Developer Reference for Intel® oneAPI Math Kernel Library for Fortran
?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*Cor
C := alpha*B*op(A) + beta*Cwhere:
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