clanhs (l) - Linux Manuals

clanhs: 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

Command to display clanhs manual in Linux: $ man l clanhs

NAME

CLANHS - 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

SYNOPSIS

REAL FUNCTION: CLANHS( NORM, N, A, LDA, WORK )
: CHARACTER NORM
: INTEGER LDA, N
: REAL WORK( * )
: COMPLEX A( LDA, * )

PURPOSE

CLANHS 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

CLANHS returns the value

CLANHS = ( max(abs(A(i,j))), NORM = aqMaq or aqmaq

      (

      ( norm1(A),         NORM = aq1aq, aqOaq or aqoaq

      (

      ( normI(A),         NORM = aqIaq or aqiaq

      (

      ( normF(A),         NORM = aqFaq, aqfaq, aqEaq or aqeaq 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 CLANHS as described above.
N (input) INTEGER: The order of the matrix A. N >= 0. When N = 0, CLANHS is set to zero.
A (input) COMPLEX 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) REAL array, dimension (MAX(1,LWORK)),: where LWORK >= N when NORM = aqIaq; otherwise, WORK is not referenced.