mkl_?diasv

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 12/16/2022

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mkl_?diasv

Solves a system of linear equations for a sparse matrix in the diagonal format with one-based indexing (deprecated).

Syntax

void mkl_sdiasv (const char *transa , const MKL_INT *m , const float *alpha , const char *matdescra , const float *val , const MKL_INT *lval , const MKL_INT *idiag , const MKL_INT *ndiag , const float *x , float *y );

void mkl_ddiasv (const char *transa , const MKL_INT *m , const double *alpha , const char *matdescra , const double *val , const MKL_INT *lval , const MKL_INT *idiag , const MKL_INT *ndiag , const double *x , double *y );

void mkl_cdiasv (const char *transa , const MKL_INT *m , const MKL_Complex8 *alpha , const char *matdescra , const MKL_Complex8 *val , const MKL_INT *lval , const MKL_INT *idiag , const MKL_INT *ndiag , const MKL_Complex8 *x , MKL_Complex8 *y );

void mkl_zdiasv (const char *transa , const MKL_INT *m , const MKL_Complex16 *alpha , const char *matdescra , const MKL_Complex16 *val , const MKL_INT *lval , const MKL_INT *idiag , const MKL_INT *ndiag , 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 Inspector-executor Sparse BLAS interface instead.

The mkl_?diasv routine solves a system of linear equations with matrix-vector operations for a sparse matrix stored in the diagonal format:

y := alpha*inv(A)*x

y := alpha*inv(A^T)* x,

where:

alpha is scalar, 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

transa

Specifies the system of linear equations.

If transa = 'N' or 'n', then y := alpha*inv(A)*x

If transa = 'T' or 't' or 'C' or 'c', then y := alpha*inv(A^T)*x,

m

Number of rows of the matrix A.

alpha

Specifies the scalar alpha.

matdescra

Array of six elements, specifies properties of the matrix used for operation. Only first four array elements are used, their possible values are given in Table “Possible Values of the Parameter matdescra (descra)”. Possible combinations of element values of this parameter are given in Table “Possible Combinations of Element Values of the Parameter matdescra”.

val

Two-dimensional array of size lval by ndiag, contains non-zero diagonals of the matrix A. Refer to values array description in Diagonal Storage Scheme for more details.

lval

Leading dimension of val, lval≥m. Refer to lval description in Diagonal Storage Scheme for more details.

idiag

Array of length ndiag, contains the distances between main diagonal and each non-zero diagonals in the matrix A.

NOTE:

All elements of this array must be sorted in increasing order.

Refer to distance array description in Diagonal Storage Scheme for more details.

ndiag

Specifies the number of non-zero diagonals of the matrix A.

x

Array, size at least m.

On entry, the array x must contain the vector x. The elements are accessed with unit increment.

y

Array, size at least m.

On entry, the array y must contain the vector y. The elements are accessed with unit increment.

Output Parameters

y: Contains solution vector x.

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_?diasv