mkl_?coosv

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 12/16/2022

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mkl_?coosv

Solves a system of linear equations for a sparse matrix in the coordinate format (deprecated).

Syntax

call mkl_scoosv(transa, m, alpha, matdescra, val, rowind, colind, nnz, x, y)

call mkl_dcoosv(transa, m, alpha, matdescra, val, rowind, colind, nnz, x, y)

call mkl_ccoosv(transa, m, alpha, matdescra, val, rowind, colind, nnz, x, y)

call mkl_zcoosv(transa, m, alpha, matdescra, val, rowind, colind, nnz, 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_?coosv routine solves a system of linear equations with matrix-vector operations for a sparse matrix in the coordinate 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 a coordinate format both with one-based indexing and zero-based indexing.

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 y := alpha*inv(A)*x

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

m

INTEGER. Number of rows of the matrix A.

alpha

REAL for mkl_scoosv.

DOUBLE PRECISION for mkl_dcoosv.

COMPLEX for mkl_ccoosv.

DOUBLE COMPLEX for mkl_zcoosv.

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_scoosv.

DOUBLE PRECISION for mkl_dcoosv.

COMPLEX for mkl_ccoosv.

DOUBLE COMPLEX for mkl_zcoosv.

Array of length nnz, contains non-zero elements of the matrix A in the arbitrary order.

Refer to values array description in Coordinate Format for more details.

rowind

INTEGER. Array of length nnz, contains the row indices for each non-zero element of the matrix A.

Refer to rows array description in Coordinate Format for more details.

colind

INTEGER. Array of length nnz, contains the column indices for each non-zero element of the matrix A.

Refer to columns array description in Coordinate Format for more details.

nnz

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

Refer to nnz description in Coordinate Format for more details.

x

REAL for mkl_scoosv.

DOUBLE PRECISION for mkl_dcoosv.

COMPLEX for mkl_ccoosv.

DOUBLE COMPLEX for mkl_zcoosv.

Array, size at least m.

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

y

REAL for mkl_scoosv.

DOUBLE PRECISION for mkl_dcoosv.

COMPLEX for mkl_ccoosv.

DOUBLE COMPLEX for mkl_zcoosv.

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.

Interfaces

FORTRAN 77:

SUBROUTINE mkl_scoosv(transa, m, alpha, matdescra, val, rowind, colind, nnz, x, y)

  CHARACTER*1   transa

  CHARACTER     matdescra(*)

  INTEGER       m, nnz

  INTEGER       rowind(*), colind(*)

  REAL          alpha

  REAL          val(*)

  REAL          x(*), y(*)

SUBROUTINE mkl_dcoosv(transa, m, alpha, matdescra, val, rowind, colind, nnz, x, y)

  CHARACTER*1   transa

  CHARACTER     matdescra(*)

  INTEGER       m, nnz

  INTEGER       rowind(*), colind(*)

  DOUBLE PRECISION        alpha

  DOUBLE PRECISION        val(*)

  DOUBLE PRECISION        x(*), y(*)

SUBROUTINE mkl_ccoosv(transa, m, alpha, matdescra, val, rowind, colind, nnz, x, y)

  CHARACTER*1   transa

  CHARACTER     matdescra(*)

  INTEGER       m, nnz

  INTEGER       rowind(*), colind(*)

  COMPLEX        alpha

  COMPLEX        val(*)

  COMPLEX        x(*), y(*)

SUBROUTINE mkl_zcoosv(transa, m, alpha, matdescra, val, rowind, colind, nnz, x, y)

  CHARACTER*1   transa

  CHARACTER     matdescra(*)

  INTEGER       m, nnz

  INTEGER       rowind(*), colind(*)

  DOUBLE COMPLEX        alpha

  DOUBLE COMPLEX        val(*)

  DOUBLE COMPLEX        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_?coosv

FORTRAN 77: