Function | Purpose Statement |
|---|---|
Adds a scalar to each component of a vector, x ← x + a, all single precision. | |
Sums the absolute values of the components of a single-precision vector. | |
Computes the scalar times a vector plus a vector, y ← ax + y, all single precision. | |
Exits ScaLAPACK mode for the IMSL Library routines. | |
Calculates the row and column dimensions of a local distributed array based on the size of the array to be distributed and the row and column blocking factors to be used. | |
Maps array data from a global array to local arrays in the two-dimensional block-cyclic form required by ScaLAPACK routines. | |
Reads matrix data from a file and transmits it into the two-dimensional block-cyclic form required by ScaLAPACK routines. | |
Sets up a processor grid and calculates default values for use in mapping arrays to the processor grid | |
Unmaps array data from local distributed arrays to a global array. | |
Writes the matrix data to a file. | |
Sums the absolute values of the real part together with the absolute values of the imaginary part of the components of a complex vector. | |
Computes the Euclidean norm of a complex vector. | |
Copies a vector x to a vector y, both single precision. | |
Computes the sum of a single-precision scalar, a single-precision dot product and the double-precision accumulator, which is set to the result ACC ACC + a + xTy. | |
Computes the sum of a single-precision scalar plus a singleprecision dot product using a double-precision accumulator, which is set to the result ACC a + xTy. | |
Computes the single-precision dot product xTy. | |
Computes the sum of a single-precision scalar and a single precision dot product, a + xTy, using a double-precision accumulator. | |
Computes one of the matrix-vector operations: , where A is a matrix stored in band storage mode. | |
Computes one of the matrix-matrix operations: | |
Computes one of the matrix-vector operations: | |
Computes the rank-one update of a real general matrix: | |
Prints rank-1 or rank-2 arrays of numbers in a readable format. | |
Computes the Hadamard product of two single-precision vectors. | |
Computes the inverse Laplace transform of a complex function. | |
Calculates the indices of eigenvalues of a Sturm-Liouville problem with boundary conditions (at regular points) in a specified subinterval of the real line, [α, β]. | |
Determines eigenvalues, eigenfunctions and/or spectral density functions for Sturm-Liouville problems in the form with boundary conditions (at regular points). | |
Solves a sparse linear programming problem via the revised simplex algorithm. | |
Computes the Euclidean length or L2 norm of a single-precision vector. | |
Sorts a rank-1 array of real numbers x so the y results are algebraically nondecreasing, y1 ≤ y2 ≤ … yn. | |
Computes the values of a spline that either interpolates or fits user-supplied data. | |
Returns the derived type array result. | |
Weighted least-squares fitting by B-splines to discrete One-Dimensional data is performed. | |
Returns an array result, given an array of input | |
Multiplies the components of a single-precision vector. | |
Searches a sorted vector for a given scalar and return its index. | |
Applies a Givens plane rotation in single precision. | |
Constructs a Givens plane rotation in single precision. | |
Applies a modified Givens plane rotation in single precision. | |
Constructs a modified Givens plane rotation in single precision. | |
Computes the matrix-vector operation , where A is a symmetric matrix in band symmetric storage mode. | |
Multiplies a vector by a scalar, y ← ay, both single precision. | |
Sets the components of a vector to a scalar, all single precision. | |
Performs the matrix-vector operation y := α *A * x + β * y. | |
Performs the matrix-vector operation, A ← A + αxxT where A is a packed symmetric matrix. | |
Performs the symmetric rank 2 operation,A ← A + αxyT + αyxT where A is a packed symmetric matrix. | |
Searches a character vector, sorted in ascending ASCII order, for a given string and return its index. | |
Subtracts each component of a vector from a scalar, x ← a ‑ x, all single precision. | |
Sums the values of a single-precision vector. | |
Interchanges vectors x and y, both single precision. | |
Computes one of the matrix-matrix operations: , where A is a symmetric matrix and B and C are m by n matrices. | |
Computes the matrix-vector operation , where A is a symmetric matrix. | |
Computes the rank-one update of a real symmetric matrix: . | |
Computes the rank-two update of a real symmetric matrix: . | |
Computes one of the symmetric rank 2k operations: where C is an n by n symmetric matrix and A and B are n by k matrices in the first case and k by n matrices in the second case. | |
Computes one of the symmetric rank k operations: , where C is an n by n symmetric matrix and A is an n by k matrix in the first case and a k by n matrix in the second case. | |
Computes one of the matrix-vector operations: , where A is a triangular matrix in band storage mode. | |
Solves one of the triangular systems: , where A is a triangular matrix in band storage mode. | |
Performs one of the matrix-vector operations, x ← Ax, x ← ATx where A is an N × N packed triangular matrix. | |
Solves one of the systems of equations, x ← A-1x, x ← (A-1)Tx where A is an N × N packed triangular matrix. | |
Computes one of the matrix-matrix operations: where B is an m by n matrix and A is a triangular matrix. | |
Computes one of the matrix-vector operations: , where A is a triangular matrix. | |
Solves one of the matrix equations: where B is an m by n matrix and A is a triangular matrix. | |
Solves one of the triangular linear systems: where A is a triangular matrix. | |
Computes a smooth bivariate interpolant to scattered data that is locally a quintic polynomial in two variables. | |
Multidimensional interpolation and differentiation. | |
Returns the derived type array result given optional input. | |
Weighted least-squares fitting by tensor product B-splines to discrete two-dimensional data is performed. | |
Returns a tensor product array result, given two arrays of independent variable values. | |
Multiplies a vector by a scalar and store the result in another vector, y ← ax, all single precision. | |
Computes the singular value decomposition of a rank-2 or rank-3 array, . | |
Sorts an integer array by nondecreasing absolute value. | |
Sorts an integer array by algebraically increasing value. | |
Sorts an integer array by algebraically increasing value and returns the permutation that rearranges the array. | |
Sorts a real array by nondecreasing absolute value. | |
Sorts a real array by nondecreasing absolute value and returns the permutation that rearranges the array. | |
Sorts a real array by algebraically increasing value. | |
Sorts a real array by algebraically increasing value and returns the permutation that rearranges the array. | |
Computes a single-precision xyz product. |