Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

ID 766686
Date 3/31/2023
Public

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mkl_sparse_?_dotmv

Computes a sparse matrix-vector product followed by a dot product.

Syntax

stat = mkl_sparse_s_dotmv (operation, alpha, A, descr, x, beta, y, d)

stat = mkl_sparse_d_dotmv (operation, alpha, A, descr, x, beta, y, d)

stat = mkl_sparse_c_dotmv (operation, alpha, A, descr, x, beta, y, d)

stat = mkl_sparse_z_dotmv (operation, alpha, A, descr, x, beta, y, d)

Include Files
  • mkl_spblas.f90
Description

The mkl_sparse_?_dotmv routine computes a sparse matrix-vector product and dot product:

y := alpha*op(A)*x + beta*y
d := ixi*yi (real case)
d := iconj(xi)*yi (complex case)

where

  • alpha and beta are scalars.

  • x and y are vectors.

  • A is an m-by-k matrix.

  • conj represents complex conjugation.

  • op(A) is a matrix modifier.

Available options for op(A) are A, AT, or AH.

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 the operation performed on matrix A.

If operation = SPARSE_OPERATION_NON_TRANSPOSE, op(A) = A.

If operation = SPARSE_OPERATION_TRANSPOSE, op(A) = AT.

If operation = SPARSE_OPERATION_CONJUGATE_TRANSPOSE, op(A) = AH.

alpha

C_FLOAT for mkl_sparse_s_dotmv

C_DOUBLE for mkl_sparse_d_dotmv

C_FLOAT_COMPLEX for mkl_sparse_c_dotmv

C_DOUBLE_COMPLEX for mkl_sparse_z_dotmv

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.
x

C_FLOAT for mkl_sparse_s_dotmv

C_DOUBLE for mkl_sparse_d_dotmv

C_FLOAT_COMPLEX for mkl_sparse_c_dotmv

C_DOUBLE_COMPLEX for mkl_sparse_z_dotmv

If operation = SPARSE_OPERATION_NON_TRANSPOSE, array of size at least k, where k is the number of columns of matrix A.

Otherwise, array of size at least m, where m is the number of rows of matrix A.

On entry, the array x must contain the vector x.

beta

C_FLOAT for mkl_sparse_s_dotmv

C_DOUBLE for mkl_sparse_d_dotmv

C_FLOAT_COMPLEX for mkl_sparse_c_dotmv

C_DOUBLE_COMPLEX for mkl_sparse_z_dotmv

Specifies the scalar beta.

y

C_FLOAT for mkl_sparse_s_dotmv

C_DOUBLE for mkl_sparse_d_dotmv

C_FLOAT_COMPLEX for mkl_sparse_c_dotmv

C_DOUBLE_COMPLEX for mkl_sparse_z_dotmv

If operation = SPARSE_OPERATION_NON_TRANSPOSE, array of size at least m, where k is the number of rows of matrix A.

Otherwise, array of size at least k, where k is the number of columns of matrix A.

On entry, the array y must contain the vector y.

Output Parameters
y

Overwritten by the updated vector y.

d

C_FLOAT for mkl_sparse_s_dotmv

C_DOUBLE for mkl_sparse_d_dotmv

C_FLOAT_COMPLEX for mkl_sparse_c_dotmv

C_DOUBLE_COMPLEX for mkl_sparse_z_dotmv

Overwritten by the dot product of x and y.

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.