csyr.f man page

csyr.f —

Synopsis

Functions/Subroutines

subroutine csyr (UPLO, N, ALPHA, X, INCX, A, LDA)
CSYR performs the symmetric rank-1 update of a complex symmetric matrix.

Function/Subroutine Documentation

subroutine csyr (characterUPLO, integerN, complexALPHA, complex, dimension( * )X, integerINCX, complex, dimension( lda, * )A, integerLDA)

CSYR performs the symmetric rank-1 update of a complex symmetric matrix.

Purpose:

CSYR   performs the symmetric rank 1 operation

   A := alpha*x*x**H + A,

where alpha is a complex scalar, x is an n element vector and A is an
n by n symmetric matrix.

Parameters:

UPLO

UPLO is CHARACTER*1
 On entry, UPLO specifies whether the upper or lower
 triangular part of the array A is to be referenced as
 follows:

    UPLO = 'U' or 'u'   Only the upper triangular part of A
                        is to be referenced.

    UPLO = 'L' or 'l'   Only the lower triangular part of A
                        is to be referenced.

 Unchanged on exit.

N

N is INTEGER
 On entry, N specifies the order of the matrix A.
 N must be at least zero.
 Unchanged on exit.

ALPHA

ALPHA is COMPLEX
 On entry, ALPHA specifies the scalar alpha.
 Unchanged on exit.

X

X is COMPLEX array, dimension at least
 ( 1 + ( N - 1 )*abs( INCX ) ).
 Before entry, the incremented array X must contain the N-
 element vector x.
 Unchanged on exit.

INCX

INCX is INTEGER
 On entry, INCX specifies the increment for the elements of
 X. INCX must not be zero.
 Unchanged on exit.

A

A is COMPLEX array, dimension ( LDA, N )
 Before entry, with  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. On exit, the
 upper triangular part of the array A is overwritten by the
 upper triangular part of the updated matrix.
 Before entry, with 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. On exit, the
 lower triangular part of the array A is overwritten by the
 lower triangular part of the updated matrix.

LDA

LDA is INTEGER
 On entry, LDA specifies the first dimension of A as declared
 in the calling (sub) program. LDA must be at least
 max( 1, N ).
 Unchanged on exit.

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

September 2012

Definition at line 136 of file csyr.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

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

Sat Nov 16 2013 Version 3.4.2 LAPACK