mkl_?skysm

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-FF9C926E-A7DA-4382-94AE-67740693234D

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mkl_?skysm

Solves a system of linear matrix equations for a sparse matrix stored using the skyline storage scheme with one-based indexing (deprecated).

Syntax

void mkl_sskysm (const char *transa , const MKL_INT *m , const MKL_INT *n , const float *alpha , const char *matdescra , const float *val , const MKL_INT *pntr , const float *b , const MKL_INT *ldb , float *c , const MKL_INT *ldc );

void mkl_dskysm (const char *transa , const MKL_INT *m , const MKL_INT *n , const double *alpha , const char *matdescra , const double *val , const MKL_INT *pntr , const double *b , const MKL_INT *ldb , double *c , const MKL_INT *ldc );

void mkl_cskysm (const char *transa , const MKL_INT *m , const MKL_INT *n , const MKL_Complex8 *alpha , const char *matdescra , const MKL_Complex8 *val , const MKL_INT *pntr , const MKL_Complex8 *b , const MKL_INT *ldb , MKL_Complex8 *c , const MKL_INT *ldc );

void mkl_zskysm (const char *transa , const MKL_INT *m , const MKL_INT *n , const MKL_Complex16 *alpha , const char *matdescra , const MKL_Complex16 *val , const MKL_INT *pntr , const MKL_Complex16 *b , const MKL_INT *ldb , MKL_Complex16 *c , const MKL_INT *ldc );

Include Files

mkl.h

Description

This routine is deprecated, but no replacement is available yet in the Inspector-Executor Sparse BLAS API interfaces. You can continue using this routine until a replacement is provided and this can be fully removed.

The mkl_?skysm routine solves a system of linear equations with matrix-matrix operations for a sparse matrix in the skyline storage format:

C := alpha*inv(A)*B

C := alpha*inv(A^T)*B,

where:

alpha is scalar, B and C are dense matrices, 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 C := alpha*inv(A)*B,

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

m

Number of rows of the matrix A.

n

Number of columns of the matrix C.

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”.

NOTE:

General matrices (matdescra[0]='G') is not supported.

val

Array containing the set of elements of the matrix A in the skyline profile form.

If matdescrsa[2]= 'L', then val contains elements from the low triangle of the matrix A.

If matdescrsa[2]= 'U', then val contains elements from the upper triangle of the matrix A.

Refer to values array description in Skyline Storage Scheme for more details.

pntr

Array of length (m + 1) for lower triangle, and (n + 1) for upper triangle.

It contains the indices specifying the positions of the first element of the matrix A in each row (for the lower triangle) or column (for upper triangle) in the val array such that val[pntr[i] - 1] is the first element in row or column i + 1. Refer to pointers array description in Skyline Storage Scheme for more details.

b

Array, size ldb* n.

On entry the leading m-by-n part of the array b must contain the matrix B.

ldb

Specifies the leading dimension of b as declared in the calling (sub)program.

ldc

Specifies the leading dimension of c as declared in the calling (sub)program.

Output Parameters

c

Array, size ldc by n.

The leading m-by-n part of the array c contains the matrix C.

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_?skysm

Syntax

Include Files

Description

Input Parameters

Output Parameters