mkl_?diasymv

Computes matrix - vector product of a sparse symmetrical matrix stored in the diagonal format with one-based indexing.

Syntax

Fortran:

call mkl_sdiasymv(uplo, m, val, lval, idiag, ndiag, x, y)

call mkl_ddiasymv(uplo, m, val, lval, idiag, ndiag, x, y)

call mkl_cdiasymv(uplo, m, val, lval, idiag, ndiag, x, y)

call mkl_zdiasymv(uplo, m, val, lval, idiag, ndiag, x, y)

C:

mkl_sdiasymv(&uplo, &m, val, &lval, idiag, &ndiag, x, y);

mkl_ddiasymv(&uplo, &m, val, &lval, idiag, &ndiag, x, y);

mkl_cdiasymv(&uplo, &m, val, &lval, idiag, &ndiag, x, y);

mkl_zdiasymv(&uplo, &m, val, &lval, idiag, &ndiag, x, y);

Include Files

The FORTRAN 77 interfaces are specified in the mkl_spblas.fi include file and the C interfaces are specified in the mkl_spblas.h include file.

Description

The mkl_?diasymv routine performs a matrix-vector operation defined as y := A*x

where:

x and y are vectors,

A is an upper or lower triangle of the symmetrical sparse matrix.

Note iconNote

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 used.

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.

m

INTEGER. Number of rows of the matrix A.

val

REAL for mkl_sdiasymv.

DOUBLE PRECISION for mkl_ddiasymv.

COMPLEX for mkl_cdiasymv.

DOUBLE COMPLEX for mkl_zdiasymv.

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.

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.

x

REAL for mkl_sdiasymv.

DOUBLE PRECISION for mkl_ddiasymv.

COMPLEX for mkl_cdiasymv.

DOUBLE COMPLEX for mkl_zdiasymv.

Array, DIMENSION is m.

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

Output Parameters

y

REAL for mkl_sdiasymv.

DOUBLE PRECISION for mkl_ddiasymv.

COMPLEX for mkl_cdiasymv.

DOUBLE COMPLEX for mkl_zdiasymv.

Array, DIMENSION at least m.

On exit, the array y must contain the vector y.

Interfaces

FORTRAN 77:

SUBROUTINE mkl_sdiasymv(uplo, m, val, lval, idiag, ndiag, x, y)
  CHARACTER*1   uplo
  INTEGER       m, lval, ndiag
  INTEGER      idiag(*)
  REAL           val(lval,*), x(*), y(*)

SUBROUTINE mkl_ddiasymv(uplo, m, val, lval, idiag, ndiag, x, y)
  CHARACTER*1   uplo
  INTEGER       m, lval, ndiag
  INTEGER      idiag(*)
  DOUBLE PRECISION      val(lval,*), x(*), y(*)

SUBROUTINE mkl_cdiasymv(uplo, m, val, lval, idiag, ndiag, x, y)
  CHARACTER*1   uplo
  INTEGER       m, lval, ndiag
  INTEGER      idiag(*)
  COMPLEX    val(lval,*), x(*), y(*)

SUBROUTINE mkl_zdiasymv(uplo, m, val, lval, idiag, ndiag, x, y)
  CHARACTER*1   uplo
  INTEGER       m, lval, ndiag
  INTEGER      idiag(*)
  DOUBLE COMPLEX        val(lval,*), x(*), y(*)

C:

void mkl_sdiasymv(char *uplo, int *m, float  *val, int *lval,
int *idiag, int *ndiag, float *x, float *y);

void mkl_ddiasymv(char *uplo, int *m, double  *val, int *lval,
int *idiag, int *ndiag, double *x, double *y);

void mkl_cdiasymv(char *uplo, int *m, MKL_Complex8  *val, int *lval,
int *idiag, int *ndiag, MKL_Complex8 *x, MKL_Complex8 *y);

void mkl_zdiasymv(char *uplo, int *m, MKL_Complex16  *val, int *lval,
int *idiag, int *ndiag, MKL_Complex16 *x, MKL_Complex16 *y);


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