clanhe (l)  Linux Manuals
clanhe: 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
Command to display clanhe
manual in Linux: $ man l clanhe
NAME
CLANHE  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
SYNOPSIS
 REAL FUNCTION

CLANHE( NORM, UPLO, N, A, LDA, WORK )

CHARACTER
NORM, UPLO

INTEGER
LDA, N

REAL
WORK( * )

COMPLEX
A( LDA, * )
PURPOSE
CLANHE 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.
DESCRIPTION
CLANHE returns the value
CLANHE
= ( 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 CLANHE as described
above.
 UPLO (input) CHARACTER*1

Specifies whether the upper or lower triangular part of the
hermitian matrix A is to be referenced.
= aqUaq: Upper triangular part of A is referenced
= aqLaq: Lower triangular part of A is referenced
 N (input) INTEGER

The order of the matrix A. N >= 0. When N = 0, CLANHE is
set to zero.
 A (input) COMPLEX array, dimension (LDA,N)

The hermitian matrix A. If UPLO = aqUaq, the leading n by n
upper triangular part of A contains the upper triangular part
of the matrix A, and the strictly lower triangular part of A
is not referenced. If UPLO = aqLaq, the leading n by n lower
triangular part of A contains the lower triangular part of
the matrix A, and the strictly upper triangular part of A is
not referenced. Note that the imaginary parts of the diagonal
elements need not be set and are assumed to be zero.
 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 or aq1aq or aqOaq; otherwise,
WORK is not referenced.
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