mkl_?diasm

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_?diasm

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

Syntax

call mkl_sdiasm(transa, m, n, alpha, matdescra, val, lval, idiag, ndiag, b, ldb, c, ldc)

call mkl_ddiasm(transa, m, n, alpha, matdescra, val, lval, idiag, ndiag, b, ldb, c, ldc)

call mkl_cdiasm(transa, m, n, alpha, matdescra, val, lval, idiag, ndiag, b, ldb, c, ldc)

call mkl_zdiasm(transa, m, n, alpha, matdescra, val, lval, idiag, ndiag, b, ldb, c, ldc)

Include Files

mkl.fi

Description

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

The mkl_?diasm routine solves a system of linear equations with matrix-matrix operations for a sparse matrix in the diagonal 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

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.

transa

CHARACTER*1. 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

INTEGER. Number of rows of the matrix A.

n

INTEGER. Number of columns of the matrix C.

alpha

REAL for mkl_sdiasm.

DOUBLE PRECISION for mkl_ddiasm.

COMPLEX for mkl_cdiasm.

DOUBLE COMPLEX for mkl_zdiasm.

Specifies the scalar alpha.

matdescra

CHARACTER. 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

REAL for mkl_sdiasm.

DOUBLE PRECISION for mkl_ddiasm.

COMPLEX for mkl_cdiasm.

DOUBLE COMPLEX for mkl_zdiasm.

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

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

idiag

INTEGER. 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

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

b

REAL for mkl_sdiasm.

DOUBLE PRECISION for mkl_ddiasm.

COMPLEX for mkl_cdiasm.

DOUBLE COMPLEX for mkl_zdiasm.

Array, size (ldb, n).

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

ldb

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

ldc

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

Output Parameters

c

REAL for mkl_sdiasm.

DOUBLE PRECISION for mkl_ddiasm.

COMPLEX for mkl_cdiasm.

DOUBLE COMPLEX for mkl_zdiasm.

Array, size ldc by n.

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

Interfaces

FORTRAN 77:

SUBROUTINE mkl_sdiasm(transa, m, n, alpha, matdescra, val, lval, idiag,

 ndiag, b, ldb, c, ldc)

  CHARACTER*1   transa

  CHARACTER     matdescra(*)

  INTEGER       m, n, ldb, ldc, lval, ndiag

  INTEGER      idiag(*)

  REAL          alpha

  REAL          val(lval,*), b(ldb,*), c(ldc,*)

SUBROUTINE mkl_ddiasm(transa, m, n, alpha, matdescra, val, lval, idiag,

 ndiag, b, ldb, c, ldc)

  CHARACTER*1   transa

  CHARACTER     matdescra(*)

  INTEGER       m, n, ldb, ldc, lval, ndiag

  INTEGER      idiag(*)

  DOUBLE PRECISION        alpha

  DOUBLE PRECISION        val(lval,*), b(ldb,*), c(ldc,*)

SUBROUTINE mkl_cdiasm(transa, m, n, alpha, matdescra, val, lval, idiag,

 ndiag, b, ldb, c, ldc)

  CHARACTER*1   transa

  CHARACTER     matdescra(*)

  INTEGER       m, n, ldb, ldc, lval, ndiag

  INTEGER      idiag(*)

  COMPLEX        alpha

  COMPLEX        val(lval,*), b(ldb,*), c(ldc,*)

SUBROUTINE mkl_zdiasm(transa, m, n, alpha, matdescra, val, lval, idiag,

 ndiag, b, ldb, c, ldc)

  CHARACTER*1   transa

  CHARACTER     matdescra(*)

  INTEGER       m, n, ldb, ldc, lval, ndiag

  INTEGER      idiag(*)

  DOUBLE COMPLEX        alpha

  DOUBLE COMPLEX        val(lval,*), b(ldb,*), c(ldc,*)

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_?diasm

FORTRAN 77: