csymm-f(3)

csymm.f –

Synopsis

Functions/Subroutines

subroutine csymm (SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
CSYMM

Function/Subroutine Documentation

subroutine csymm (characterSIDE, characterUPLO, integerM, integerN, complexALPHA, complex, dimension(lda,)A, integerLDA, complex, dimension(ldb,)B, integerLDB, complexBETA, complex, dimension(ldc,*)C, integerLDC)

CSYMM Purpose:

 CSYMM performs one of the matrix-matrix operations
 C := alpha*A*B + beta*C,
 or
 C := alpha*B*A + beta*C,
 where alpha and beta are scalars, A is a symmetric matrix and B and
 C are m by n matrices.

Parameters:

SIDE

 SIDE is CHARACTER*1
 On entry, SIDE specifies whether the symmetric matrix A
 appears on the left or right in the operation as follows:
 SIDE = 'L' or 'l' C := alpha*A*B + beta*C,
 SIDE = 'R' or 'r' C := alpha*B*A + beta*C,

UPLO

 UPLO is CHARACTER*1
 On entry, UPLO specifies whether the upper or lower
 triangular part of the symmetric matrix A is to be
 referenced as follows:
 UPLO = 'U' or 'u' Only the upper triangular part of the
 symmetric matrix is to be referenced.
 UPLO = 'L' or 'l' Only the lower triangular part of the
 symmetric matrix is to be referenced.

 M is INTEGER
 On entry, M specifies the number of rows of the matrix C.
 M must be at least zero.

 N is INTEGER
 On entry, N specifies the number of columns of the matrix C.
 N must be at least zero.

ALPHA

 ALPHA is COMPLEX
 On entry, ALPHA specifies the scalar alpha.

 A is COMPLEX array of DIMENSION ( LDA, ka ), where ka is
 m when SIDE = 'L' or 'l' and is n otherwise.
 Before entry with SIDE = 'L' or 'l', the m by m part of
 the array A must contain the symmetric matrix, such that
 when UPLO = 'U' or 'u', the leading m by m upper triangular
 part of the array A must contain the upper triangular part
 of the symmetric matrix and the strictly lower triangular
 part of A is not referenced, and when UPLO = 'L' or 'l',
 the leading m by m lower triangular part of the array A
 must contain the lower triangular part of the symmetric
 matrix and the strictly upper triangular part of A is not
 referenced.
 Before entry with SIDE = 'R' or 'r', the n by n part of
 the array A must contain the symmetric matrix, such that
 when UPLO = 'U' or 'u', the leading n by n upper triangular
 part of the array A must contain the upper triangular part
 of the symmetric matrix and the strictly lower triangular
 part of A is not referenced, and when UPLO = 'L' or 'l',
 the leading n by n lower triangular part of the array A
 must contain the lower triangular part of the symmetric
 matrix and the strictly upper triangular part of A is not
 referenced.

LDA

 LDA is INTEGER
 On entry, LDA specifies the first dimension of A as declared
 in the calling (sub) program. When SIDE = 'L' or 'l' then
 LDA must be at least max( 1, m ), otherwise LDA must be at
 least max( 1, n ).

 B is COMPLEX array of DIMENSION ( LDB, n ).
 Before entry, the leading m by n part of the array B must
 contain the matrix B.

LDB

 LDB is INTEGER
 On entry, LDB specifies the first dimension of B as declared
 in the calling (sub) program. LDB must be at least
 max( 1, m ).

BETA

 BETA is COMPLEX
 On entry, BETA specifies the scalar beta. When BETA is
 supplied as zero then C need not be set on input.

 C is COMPLEX array of DIMENSION ( LDC, n ).
 Before entry, the leading m by n part of the array C must
 contain the matrix C, except when beta is zero, in which
 case C need not be set on entry.
 On exit, the array C is overwritten by the m by n updated
 matrix.

LDC

 LDC is INTEGER
 On entry, LDC specifies the first dimension of C as declared
 in the calling (sub) program. LDC must be at least
 max( 1, m ).

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Further Details:

 Level 3 Blas routine.
 -- Written on 8-February-1989.
 Jack Dongarra, Argonne National Laboratory.
 Iain Duff, AERE Harwell.
 Jeremy Du Croz, Numerical Algorithms Group Ltd.
 Sven Hammarling, Numerical Algorithms Group Ltd.

Definition at line 190 of file csymm.f.

Author