zsyr.f(3)

NAME
zsyr.f -

SYNOPSIS

  Functions/Subroutines

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

Function/Subroutine Documentation

  subroutine zsyr (characterUPLO, integerN, complex*16ALPHA, complex*16, dimension( * )X, integerINCX, complex*16, dimension( lda, * )A, integerLDA)

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

Purpose:

     ZSYR   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*16
               On entry, ALPHA specifies the scalar alpha.
               Unchanged on exit.

    X

              X is COMPLEX*16 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*16 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 zsyr.f.

Author

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