csyr-f(3)

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 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 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 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

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