NAME

       zlanhe.f -

SYNOPSIS

   Functions/Subroutines
       double precision function zlanhe (NORM, UPLO, N, A, LDA, WORK)
           ZLANHE returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,
           or the element of largest absolute value of a complex Hermitian matrix.

Function/Subroutine Documentation

   double precision function zlanhe (character NORM, character UPLO, integer N, complex*16,
       dimension( lda, * ) A, integer LDA, double precision, dimension( * ) WORK)
       ZLANHE returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or
       the element of largest absolute value of a complex Hermitian matrix.

       Purpose:

            ZLANHE  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 hermitian matrix A.

       Returns:
           ZLANHE

               ZLANHE = ( 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 consistent matrix norm.

       Parameters:
           NORM

                     NORM is CHARACTER*1
                     Specifies the value to be returned in ZLANHE as described
                     above.

           UPLO

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

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.  When N = 0, ZLANHE is
                     set to zero.

           A

                     A is COMPLEX*16 array, dimension (LDA,N)
                     The hermitian 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. Note that the imaginary parts of the diagonal
                     elements need not be set and are assumed to be zero.

           LDA

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

           WORK

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

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           September 2012

Author

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