zlansy(3F)

NAME
     ZLANSY - return the value of the one norm, or the Frobenius norm, or the
     infinity norm, or the element of largest absolute value of a complex
     symmetric matrix A

SYNOPSIS
     DOUBLE PRECISION FUNCTION ZLANSY( NORM, UPLO, N, A, LDA, WORK )

         CHARACTER    NORM, UPLO

         INTEGER      LDA, N

         DOUBLE       PRECISION WORK( * )

         COMPLEX*16   A( LDA, * )

PURPOSE
     ZLANSY  returns the value of the one norm,  or the Frobenius norm, or the
     infinity norm,  or the  element of  largest absolute value  of a complex
     symmetric matrix A.


DESCRIPTION
     ZLANSY returns the value

        ZLANSY = ( max(abs(A(i,j))), NORM = 'M' or 'm'
                 (
                 ( norm1(A),         NORM = '1', 'O' or 'o'
                 (
                 ( normI(A),         NORM = 'I' or 'i'
                 (
                 ( normF(A),         NORM = 'F', 'f', 'E' or 'e'

     where  norm1  denotes the  one norm of a matrix (maximum column sum),
     normI  denotes the  infinity norm  of a matrix  (maximum row sum) and
     normF  denotes the  Frobenius norm of a matrix (square root of sum of
     squares).  Note that  max(abs(A(i,j)))  is not a  matrix norm.


ARGUMENTS
     NORM    (input) CHARACTER*1
             Specifies the value to be returned in ZLANSY as described above.

     UPLO    (input) CHARACTER*1
             Specifies whether the upper or lower triangular part of the
             symmetric matrix A is to be referenced.  = 'U':  Upper triangular
             part of A is referenced
             = 'L':  Lower triangular part of A is referenced

     N       (input) INTEGER
             The order of the matrix A.  N >= 0.  When N = 0, ZLANSY is set to
             zero.
     A       (input) COMPLEX*16 array, dimension (LDA,N)
             The symmetric matrix A.  If UPLO = 'U', the leading n by n upper
             triangular part of A contains the upper triangular part of the
             matrix A, and the strictly lower triangular part of A is not
             referenced.  If UPLO = 'L', the leading n by n lower triangular
             part of A contains the lower triangular part of the matrix A, and
             the strictly upper triangular part of A is not referenced.

     LDA     (input) INTEGER
             The leading dimension of the array A.  LDA >= max(N,1).

     WORK    (workspace) DOUBLE PRECISION array, dimension (LWORK),
             where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise, WORK
             is not referenced.