT
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
  • FAURE_FREE
    • Required Arguments
    • FORTRAN 90 Interface
  • FAURE_NEXT
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Example
      • Output
  • IUMAG
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • UMAG
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • DUMAG
  • PLOTP
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • PRIME
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CONST
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CUNIT
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • HYPOT
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • MP_SETUP
    • Function Return Value
    • Required Argument
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Examples
• Reference Material
  • Contents
  • User Errors
    • What Determines Error Severity
      • Terminal errors
      • Informational errors
      • Other errors
    • Kinds of Errors and Default Actions
    • Errors in Lower-Level Routines
    • Routines for Error Handling
  • ERSET
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
  • IERCD and N1RTY
    • Examples
      • Changes to default actions
      • Use of informational error to determine program action
      • Examples of errors
        • Output
      • Example of traceback
        • Output
  • Machine-Dependent Constants
  • IMACH
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
  • AMACH
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Comments
  • DMACH
  • IFNAN(X)
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • UMACH
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • Matrix Storage Modes
    • General Mode
    • Rectangular Mode
    • Symmetric Mode
    • Hermitian Mode
    • Triangular Mode
    • Band Storage Mode
    • Band Symmetric Storage Mode
    • Band Hermitian Storage Mode
    • Band Triangular Storage Mode
    • Codiagonal Band Symmetric Storage Mode
    • Codiagonal Band Hermitian Storage Mode
    • Sparse Matrix Storage Mode
    • Packed Symmetric Matrix Storage Mode
    • Packed Triangular Matrix Storage Mode
    • Packed Hermitian Matrix Storage Mode
  • Reserved Names
  • Deprecated Features and Renamed Routines
    • Automatic Workspace Allocation
    • Changing the Amount of Space Allocated
      • Output
    • Character Workspace
• Appendix A Alphabetical Summary of Routines
  • A to Z
  • A
  • B
  • C
  • D
  • E
  • F
  • G
  • H
  • I
  • J
  • L
  • M
  • N
  • O
  • P
  • Q
  • R
  • S
  • T
  • U
  • V
  • W
  • Z
• Appendix B References
  • Adams
  • Aird and Howell
  • Aird and Rice
  • Akima
  • Anderson et al.
  • Arushanian et al.
  • Ashcraft
  • Ashcraft et al.
  • Atkinson
  • Atchison
  • Bischof et al.
  • Bjorck
  • Boisvert (1984)
  • Boisvert, Howe, and Kahaner
  • Boisvert, Howe, Kahaner, and Springmann
  • Blackford et al.
  • Brankin et al.
  • Brenan, Campbell, and Petzold
  • Brenner
  • Brent
  • Brigham
  • Cheney
  • Cline et al.
  • Cody, Fraser, and Hart
  • Cohen and Taylor
  • Cooley and Tukey
  • Courant and Hilbert
  • Craven and Wahba
  • Crowe et al.
  • Crump
  • Davis and Rabinowitz
  • de Boor
  • de Hoog, Knight, and Stokes
  • Demmel et al
  • Dennis and Schnabel
  • Dongarra et al.
  • Draper and Smith
  • Du Croz et al.
  • Duff and Reid
  • Duff et al.
  • Duff et al.
  • Enright and Pryce
  • Fabijonas
  • Fabijonas et al.
  • Forsythe
  • Fox, Hall, and Schryer
  • Garbow
  • Garbow et al.
  • Gautschi
  • Gautschi and Milovanofic
  • Gay
  • Gear
  • Gear and Petzold
  • George and Liu
  • Gill et al.
  • Goldfarb and Idnani
  • Golub
  • Golub and Van Loan
  • Golub and Welsch
  • Gregory and Karney
  • Griffin
  • Grosse
  • Guerra and Tapia
  • Hageman and Young
  • Hanson
  • Hanson et al.
  • Hartman
  • Hausman
  • Hindmarsh
  • Hull et al.
  • IEEE
  • IMSL (1991)
  • Irvine et al.
  • Jenkins
  • Jenkins and Traub
  • Kennedy and Gentle
  • Kershaw
  • Knuth
  • Krogh
  • Lawson et al.
  • Leavenworth
  • Lehoucq et al.
  • Levenberg
  • Lewis et al.
  • Liepman
  • Liu
  • Liu and Ashcraft
  • Lyness and Giunta
  • Madsen and Sincovec
  • Marquardt
  • Martin and Wilkinson
  • Matsumoto and Nishimure
  • Micchelli et al.
  • Moler and Stewart
  • More et al.
  • Muller
  • Murtagh
  • Murty
  • Nelder and Mead
  • Neter and Wasserman
  • Park and Miller
  • Parlett
  • Patterson
  • Pereyra
  • Petro
  • Petzold
  • Piessens et al.
  • Powell
  • Pruess and Fulton
  • Ralston
  • Reinsch
  • Rice
  • Saad and Schultz
  • Schittkowski
  • Schnabel
  • Schreiber and Van Loan
  • Scott et al.
  • Sewell
  • Shampine
  • Shampine and Gear
  • Sorensen
  • Sincovec and Madsen
  • Singleton
  • Smith
  • Smith et al.
  • Spang
  • Stewart
  • Stoer
  • Stroud and Secrest
  • Titchmarsh
  • Trench
  • Walker
  • Washizu
  • Watkins and Elsner
  • Weeks