mkl_cspblas_?bsrtrsv

Syntax

Fortran:

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)

C:

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

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

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

mkl_cspblas_zdbsrtrsv(&uplo, &transa, &diag, &m, &lb, a, ia, ja, x, y);

Description

This routine is declared in mkl_spblas.fi for FORTRAN 77 interface and in mkl_spblas.h for C interface.

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

or

y := A'*x,

where:

x and y are vectors,

A is a sparse upper or lower triangular matrix with unit or non-unit main diagonal, A' 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'*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_sbsrtrmv.

DOUBLE PRECISION for mkl_cspblas_dbsrtrmv.

COMPLEX for mkl_cspblas_cbsrtrmv.

DOUBLE COMPLEX for mkl_cspblas_zbsrtrmv.

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. 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_sbsrtrmv.

DOUBLE PRECISION for mkl_cspblas_dbsrtrmv.

COMPLEX for mkl_cspblas_cbsrtrmv.

DOUBLE COMPLEX for mkl_cspblas_zbsrtrmv.

Array, DIMENSION (m*lb).

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

Output Parameters

y

REAL for mkl_cspblas_sbsrtrmv.

DOUBLE PRECISION for mkl_cspblas_dbsrtrmv.

COMPLEX for mkl_cspblas_cbsrtrmv.

DOUBLE COMPLEX for mkl_cspblas_zbsrtrmv.

Array, DIMENSION at least (m*lb).

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

Interfaces

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(*)

void mkl_cspblas_sbsrtrsv(char *uplo, char *transa, char *diag, int *m,

int *lb, float *a, int *ia, int *ja, float *x, float *y);

void mkl_cspblas_dbsrtrsv(char *uplo, char *transa, char *diag, int *m,

int *lb, double *a, int *ia, int *ja, double *x, double *y);

void mkl_cspblas_cbsrtrsv(char *uplo, char *transa, char *diag, int *m,

int *lb, MKL_Complex8 *a, int *ia, int *ja, MKL_Complex8 *x, MKL_Complex8 *y);

void mkl_cspblas_zbsrtrsv(char *uplo, char *transa, char *diag, int *m,

int *lb, MKL_Complex16 *a, int *ia, int *ja, MKL_Complex16 *x, MKL_Complex16 *y);