ZLANHP(3)      LAPACK routine of NEC Numeric Library Collection      ZLANHP(3)



NAME
       ZLANHP

SYNOPSIS
       DOUBLE PRECISION FUNCTION ZLANHP (NORM, UPLO, N, AP, WORK)



PURPOSE
            ZLANHP  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,  supplied in packed form.


       Returns:
           ZLANHP

               ZLANHP = ( 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.




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

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

           N         (input)
                     N is INTEGER
                     The order of the matrix A.  N >= 0.  When N = 0, ZLANHP is
                     set to zero.

           AP        (input)
                     AP is COMPLEX*16 array, dimension (N*(N+1)/2)
                     The upper or lower triangle of the hermitian matrix A, packed
                     columnwise in a linear array.  The j-th column of A is stored
                     in the array AP as follows:
                     if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
                     if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.
                     Note that the  imaginary parts of the diagonal elements need
                     not be set and are assumed to be zero.

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



LAPACK routine                  31 October 2017                      ZLANHP(3)