CLANSY man page on Scientific

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CLANSY(1)	    LAPACK auxiliary routine (version 3.2)	     CLANSY(1)

NAME
       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  com‐
       plex symmetric matrix A

SYNOPSIS
       REAL FUNCTION CLANSY( NORM, UPLO, N, A, LDA, WORK )

	   CHARACTER NORM, UPLO

	   INTEGER   LDA, N

	   REAL	     WORK( * )

	   COMPLEX   A( LDA, * )

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.

DESCRIPTION
       CLANSY returns the value
	  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.

ARGUMENTS
       NORM    (input) CHARACTER*1
	       Specifies the value to  be  returned  in	 CLANSY	 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 triangu‐
	       lar 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, CLANSY is set
	       to zero.

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

 LAPACK auxiliary routine (versioNovember 2008			     CLANSY(1)
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