zsymm.f man page

zsymm.f —

Synopsis

Functions/Subroutines

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

Function/Subroutine Documentation

subroutine zsymm (characterSIDE, characterUPLO, integerM, integerN, complex*16ALPHA, complex*16, dimension(lda,*)A, integerLDA, complex*16, dimension(ldb,*)B, integerLDB, complex*16BETA, complex*16, dimension(ldc,*)C, integerLDC)

ZSYMM Purpose:

ZSYMM  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

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

N

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*16
 On entry, ALPHA specifies the scalar alpha.

A

A is COMPLEX*16 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

B is COMPLEX*16 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*16
 On entry,  BETA  specifies the scalar  beta.  When  BETA  is
 supplied as zero then C need not be set on input.

C

C is COMPLEX*16 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 zsymm.f.

Author

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Referenced By

zsymm(3) is an alias of zsymm.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK