mkl_sparse_?

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 3/31/2023

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mkl_sparse_?_mm

Computes the product of a sparse matrix and a dense matrix and stores the result as a dense matrix.

Syntax

stat = mkl_sparse_s_mm (operation, alpha, A, descr, layout, B, columns, ldb, beta, C, ldc)

stat = mkl_sparse_d_mm (operation, alpha, A, descr, layout, B, columns, ldb, beta, C, ldc)

stat = mkl_sparse_c_mm (operation, alpha, A, descr, layout, B, columns, ldb, beta, C, ldc)

stat = mkl_sparse_z_mm (operation, alpha, A, descr, layout, B, columns, ldb, beta, C, ldc)

Include Files

mkl_spblas.f90

Description

The mkl_sparse_?_mm routine performs a matrix-matrix operation:

C := alpha*op(A)*B + beta*C

where alpha and beta are scalars, A is a sparse matrix, op is a matrix modifier for matrix A, and B and C are dense matrices.

The mkl_sparse_?_mm and mkl_sparse_?_trsm routines support these configurations:

Column-major dense matrix: layout = SPARSE_LAYOUT_COLUMN_MAJOR

Row-major dense matrix: layout = SPARSE_LAYOUT_ROW_MAJOR

0-based sparse matrix: SPARSE_INDEX_BASE_ZERO

CSR

BSR: general non-transposed matrix multiplication only

All formats

1-based sparse matrix: SPARSE_INDEX_BASE_ONE

All formats

CSR

BSR: general non-transposed matrix multiplication only

NOTE:

For sparse matrices in the BSR format, the supported combinations of (indexing,block_layout) are:

(SPARSE_INDEX_BASE_ZERO, SPARSE_LAYOUT_ROW_MAJOR )
(SPARSE_INDEX_BASE_ONE, SPARSE_LAYOUT_COLUMN_MAJOR )

Input Parameters

operation

C_INT.

Specifies operation op() on input matrix.

`SPARSE_OPERATION_NON_TRANSPOSE`	Non-transpose, `op(A) = A`.
`SPARSE_OPERATION_TRANSPOSE`	Transpose, `op(A) = A^T`.
`SPARSE_OPERATION_CONJUGATE_TRANSPOSE`	Conjugate transpose, `op(A) = A^H`.

alpha

C_FLOAT for mkl_sparse_s_mm

C_DOUBLE for mkl_sparse_d_mm

C_FLOAT_COMPLEX for mkl_sparse_c_mm

C_DOUBLE_COMPLEX for mkl_sparse_z_mm

Specifies the scalar alpha.

A

SPARSE_MATRIX_T.

Handle which contains the sparse matrix A.

descr

MATRIX_DESCR.

Descriptor specifying sparse matrix properties.

type - Specifies the type of a sparse matrix:

`SPARSE_MATRIX_TYPE_GENERAL`	The matrix is processed as is.
`SPARSE_MATRIX_TYPE_SYMMETRIC`	The matrix is symmetric (only the requested triangle is processed).
`SPARSE_MATRIX_TYPE_HERMITIAN`	The matrix is Hermitian (only the requested triangle is processed).
`SPARSE_MATRIX_TYPE_TRIANGULAR`	The matrix is triangular (only the requested triangle is processed).
`SPARSE_MATRIX_TYPE_DIAGONAL`	The matrix is diagonal (only diagonal elements are processed).
`SPARSE_MATRIX_TYPE_BLOCK_TRIANGULAR`	The matrix is block-triangular (only requested triangle is processed). Applies to BSR format only.
`SPARSE_MATRIX_TYPE_BLOCK_DIAGONAL`	The matrix is block-diagonal (only diagonal blocks are processed). Applies to BSR format only.

mode - Specifies the triangular matrix part for symmetric, Hermitian, triangular, and block-triangular matrices:

`SPARSE_FILL_MODE_LOWER`	The lower triangular matrix part is processed.
`SPARSE_FILL_MODE_UPPER`	The upper triangular matrix part is processed.

diag - Specifies diagonal type for non-general matrices:

`SPARSE_DIAG_NON_UNIT`	Diagonal elements might not be equal to one.
`SPARSE_DIAG_UNIT`	Diagonal elements are equal to one.

layout

C_INT.

Describes the storage scheme for the dense matrix:

`SPARSE_LAYOUT_COLUMN_MAJOR`	Storage of elements uses column major layout.
`SPARSE_LAYOUT_ROW_MAJOR`	Storage of elements uses row major layout.

B

C_FLOAT for mkl_sparse_s_mm

C_DOUBLE for mkl_sparse_d_mm

C_FLOAT_COMPLEX for mkl_sparse_c_mm

C_DOUBLE_COMPLEX for mkl_sparse_z_mm

Array of size at least rows*cols.

layout = SPARSE_LAYOUT_COLUMN_MAJOR

layout = SPARSE_LAYOUT_ROW_MAJOR

rows (number of rows in B)

ldb

If op(A) = A, number of columns in A

If op(A) = A^T, number of rows in A

cols (number of columns in B)

columns

ldb

columns

C_INT.

Number of columns of matrix C.

ldb

C_INT.

Specifies the leading dimension of matrix B.

beta

C_FLOAT for mkl_sparse_s_mm

C_DOUBLE for mkl_sparse_d_mm

C_FLOAT_COMPLEX for mkl_sparse_c_mm

C_DOUBLE_COMPLEX for mkl_sparse_z_mm

Specifies the scalar beta

C

C_FLOAT for mkl_sparse_s_mm

C_DOUBLE for mkl_sparse_d_mm

C_FLOAT_COMPLEX for mkl_sparse_c_mm

C_DOUBLE_COMPLEX for mkl_sparse_z_mm

Array of size at least rows*cols, where

layout = SPARSE_LAYOUT_COLUMN_MAJOR

layout = SPARSE_LAYOUT_ROW_MAJOR

rows (number of rows in C)

ldc

If op(A) = A, number of rows in A

If op(A) = A^T, number of columns in A

cols (number of columns in C)

columns

ldc

ldc

Specifies the leading dimension of matrix C.

Output Parameters

C

C_FLOAT for mkl_sparse_s_mm

C_DOUBLE for mkl_sparse_d_mm

C_FLOAT_COMPLEX for mkl_sparse_c_mm

C_DOUBLE_COMPLEX for mkl_sparse_z_mm

Overwritten by the updated matrix C.

stat

INTEGER

Value indicating whether the operation was successful or not, and why:

`SPARSE_STATUS_SUCCESS`	The operation was successful.
`SPARSE_STATUS_NOT_INITIALIZED`	The routine encountered an empty handle or matrix array.
`SPARSE_STATUS_ALLOC_FAILED`	Internal memory allocation failed.
`SPARSE_STATUS_INVALID_VALUE`	The input parameters contain an invalid value.
`SPARSE_STATUS_EXECUTION_FAILED`	Execution failed.
`SPARSE_STATUS_INTERNAL_ERROR`	An error in algorithm implementation occurred.
`SPARSE_STATUS_NOT_SUPPORTED`	The requested operation is not supported.

Parent topic: Inspector-Executor Sparse BLAS Execution Routines

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

mkl_sparse_?_mm