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# dlanhs

```
NAME
DLANHS - return the value of the one norm, or the Frobenius
norm, or the infinity norm, or the element of largest abso-
lute value of a Hessenberg matrix A

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

CHARACTER    NORM

INTEGER      LDA, N

DOUBLE       PRECISION A( LDA, * ), WORK( * )

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.

DESCRIPTION
DLANHS returns the value

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  matrix norm.

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

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

A       (input) 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     (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'; otherwise, WORK is
not referenced.
```