mkl_?bsrsymv

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_?bsrsymv

Computes matrix-vector product of a sparse symmetrical matrix stored in the BSR format (3-array variation) with one-based indexing (deprecated).

Syntax

call mkl_sbsrsymv(uplo, m, lb, a, ia, ja, x, y)

call mkl_dbsrsymv(uplo, m, lb, a, ia, ja, x, y)

call mkl_cbsrsymv(uplo, m, lb, a, ia, ja, x, y)

call mkl_zbsrsymv(uplo, m, lb, a, ia, ja, x, y)

Include Files

mkl.fi

Description

This routine is deprecated. Use mkl_sparse_?_mvfrom the Intel® oneAPI Math Kernel Library Inspector-executor Sparse BLAS interface instead.

The mkl_?bsrsymv routine performs a matrix-vector operation defined as

y := A*x

where:

x and y are vectors,

A is an upper or lower triangle of the symmetrical sparse matrix in the BSR format (3-array variation).

NOTE:

This routine supports only one-based indexing of the input arrays.

Input Parameters

Parameter descriptions are common for all implemented interfaces with the exception of data types that refer here to the FORTRAN 77 standard types. Data types specific to the different interfaces are described in the section "Interfaces" below.

uplo

CHARACTER*1. Specifies whether the upper or low triangle of the matrix A is considered.

If uplo = 'U' or 'u', then the upper triangle of the matrix A is used.

If uplo = 'L' or 'l', then the low triangle of the matrix A is used.

m

INTEGER. Number of block rows of the matrix A.

lb

INTEGER. Size of the block in the matrix A.

a

REAL for mkl_sbsrsymv.

DOUBLE PRECISION for mkl_dbsrsymv.

COMPLEX for mkl_cbsrsymv.

DOUBLE COMPLEX for mkl_zcsrgemv.

Array containing elements of non-zero blocks of the matrix A. Its length is equal to the number of non-zero blocks in the matrix A multiplied by lb*lb. Refer to values array description in BSR Format for more details.

ia

INTEGER. Array of length (m + 1), containing indices of block in the array a, such that ia(i) is the index in the array a of the first non-zero element from the row i. The value of the last element ia(m + 1) is equal to the number of non-zero blocks plus one. Refer to rowIndex array description in BSR Format for more details.

ja

INTEGER. Array containing the column indices for each non-zero block in the matrix A.

Its length is equal to the number of non-zero blocks of the matrix A. Refer to columns array description in BSR Format for more details.

x

REAL for mkl_sbsrsymv.

DOUBLE PRECISION for mkl_dbsrsymv.

COMPLEX for mkl_cbsrsymv.

DOUBLE COMPLEX for mkl_zcsrgemv.

Array, size (m*lb).

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

Output Parameters

y

REAL for mkl_sbsrsymv.

DOUBLE PRECISION for mkl_dbsrsymv.

COMPLEX for mkl_cbsrsymv.

DOUBLE COMPLEX for mkl_zcsrgemv.

Array, size at least (m*lb).

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

Interfaces

FORTRAN 77:

SUBROUTINE mkl_sbsrsymv(uplo, m, lb, a, ia, ja, x, y)

   CHARACTER*1  uplo

   INTEGER      m, lb

   INTEGER      ia(*), ja(*)

   REAL          a(*), x(*), y(*)

SUBROUTINE mkl_dbsrsymv(uplo, m, lb, a, ia, ja, x, y)

   CHARACTER*1  uplo

   INTEGER      m, lb

   INTEGER      ia(*), ja(*)

   DOUBLE PRECISION       a(*), x(*), y(*)

SUBROUTINE mkl_cbsrsymv(uplo, m, lb, a, ia, ja, x, y)

   CHARACTER*1  uplo

   INTEGER      m, lb

   INTEGER      ia(*), ja(*)

   COMPLEX    a(*), x(*), y(*)

SUBROUTINE mkl_zbsrsymv(uplo, m, lb, a, ia, ja, x, y)

   CHARACTER*1  uplo

   INTEGER      m, lb

   INTEGER      ia(*), ja(*)

   DOUBLE COMPLEX       a(*), x(*), y(*)

Parent topic: Sparse BLAS Level 2 and Level 3 Routines.

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

mkl_?bsrsymv

FORTRAN 77: