Computes matrix-matrix product of a sparse matrix stored in the diagonal format with one-based indexing.
Syntax
Fortran:
call mkl_sdiamm(transa, m, n, k, alpha, matdescra, val, lval, idiag, ndiag, b, ldb, beta, c, ldc)
call mkl_ddiamm(transa, m, n, k, alpha, matdescra, val, lval, idiag, ndiag, b, ldb, beta, c, ldc)
call mkl_cdiamm(transa, m, n, k, alpha, matdescra, val, lval, idiag, ndiag, b, ldb, beta, c, ldc)
call mkl_zdiamm(transa, m, n, k, alpha, matdescra, val, lval, idiag, ndiag, b, ldb, beta, c, ldc)
C:
mkl_sdiamm(&transa, &m, &n, &k, &alpha, matdescra, val, &lval, idiag, &ndiag, b, &ldb, &beta, c, &ldc);
mkl_ddiamm(&transa, &m, &n, &k, &alpha, matdescra, val, &lval, idiag, &ndiag, b, &ldb, &beta, c, &ldc);
mkl_cdiamm(&transa, &m, &n, &k, &alpha, matdescra, val, &lval, idiag, &ndiag, b, &ldb, &beta, c, &ldc);
mkl_zdiamm(&transa, &m, &n, &k, &alpha, matdescra, val, &lval, idiag, &ndiag, b, &ldb, &beta, c, &ldc);
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_?diamm routine performs a matrix-matrix operation defined as C := alpha*A*B + beta*C
or C := alpha*A'*B + beta*C,
where:
alpha and beta are scalars,
B and C are dense matrices, A is an m-by-k sparse matrix in the diagonal format, A' 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 operation.
If transa = 'N' or 'n', then C := alpha*A*B + beta*C,
If transa = 'T' or 't' or 'C' or 'c', then C := alpha*A'*B + beta*C.
- m
INTEGER. Number of rows of the matrix A.
- n
INTEGER. Number of columns of the matrix C.
- k
INTEGER. Number of columns of the matrix A.
- alpha
REAL for mkl_sdiamm.
DOUBLE PRECISION for mkl_ddiamm.
COMPLEX for mkl_cdiamm.
DOUBLE COMPLEX for mkl_zdiamm.
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_sdiamm.
DOUBLE PRECISION for mkl_ddiamm.
COMPLEX for mkl_cdiamm.
DOUBLE COMPLEX for mkl_zdiamm.
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.
- b
REAL for mkl_sdiamm.
DOUBLE PRECISION for mkl_ddiamm.
COMPLEX for mkl_cdiamm.
DOUBLE COMPLEX for mkl_zdiamm.
Array, DIMENSION (ldb, n).
On entry with transa = 'N' or 'n', the leading k-by-n part of the array b must contain the matrix B, otherwise 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.
- beta
REAL for mkl_sdiamm.
DOUBLE PRECISION for mkl_ddiamm.
COMPLEX for mkl_cdiamm.
DOUBLE COMPLEX for mkl_zdiamm.
Specifies the scalar beta.
- c
REAL for mkl_sdiamm.
DOUBLE PRECISION for mkl_ddiamm.
COMPLEX for mkl_cdiamm.
DOUBLE COMPLEX for mkl_zdiamm.
Array, DIMENSION (ldc, n).
On entry, the leading m-by-n part of the array c must contain the matrix C, otherwise the leading k-by-n part of the array c must contain the matrix C.
- ldc
INTEGER. Specifies the leading dimension of c as declared in the calling (sub)program.
Output Parameters
- c
Overwritten by the matrix (alpha*A*B + beta*C) or (alpha*A'*B + beta*C).
Interfaces
FORTRAN 77:
SUBROUTINE mkl_sdiamm(transa, m, n, k, alpha, matdescra, val, lval,
idiag, ndiag, b, ldb, beta, c, ldc)
CHARACTER*1 transa
CHARACTER matdescra(*)
INTEGER m, n, k, ldb, ldc, lval, ndiag
INTEGER idiag(*)
REAL alpha, beta
REAL val(lval,*), b(ldb,*), c(ldc,*)
SUBROUTINE mkl_ddiamm(transa, m, n, k, alpha, matdescra, val, lval,
idiag, ndiag, b, ldb, beta, c, ldc)
CHARACTER*1 transa
CHARACTER matdescra(*)
INTEGER m, n, k, ldb, ldc, lval, ndiag
INTEGER idiag(*)
DOUBLE PRECISION alpha, beta
DOUBLE PRECISION val(lval,*), b(ldb,*), c(ldc,*)
SUBROUTINE mkl_cdiamm(transa, m, n, k, alpha, matdescra, val, lval,
idiag, ndiag, b, ldb, beta, c, ldc)
CHARACTER*1 transa
CHARACTER matdescra(*)
INTEGER m, n, k, ldb, ldc, lval, ndiag
INTEGER idiag(*)
COMPLEX alpha, beta
COMPLEX val(lval,*), b(ldb,*), c(ldc,*)
SUBROUTINE mkl_zdiamm(transa, m, n, k, alpha, matdescra, val, lval,
idiag, ndiag, b, ldb, beta, c, ldc)
CHARACTER*1 transa
CHARACTER matdescra(*)
INTEGER m, n, k, ldb, ldc, lval, ndiag
INTEGER idiag(*)
DOUBLE COMPLEX alpha, beta
DOUBLE COMPLEX val(lval,*), b(ldb,*), c(ldc,*)
C:
void mkl_sdiamm(char *transa, int *m, int *n, int *k, float *alpha,
char *matdescra, float *val, int *lval, int *idiag, int *ndiag,
float *b, int *ldb, float *beta, float *c, int *ldc);
void mkl_ddiamm(char *transa, int *m, int *n, int *k, double *alpha,
char *matdescra, double *val, int *lval, int *idiag, int *ndiag,
double *b, int *ldb, double *beta, double *c, int *ldc);
void mkl_cdiamm(char *transa, int *m, int *n, int *k, MKL_Complex8 *alpha,
char *matdescra, MKL_Complex8 *val, int *lval, int *idiag, int *ndiag,
MKL_Complex8 *b, int *ldb, MKL_Complex8 *beta, MKL_Complex8 *c, int *ldc);
void mkl_zdiamm(char *transa, int *m, int *n, int *k, MKL_Complex16 *alpha,
char *matdescra, MKL_Complex16 *val, int *lval, int *idiag, int *ndiag,
MKL_Complex16 *b, int *ldb, MKL_Complex16 *beta, MKL_Complex16 *c, int *ldc);