clansy()

real function clansy	(	character	norm,
		character	uplo,
		integer	n,
		complex, dimension( lda, * )	a,
		integer	lda,
		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.

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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

[in]	NORM	!> NORM is CHARACTER*1 !> Specifies the value to be returned in CLANSY as described !> above. !>
[in]	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 !>
[in]	N	!> N is INTEGER !> The order of the matrix A. N >= 0. When N = 0, CLANSY is !> set to zero. !>
[in]	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. !>
[in]	LDA	!> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(N,1). !>
[out]	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.