Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

ID 766686
Date 11/07/2023
Public

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mkl_sparse_?_sp2md

Computes the product of two sparse matrices (support operations on both matrices) and stores the result as a dense matrix.

Syntax

stat = mkl_sparse_s_sp2md (transA, descrA, A, transB, descrB, B, alpha, beta, C, layout, ldc )

stat = mkl_sparse_d_sp2md (transA, descrA, A, transB, descrB, B, alpha, beta, C, layout, ldc )

stat = mkl_sparse_c_sp2md (transA, descrA, A, transB, descrB, B, alpha, beta, C, layout, ldc )

stat = mkl_sparse_z_sp2md (transA, descrA, A, transB, descrB, B, alpha, beta, C, layout, ldc )

Include Files

  • mkl_spblas.f90

Description

The mkl_sparse_?_sp2md routine performs a matrix-matrix operation:

C = alpha * opA(A) *opB(B) + beta*C

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

NOTE:

This routine is not supported for sparse matrices in the COO format. For sparse matrices in BSR format, these combinations of (indexing, block_layout) are supported:

  • (SPARSE_INDEX_BASE_ZERO, SPARSE_LAYOUT_ROW_MAJOR)

  • (SPARSE_INDEX_BASE_ONE, SPARSE_LAYOUT_COLUMN_MAJOR)

Input Parameters

transA

C_INT.

Specifies operation op() on the input matrix.

SPARSE_OPERATION_NON_TRANSPOSE

Non-transpose, op(A)=A

SPARSE_OPERATION_TRANSPOSE

Transpose, op(A)=AT

SPARSE_OPERATION_CONJUGATE_TRANSPOSE

Conjugate transpose, op(A)=AH

descrA

MATRIX_DESCR.

Structure that specifies the sparse matrix properties.

NOTE:
Currently, only SPARSE_MATRIX_TYPE_GENERAL is supported.

sparse_matrix_type_ttype specifies the type of 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 the requested triangle is processed). This applies to BSR format only.

SPARSE_MATRIX_TYPE_BLOCK_DIAGONAL

The matrix is block-diagonal (only the requested triangle is processed). This applies to BSR format only.

sparse_fill_mode_tmode specifies the triangular matrix portion for symmetric, Hermitian, triangular, and block-triangular matrices.

SPARSE_FILL_MODE_LOWER

The lower triangular matrix is processed.

SPARSE_FILL_MODE_UPPER

The upper triangular matrix is processed.

sparse_diag_type_tdiag specifies the type of diagonal for non-general matrices.

SPARSE_DIAG_NON_UNIT

Diagonal elements must not be equal to 1.

SPARSE_DIAG_UNIT

Diagonal elements are equal to 1.

A

SPARSE_MATRIX_T.

Handle which contains the sparse matrix A.

transB

C_INT.

Specifies operation opB() on the input matrix.

SPARSE_OPERATION_NON_TRANSPOSE

Non-transpose, opB(B)=B.

SPARSE_OPERATION_TRANSPOSE

Transpose, opB(B)=BT .

SPARSE_OPERATION_CONJUGATE_TRANSPOSE

Conjugate transpose, opB(B)=BH .

descrB

MATRIX_DESCR.

Structure that specifies the sparse matrix properties.

NOTE:

Currently, only SPARSE_MATRIX_TYPE_GENERAL is supported.

sparse_matrix_type_ttype specifies the type of 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 the requested triangle is processed). This applies to BSR format only.

SPARSE_MATRIX_TYPE_BLOCK_DIAGONAL

The matrix is block-diagonal (only the requested triangle is processed). This applies to BSR format only.

sparse_fill_mode_tmode specifies the triangular matrix portion for symmetric, Hermitian, triangular, and block-triangular matrices.

SPARSE_FILL_MODE_LOWER

The lower triangular matrix is processed.

SPARSE_FILL_MODE_UPPER

The upper triangular matrix is processed.

sparse_diag_type_tdiag specifies the type of diagonal for non-general matrices.

SPARSE_DIAG_NON_UNIT

Diagonal elements must not be equal to 1.

SPARSE_DIAG_UNIT

Diagonal elements are equal to 1.

B

SPARSE_MATRIX_T.

Handle which contains the sparse matrix B.

alpha

C_FLOAT for mkl_sparse_s_sp2md.

C_DOUBLE for mkl_sparse_d_sp2md.

C_FLOAT_COMPLEX for mkl_sparse_c_sp2md.

C_DOUBLE_COMPLEX for mkl_sparse_z_sp2md.

Specifies the scalar alpha.

beta

C_FLOAT for mkl_sparse_s_sp2md.

C_DOUBLE for mkl_sparse_d_sp2md.

C_FLOAT_COMPLEX for mkl_sparse_c_sp2md.

C_DOUBLE_COMPLEX for mkl_sparse_z_sp2md.

Specifies the scalar beta.

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.

ldc

C_INT.

Leading dimension of matrix C.

Output Parameters

C

C_FLOAT for mkl_sparse_s_sp2md.

C_DOUBLE for mkl_sparse_d_sp2md.

C_FLOAT_COMPLEX for mkl_sparse_c_sp2md.

C_DOUBLE_COMPLEX for mkl_sparse_z_sp2md.

The resulting dense matrix.

stat

INTEGER

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.