?trmm_oop

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

Download PDF

ID 766686

Date 10/31/2024

Version

Public

Visible to Intel only — GUID: GUID-2086D460-7D81-4159-91AB-94778C927DFA

View Details

?trmm_oop

Computes a matrix-matrix product where one input matrix is triangular and the other matrix is general, putting output into a different matrix.

Syntax

call strmm_oop(side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb, beta, c, ldc)

call dtrmm_oop(side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb, beta, c, ldc)

call ctrmm_oop(side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb, beta, c, ldc)

call ztrmm_oop(side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb, beta, c, ldc)

Include Files

mkl.fi

Description

The ?trmm_oop routines compute a scalar-matrix-matrix product where one of the matrices in the multiplication is triangular, and then add the result to a scalar-matrix product. The operation is defined as

C := alpha*op(A)*B + beta*C

C := alpha*B*op(A) + beta*C

where:

alpha and beta are scalars
A is a unit, or non-unit, upper or lower triangular matrix
B is an m-by-n matrix
C is an m-by-n matrix
op(A) is one of op(A) = A, op(A) = A', or op(A) = conjg(A')

Input Parameters

side

CHARACTER*1. Specifies whether op(A) appears on the left or right of B in the operation.

If side = 'L' or side = 'l', then C := alpha*op(A)*B + beta*C.

If side = 'R' or side = 'r', then C := alpha*B*op(A) + beta*C.

uplo

CHARACTER*1. Specifies whether the matrix A is upper or lower triangular.

If uplo = 'U' or 'u', then the matrix is upper triangular.

If uplo = 'L' or 'l', then the matrix is lower triangular.

transa

CHARACTER*1. Specifies the form of op(A) used in the matrix multiplication.

If transa='N' or 'n', then op(A) = A.

If transa='T' or 't', then op(A) = A'.

If transa='C' or 'c', then op(A) = conjg(A').

diag

CHARACTER*1. Specifies whether the matrix A is unit triangular.

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

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

m

INTEGER. Specifies the number of rows of matrix B. The value of m must be at least zero.

n

INTEGER. Specifies the number of columnss of matrix B. The value of n must be at least zero.

alpha

REAL for strmm_oop.

DOUBLE PRECISION for dtrmm_oop.

COMPLEX for ctrmm_oop.

DOUBLE COMPLEX for ztrmm_oop.

Specifies the scalar alpha.

a

REAL for strmm_oop.

DOUBLE PRECISION for dtrmm_oop.

COMPLEX for ctrmm_oop.

DOUBLE COMPLEX for ztrmm_oop.

Array of size lda*k, where k is m when side = CblasLeft and k is n when side = CblasRight.

Before entry with uplo = CblasUpper, the leading k by k upper triangular part of the array a must contain the upper triangular matrix and the strictly lower triangular part of a is not referenced.

Before entry with uplo = CblasLower the lower triangular part of the array a must contain the lower triangular matrix and the strictly upper triangular part of a is not referenced.

When diag = CblasUnit, the diagonal elements of a are not referenced either, but are assumed to be unity.

lda

INTEGER. Specifies the leading dimension of a. When side = CblasLeft, then lda must be at least max(1, m). When side = CblasRight, then lda must be at least max(1, n).

b

REAL for strmm_oop.

DOUBLE PRECISION for dtrmm_oop.

COMPLEX for ctrmm_oop.

DOUBLE COMPLEX for ztrmm_oop.

For layout = CblasColMajor, array of size ldb*n. Before entry, the leading m-by-n part of the array b must contain the matrix B.

For layout = CblasRowMajor, array of size ldb*m. Before entry, the leading n-by-m part of the array b must contain the matrix B.

ldb

INTEGER. Specifies the leading dimension of b. When layout = CblasColMajor, ldb must be at least max(1, m); otherwise, ldb must be at least max(1, n).

beta

REAL for strmm_oop.

DOUBLE PRECISION for dtrmm_oop.

COMPLEX for ctrmm_oop.

DOUBLE COMPLEX for ztrmm_oop.

Specifies the scalar beta.

c

REAL for strmm_oop.

DOUBLE PRECISION for dtrmm_oop.

COMPLEX for ctrmm_oop.

DOUBLE COMPLEX for ztrmm_oop.

For layout = CblasColMajor, array of size ldc*n. Before entry, the leading m-by-n part of the array c must contain the matrix C.

For layout = CblasRowMajor, array of size ldc*m. Before entry, the leading n-by-m part of the array c must contain the matrix C.

ldc

INTEGER. Specifies the leading dimension of c. When layout = CblasColMajor, ldc must be at least max(1, m); otherwise, ldc must be at least max(1, n).

Output Parameters

c: Output matrix overwritten by the operation

Parent topic: BLAS Level 3 Routines

Select Your Language

Using Intel.com Search

Quick Links

Recent Searches

Advanced Search

Only search in

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

?trmm_oop

Syntax

Include Files

Description

Input Parameters

Output Parameters