Linear Systems

Linear Equations with Full Matrices

Factor, Solve, and Inverse for General Matrices

Real matrices linSolGen

Complex matrices linSolGenComplex

Factor, Solve, and Inverse for Positive Definite Matrices

Real matrices linSolPosdef

Complex matrices linSolPosdefComplex

Linear Equations with Band Matrices

Factor and Solve for Band Matrices

Real matrices linSolGenBand

Complex matrices linSolGenBandComplex

Factor and Solve for Positive Definite Matrices Symmetric

Real matrices linSolPosdefBand

Complex matrices linSolPosdefBandComplex

Linear Equations with General Sparse Matrices

Factor and Solve for Sparse Matrices I

Real matrices linSolGenCoordinate

Complex matrices linSolGenCoordinateComplex

Factor and Solve for Sparse Matrices II

Real matrices superlu

Complex matrices superluComplex

OpenMP-based parallel Factor and Solve for Sparse Matrices

Real Matrices superluSmp

Complex Matrices superluSmpComplex

Factor and Solve for Positive Definite Matrices

Real matrices linSolPosdefCoordinate

Complex matrices linSolPosdefCoordinateComplex

OpenMP-based parallel Factor and Solve for Positive Definite Matrices

Real Matrices sparseCholeskySmp

Complex Matrices sparseCholeskySmpComplex

Iterative Methods

Restarted generalized minimum residual (GMRES) method linSolGenMinResidual

Conjugate gradient method linSolDefCg

Linear Least-squares with Full Matrices

Least-squares and QR decomposition

Least-squares solve, QR decomposition linLeastSquaresGen

Non-negative least squares solution nonnegLeastSquares

Linear constraints linLsqLinConstraints

Non-Negative Matrix Factorization (NNMF)

Non-negative matrix factorization solution nonnegMatrixFactorization

Singular Value Decompositions (SVD) and Generalized Inverse

Real matrix linSvdGen

Complex matrix linSvdGenComplex

Factor, Solve, and Generalized Inverse for Positive Semidefinite Matrices

Real matrices linSolNonnegdef