mkl_cspblas_?bsrtrsv

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_cspblas_?bsrtrsv

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

Syntax

call mkl_cspblas_sbsrtrsv(uplo, transa, diag, m, lb, a, ia, ja, x, y)

call mkl_cspblas_dbsrtrsv(uplo, transa, diag, m, lb, a, ia, ja, x, y)

call mkl_cspblas_cbsrtrsv(uplo, transa, diag, m, lb, a, ia, ja, x, y)

call mkl_cspblas_zbsrtrsv(uplo, transa, diag, m, lb, a, ia, ja, x, y)

Include Files

mkl.fi

Description

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

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

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 zero-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 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

CHARACTER*1. 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

CHARACTER*1. Specifies whether matrix A is unit triangular or not.

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

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

m

INTEGER. Number of block rows of the matrix A.

lb

INTEGER. Size of the block in the matrix A.

a

REAL for mkl_cspblas_sbsrtrsv.

DOUBLE PRECISION for mkl_cspblas_dbsrtrsv.

COMPLEX for mkl_cspblas_cbsrtrsv.

DOUBLE COMPLEX for mkl_cspblas_zbsrtrsv.

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

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. 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_cspblas_sbsrtrsv.

DOUBLE PRECISION for mkl_cspblas_dbsrtrsv.

COMPLEX for mkl_cspblas_cbsrtrsv.

DOUBLE COMPLEX for mkl_cspblas_zbsrtrsv.

Array, size (m*lb).

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

Output Parameters

y

REAL for mkl_cspblas_sbsrtrsv.

DOUBLE PRECISION for mkl_cspblas_dbsrtrsv.

COMPLEX for mkl_cspblas_cbsrtrsv.

DOUBLE COMPLEX for mkl_cspblas_zbsrtrsv.

Array, size at least (m*lb).

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

Interfaces

FORTRAN 77:

SUBROUTINE mkl_cspblas_sbsrtrsv(uplo, transa, diag, m, lb, a, ia, ja, x, y)

   CHARACTER*1  uplo, transa, diag

   INTEGER      m, lb

   INTEGER      ia(*), ja(*)

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

SUBROUTINE mkl_cspblas_dbsrtrsv(uplo, transa, diag, m, lb, a, ia, ja, x, y)

   CHARACTER*1  uplo, transa, diag

   INTEGER      m, lb

   INTEGER      ia(*), ja(*)

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

SUBROUTINE mkl_cspblas_cbsrtrsv(uplo, transa, diag, m, lb, a, ia, ja, x, y)

   CHARACTER*1  uplo, transa, diag

   INTEGER      m, lb

   INTEGER      ia(*), ja(*)

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

SUBROUTINE mkl_cspblas_zbsrtrsv(uplo, transa, diag, m, lb, a, ia, ja, x, y)

   CHARACTER*1  uplo, transa, diag

   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_cspblas_?bsrtrsv

FORTRAN 77: