Sparse BLAS Level 2 and Level 3 Routines.

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 3/31/2025

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Sparse BLAS Level 2 and Level 3 Routines.

NOTE:

The Intel® oneAPI Math Kernel Library (oneMKL) Sparse BLAS Level 2 and Level 3 routines are deprecated. Use the corresponding routine from the Intel® oneAPI Math Kernel Library (oneMKL) Inspector-executor Sparse BLAS interface as indicated in the description for each routine.

Table “Sparse BLAS Level 2 and Level 3 Routines” lists the sparse BLAS Level 2 and Level 3 routines described in more detail later in this section.

Sparse BLAS Level 2 and Level 3 Routines
Routine/Function	Description

Simplified interface, one-based indexing

mkl_?csrgemv	Computes matrix - vector product of a sparse general matrix in the CSR format (3-array variation)
mkl_?bsrgemv	Computes matrix - vector product of a sparse general matrix in the BSR format (3-array variation).
mkl_?coogemv	Computes matrix - vector product of a sparse general matrix in the coordinate format.
mkl_?diagemv	Computes matrix - vector product of a sparse general matrix in the diagonal format.
mkl_?csrsymv	Computes matrix - vector product of a sparse symmetrical matrix in the CSR format (3-array variation)
mkl_?bsrsymv	Computes matrix - vector product of a sparse symmetrical matrix in the BSR format (3-array variation).
mkl_?coosymv	Computes matrix - vector product of a sparse symmetrical matrix in the coordinate format.
mkl_?diasymv	Computes matrix - vector product of a sparse symmetrical matrix in the diagonal format.
mkl_?csrtrsv	Triangular solvers with simplified interface for a sparse matrix in the CSR format (3-array variation).
mkl_?bsrtrsv	Triangular solver with simplified interface for a sparse matrix in the BSR format (3-array variation).
mkl_?cootrsv	Triangular solvers with simplified interface for a sparse matrix in the coordinate format.
mkl_?diatrsv	Triangular solvers with simplified interface for a sparse matrix in the diagonal format.




Simplified interface, zero-based indexing

mkl_cspblas_?csrgemv	Computes matrix - vector product of a sparse general matrix in the CSR format (3-array variation) with zero-based indexing.
mkl_cspblas_?bsrgemv	Computes matrix - vector product of a sparse general matrix in the BSR format (3-array variation)with zero-based indexing.
mkl_cspblas_?coogemv	Computes matrix - vector product of a sparse general matrix in the coordinate format with zero-based indexing.
mkl_cspblas_?csrsymv	Computes matrix - vector product of a sparse symmetrical matrix in the CSR format (3-array variation) with zero-based indexing
mkl_cspblas_?bsrsymv	Computes matrix - vector product of a sparse symmetrical matrix in the BSR format (3-array variation) with zero-based indexing.
mkl_cspblas_?coosymv	Computes matrix - vector product of a sparse symmetrical matrix in the coordinate format with zero-based indexing.
mkl_cspblas_?csrtrsv	Triangular solvers with simplified interface for a sparse matrix in the CSR format (3-array variation) with zero-based indexing.
mkl_cspblas_?bsrtrsv	Triangular solver with simplified interface for a sparse matrix in the BSR format (3-array variation) with zero-based indexing.
mkl_cspblas_?cootrsv	Triangular solver with simplified interface for a sparse matrix in the coordinate format with zero-based indexing.

Typical (conventional) interface, one-based and zero-based indexing

mkl_?csrmv	Computes matrix - vector product of a sparse matrix in the CSR format.
mkl_?bsrmv	Computes matrix - vector product of a sparse matrix in the BSR format.
mkl_?cscmv	Computes matrix - vector product for a sparse matrix in the CSC format.
mkl_?coomv	Computes matrix - vector product for a sparse matrix in the coordinate format.
mkl_?csrsv	Solves a system of linear equations for a sparse matrix in the CSR format.
mkl_?bsrsv	Solves a system of linear equations for a sparse matrix in the BSR format.
mkl_?cscsv	Solves a system of linear equations for a sparse matrix in the CSC format.
mkl_?coosv	Solves a system of linear equations for a sparse matrix in the coordinate format.
mkl_?csrmm	Computes matrix - matrix product of a sparse matrix in the CSR format
mkl_?bsrmm	Computes matrix - matrix product of a sparse matrix in the BSR format.
mkl_?cscmm	Computes matrix - matrix product of a sparse matrix in the CSC format
mkl_?coomm	Computes matrix - matrix product of a sparse matrix in the coordinate format.
mkl_?csrsm	Solves a system of linear matrix equations for a sparse matrix in the CSR format.
mkl_?bsrsm	Solves a system of linear matrix equations for a sparse matrix in the BSR format.
mkl_?cscsm	Solves a system of linear matrix equations for a sparse matrix in the CSC format.
mkl_?coosm	Solves a system of linear matrix equations for a sparse matrix in the coordinate format.

Typical (conventional) interface, one-based indexing

mkl_?diamv	Computes matrix - vector product of a sparse matrix in the diagonal format.
mkl_?skymv	Computes matrix - vector product for a sparse matrix in the skyline storage format.
mkl_?diasv	Solves a system of linear equations for a sparse matrix in the diagonal format.
mkl_?skysv	Solves a system of linear equations for a sparse matrix in the skyline format.
mkl_?diamm	Computes matrix - matrix product of a sparse matrix in the diagonal format.
mkl_?skymm	Computes matrix - matrix product of a sparse matrix in the skyline storage format.
mkl_?diasm	Solves a system of linear matrix equations for a sparse matrix in the diagonal format.
mkl_?skysm	Solves a system of linear matrix equations for a sparse matrix in the skyline storage format.

Auxiliary routines
Matrix converters
mkl_?dnscsr	Converts a sparse matrix in uncompressed representation to CSR format (3-array variation) and vice versa.
mkl_?csrcoo	Converts a sparse matrix in CSR format (3-array variation) to coordinate format and vice versa.
mkl_?csrbsr	Converts a sparse matrix in CSR format to BSR format (3-array variations) and vice versa.
mkl_?csrcsc	Converts a sparse matrix in CSR format to CSC format and vice versa (3-array variations).
mkl_?csrdia	Converts a sparse matrix in CSR format (3-array variation) to diagonal format and vice versa.
mkl_?csrsky	Converts a sparse matrix in CSR format (3-array variation) to sky line format and vice versa.

Operations on sparse matrices
mkl_?csradd	Computes the sum of two sparse matrices stored in the CSR format (3-array variation) with one-based indexing.
mkl_?csrmultcsr	Computes the product of two sparse matrices stored in the CSR format (3-array variation) with one-based indexing.
mkl_?csrmultd	Computes product of two sparse matrices stored in the CSR format (3-array variation) with one-based indexing. The result is stored in the dense matrix.

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

Sparse BLAS Level 2 and Level 3 Routines.