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clansy-f(3)

clansy.f –

Synopsis

Functions/Subroutines

REAL function clansy (NORM, UPLO, N, A, LDA, WORK)
CLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex symmetric matrix.

Function/Subroutine Documentation

REAL function clansy (characterNORM, characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )WORK)

CLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex symmetric matrix.

Purpose:

 CLANSY 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.

Returns:

CLANSY

 CLANSY = ( 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 CLANSY as described
 above.

UPLO

 UPLO is 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

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

A

 A is COMPLEX 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

 LDA is INTEGER
 The leading dimension of the array A. LDA >= max(N,1).

WORK

 WORK is REAL array, dimension (MAX(1,LWORK)),
 where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise,
 WORK is not referenced.

 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

September 2012

Definition at line 124 of file clansy.f.

Author

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