mkl_?bsrtrsv

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 10/31/2024

Version

Public

Visible to Intel only — GUID: GUID-270B79DD-0C53-43B4-8569-5047E4C653F9

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mkl_?bsrtrsv

Triangular solver with simplified interface for a sparse matrix stored in the BSR format (3-array variation) with one-based indexing (deprecated).

Syntax

void mkl_sbsrtrsv (const char *uplo , const char *transa , const char *diag , const MKL_INT *m , const MKL_INT *lb , const float *a , const MKL_INT *ia , const MKL_INT *ja , const float *x , float *y );

void mkl_dbsrtrsv (const char *uplo , const char *transa , const char *diag , const MKL_INT *m , const MKL_INT *lb , const double *a , const MKL_INT *ia , const MKL_INT *ja , const double *x , double *y );

void mkl_cbsrtrsv (const char *uplo , const char *transa , const char *diag , const MKL_INT *m , const MKL_INT *lb , const MKL_Complex8 *a , const MKL_INT *ia , const MKL_INT *ja , const MKL_Complex8 *x , MKL_Complex8 *y );

void mkl_zbsrtrsv (const char *uplo , const char *transa , const char *diag , const MKL_INT *m , const MKL_INT *lb , const MKL_Complex16 *a , const MKL_INT *ia , const MKL_INT *ja , const MKL_Complex16 *x , MKL_Complex16 *y );

Include Files

mkl.h

Description

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

The mkl_?bsrtrsv routine solves a system of linear equations with matrix-vector operations for a sparse matrix stored in the BSR format (3-array variation) :

y := A*x

y := A^T*x,

where:

x and y are vectors,

A is a sparse upper or lower triangular matrix with unit or non-unit main diagonal, A^T is the transpose of A.

NOTE:

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

Input Parameters

uplo

Specifies the upper or low triangle of the matrix A is used.

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.

transa

Specifies the operation.

If transa = 'N' or 'n', then the matrix-vector product is computed as y := A*x

If transa = 'T' or 't' or 'C' or 'c', then the matrix-vector product is computed as y := A^T*x.

diag

Specifies whether A is a unit triangular matrix.

If diag = 'U' or 'u', then A is a unit triangular.

If diag = 'N' or 'n', then A is not a unit triangular.

m

Number of block rows of the matrix A.

lb

Size of the block in the matrix A.

a

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.

NOTE:

The non-zero elements of the given row of the matrix must be stored in the same order as they appear in the row (from left to right).

No diagonal element can be omitted from a sparse storage if the solver is called with the non-unit indicator.

ia

Array of length (m + 1), containing indices of block in the array a, such that ia[I] - ia[0] 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] - ia[0] is equal to the number of non-zero blocks. Refer to rowIndex array description in BSR Format for more details.

ja

Array containing the column indices plus one 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

Array, size (m*lb).

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

Output Parameters

y

Array, size at least (m*lb).

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

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

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Developer Reference for Intel® oneAPI Math Kernel Library for C

mkl_?bsrtrsv

Syntax

Include Files

Description

Input Parameters

Output Parameters