SRC/dlanhs.f(3)            Library Functions Manual            SRC/dlanhs.f(3)

NAME
       SRC/dlanhs.f

SYNOPSIS
   Functions/Subroutines
       double precision function dlanhs (norm, n, a, lda, work)
           DLANHS returns the value of the 1-norm, Frobenius norm,
           infinity-norm, or the largest absolute value of any element of an
           upper Hessenberg matrix.

Function/Subroutine Documentation
   double precision function dlanhs (character norm, integer n, double
       precision, dimension( lda, * ) a, integer lda, double precision,
       dimension( * ) work)
       DLANHS returns the value of the 1-norm, Frobenius norm, infinity-norm,
       or the largest absolute value of any element of an upper Hessenberg
       matrix.

       Purpose:


            DLANHS  returns the value of the one norm,  or the Frobenius norm, or
            the  infinity norm,  or the  element of  largest absolute value  of a
            Hessenberg matrix A.

       Returns
           DLANHS

               DLANHS = ( 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 DLANHS as described
                     above.

           N

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

           A

                     A is DOUBLE PRECISION array, dimension (LDA,N)
                     The n by n upper Hessenberg matrix A; the part of A below the
                     first sub-diagonal is not referenced.

           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'; otherwise, WORK is not
                     referenced.

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 107 of file dlanhs.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                 SRC/dlanhs.f(3)