Provided by: liblapack-doc_3.3.1-1_all bug

NAME

       LAPACK-3 - 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

SYNOPSIS

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

           CHARACTER    NORM, UPLO

           INTEGER      N

           DOUBLE       PRECISION WORK( * )

           COMPLEX*16   AP( * )

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.

DESCRIPTION

        ZLANHP returns the value
           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) CHARACTER*1
                Specifies the value to be returned in ZLANHP as described
                above.

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

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

 LAPACK auxiliary routine (version 3.2)     April 2011                            ZLANHP(3lapack)