Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

ID 766686
Date 12/16/2022
Public

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mkl_?csrmv

Computes matrix - vector product of a sparse matrix stored in the CSR format (deprecated).

Syntax

call mkl_scsrmv(transa, m, k, alpha, matdescra, val, indx, pntrb, pntre, x, beta, y)

call mkl_dcsrmv(transa, m, k, alpha, matdescra, val, indx, pntrb, pntre, x, beta, y)

call mkl_ccsrmv(transa, m, k, alpha, matdescra, val, indx, pntrb, pntre, x, beta, y)

call mkl_zcsrmv(transa, m, k, alpha, matdescra, val, indx, pntrb, pntre, x, beta, y)

Include Files
  • mkl.fi
Description

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

The mkl_?csrmv routine performs a matrix-vector operation defined as

y := alpha*A*x + beta*y

or

y := alpha*AT*x + beta*y,

where:

alpha and beta are scalars,

x and y are vectors,

A is an m-by-k sparse matrix in the CSR format, AT is the transpose of A.

NOTE:

This routine supports a CSR 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 operation.

If transa = 'N' or 'n', then y := alpha*A*x + beta*y

If transa = 'T' or 't' or 'C' or 'c', then y := alpha*AT*x + beta*y,

m

INTEGER. Number of rows of the matrix A.

k

INTEGER. Number of columns of the matrix A.

alpha

REAL for mkl_scsrmv.

DOUBLE PRECISION for mkl_dcsrmv.

COMPLEX for mkl_ccsrmv.

DOUBLE COMPLEX for mkl_zcsrmv.

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_scsrmv.

DOUBLE PRECISION for mkl_dcsrmv.

COMPLEX for mkl_ccsrmv.

DOUBLE COMPLEX for mkl_zcsrmv.

Array containing non-zero elements of the matrix A.

For one-based indexing its length is pntre(m) - pntrb(1).

For zero-based indexing its length is pntre(m-1) - pntrb(0).

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

indx

INTEGER. Array containing the column indices for each non-zero element of the matrix A.

Its length is equal to length of the val array.

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

pntrb

INTEGER. Array of length m.

For one-based indexing this array contains row indices, such that pntrb(i) - pntrb(1) + 1 is the first index of row i in the arrays val and indx.

For zero-based indexing this array contains row indices, such that pntrb(i) - pntrb(0) is the first index of row i in the arrays val and indx.

Refer to pointerb array description in CSR Format for more details.

pntre

INTEGER. Array of length m.

For one-based indexing this array contains row indices, such that pntre(i) - pntrb(1) is the last index of row i in the arrays val and indx.

For zero-based indexing this array contains row indices, such that pntre(i) - pntrb(0)-1 is the last index of row i in the arrays val and indx.

Refer to pointerE array description in CSR Format for more details.

x

REAL for mkl_scsrmv.

DOUBLE PRECISION for mkl_dcsrmv.

COMPLEX for mkl_ccsrmv.

DOUBLE COMPLEX for mkl_zcsrmv.

Array, size at least k if transa = 'N' or 'n' and at least m otherwise. On entry, the array x must contain the vector x.

beta

REAL for mkl_scsrmv.

DOUBLE PRECISION for mkl_dcsrmv.

COMPLEX for mkl_ccsrmv.

DOUBLE COMPLEX for mkl_zcsrmv.

Specifies the scalar beta.

y

REAL for mkl_scsrmv.

DOUBLE PRECISION for mkl_dcsrmv.

COMPLEX for mkl_ccsrmv.

DOUBLE COMPLEX for mkl_zcsrmv.

Array, size at least m if transa = 'N' or 'n' and at least k otherwise. On entry, the array y must contain the vector y.

Output Parameters
y

Overwritten by the updated vector y.

Interfaces

FORTRAN 77:

SUBROUTINE mkl_scsrmv(transa, m, k, alpha, matdescra, val, indx,
 pntrb, pntre, x, beta, y)
  CHARACTER*1   transa
  CHARACTER     matdescra(*)
  INTEGER       m, k
  INTEGER       indx(*), pntrb(m), pntre(m)
  REAL           alpha, beta
  REAL           val(*), x(*), y(*)

SUBROUTINE mkl_dcsrmv(transa, m, k, alpha, matdescra, val, indx,
 pntrb, pntre, x, beta, y)
  CHARACTER*1   transa
  CHARACTER     matdescra(*)
  INTEGER       m, k
  INTEGER       indx(*), pntrb(m), pntre(m)
  DOUBLE PRECISION        alpha, beta
  DOUBLE PRECISION        val(*), x(*), y(*)

SUBROUTINE mkl_ccsrmv(transa, m, k, alpha, matdescra, val, indx,
 pntrb, pntre, x, beta, y)
  CHARACTER*1   transa
  CHARACTER     matdescra(*)
  INTEGER       m, k
  INTEGER       indx(*), pntrb(m), pntre(m)
  COMPLEX      alpha, beta
  COMPLEX      val(*), x(*), y(*)

SUBROUTINE mkl_zcsrmv(transa, m, k, alpha, matdescra, val, indx,
 pntrb, pntre, x, beta, y)
  CHARACTER*1   transa
  CHARACTER     matdescra(*)
  INTEGER       m, k
  INTEGER       indx(*), pntrb(m), pntre(m)
  DOUBLE COMPLEX        alpha, beta
  DOUBLE COMPLEX        val(*), x(*), y(*)