mkl_?cootrsv

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_?cootrsv

Triangular solvers with simplified interface for a sparse matrix in the coordinate format with one-based indexing (deprecated).

Syntax

call mkl_scootrsv(uplo, transa, diag, m, val, rowind, colind, nnz, x, y)

call mkl_dcootrsv(uplo, transa, diag, m, val, rowind, colind, nnz, x, y)

call mkl_ccootrsv(uplo, transa, diag, m, val, rowind, colind, nnz, x, y)

call mkl_zcootrsv(uplo, transa, diag, m, 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_?cootrsv routine solves a system of linear equations with matrix-vector operations for a sparse matrix stored in the coordinate format:

A*y = x

A^T*y = x,

where:

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

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 whether the upper or low triangle of the matrix A is considered.

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 system of linear equations.

If transa = 'N' or 'n', then A*y = x

If transa = 'T' or 't' or 'C' or 'c', then A^T*y = x,

diag

CHARACTER*1. Specifies whether A is unit triangular.

If diag = 'U' or 'u', then A is unit triangular.

If diag = 'N' or 'n', then A is not unit triangular.

m

INTEGER. Number of rows of the matrix A.

val

REAL for mkl_scootrsv.

DOUBLE PRECISION for mkl_dcootrsv.

COMPLEX for mkl_ccootrsv.

DOUBLE COMPLEX for mkl_zcootrsv.

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_scootrsv.

DOUBLE PRECISION for mkl_dcootrsv.

COMPLEX for mkl_ccootrsv.

DOUBLE COMPLEX for mkl_zcootrsv.

Array, size is m.

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

Output Parameters

y

REAL for mkl_scootrsv.

DOUBLE PRECISION for mkl_dcootrsv.

COMPLEX for mkl_ccootrsv.

DOUBLE COMPLEX for mkl_zcootrsv.

Array, size at least m.

Contains the vector y.

Interfaces

FORTRAN 77:

SUBROUTINE mkl_scootrsv(uplo, transa, diag, m, val, rowind, colind, nnz, x, y)

  CHARACTER*1   uplo, transa, diag

  INTEGER       m, nnz

  INTEGER       rowind(*), colind(*)

  REAL            val(*), x(*), y(*)

SUBROUTINE mkl_dcootrsv(uplo, transa, diag, m, val, rowind, colind, nnz, x, y)

  CHARACTER*1   uplo, transa, diag

  INTEGER       m, nnz

  INTEGER       rowind(*), colind(*)

  DOUBLE PRECISION        val(*), x(*), y(*)

SUBROUTINE mkl_ccootrsv(uplo, transa, diag, m, val, rowind, colind, nnz, x, y)

  CHARACTER*1   uplo, transa, diag

  INTEGER       m, nnz

  INTEGER       rowind(*), colind(*)

  COMPLEX        val(*), x(*), y(*)

SUBROUTINE mkl_zcootrsv(uplo, transa, diag, m, val, rowind, colind, nnz, x, y)

  CHARACTER*1   uplo, transa, diag

  INTEGER       m, nnz

  INTEGER       rowind(*), colind(*)

  DOUBLE COMPLEX        val(*), 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_?cootrsv

FORTRAN 77: