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Livre :
Expressions régulières,
Syntaxe et mise en oeuvre :

ISBN : 978-2-7460-9712-4
EAN : 9782746097124
(Editions ENI)

GNU/Linux	CentOS 4.8	i386
	zlansy(l)

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ZLANSY

NAME
SYNOPSIS
PURPOSE
DESCRIPTION
ARGUMENTS

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NAME

ZLANSY - return the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex symmetric matrix A

SYNOPSIS

	DOUBLE PRECISION		FUNCTION ZLANSY( NORM, UPLO, N, A, LDA, WORK )
	CHARACTER		NORM, UPLO
	INTEGER		LDA, N
	DOUBLE		PRECISION WORK( * )
	COMPLEX*16		A( LDA, * )

PURPOSE

ZLANSY 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 symmetric matrix A.

DESCRIPTION

ZLANSY returns the value

ZLANSY = ( 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 ZLANSY as described above.

UPLO (input) CHARACTER*1

Specifies whether the upper or lower triangular part of the symmetric matrix A is to be referenced. = ’U’: Upper triangular part of A is referenced
= ’L’: Lower triangular part of A is referenced

N (input) INTEGER

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

A (input) COMPLEX*16 array, dimension (LDA,N)

The symmetric matrix A. If UPLO = ’U’, 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 = ’L’, 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.

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’ or ’1’ or ’O’; otherwise, WORK is not referenced.

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zlansy(l)