# mkl_dcsrmm

Computes matrix - matrix product of a sparse matrix stored in the CSR format.

## Syntax

Fortran:

call mkl_dcsrmm(transa, m, n, k, alpha, matdescra, val, indx, pntrb, pntre, b, ldb, beta, c, ldc)

C:

mkl_dcsrmm(&transa, &m, &n, &k, &alpha, matdescra, val, indx, pntrb, pntre, b, &ldb, &beta, c, &ldc);

## Description

The mkl_dcsrmm 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 compressed sparse row (CSR) format, A' is the transpose of A.

### Note

This routine supports 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 `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*8. 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 the “Possible Values of the Parameter matdescra (descra)”.

val

  REAL*8. 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.

b

  REAL*8.

  Array, DIMENSION `(ldb, n)` for one-based indexing, and `(m, ldb)` for zero-based indexing.

  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 first dimension of b for one-based indexing, and the second dimension of b for zero-based indexing, as declared in the calling (sub)program.

beta

  REAL*8. Specifies the scalar beta.

c

  REAL*8.

  Array, DIMENSION (ldc, n) for one-based indexing, and `(m, ldc)` for zero-based indexing.

  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 first dimension of c for one-based indexing, and the second dimension of c for zero-based indexing, 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_dcsrmm(transa, m, n, k, alpha, matdescra, val, indx,

pntrb, pntre, b, ldb, beta, c, ldc)

CHARACTER*1 transa

CHARACTER matdescra(*)

INTEGER m, n, k, ldb, ldc

INTEGER indx(*), pntrb(m), pntre(m)

REAL*8 alpha, beta

REAL*8 val(*), b(ldb,*), c(ldc,*)

## C:

`void mkl_dcsrmm(char *transa, int *m, int *n, int *k, double *alpha,`
`char *matdescra, double *val, int *indx, int *pntrb, int *pntre,`
`double *b, int *ldb, double *beta, double *c, int *ldc,);`

Parent topic: Sparse BLAS Level 2 and Level 3 Routines.