zlansy(l) [redhat man page]

ZLANSY(l)								 )								 ZLANSY(l)

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 com-
       plex 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  com-
       plex 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.

LAPACK version 3.0						   15 June 2000 							 ZLANSY(l)

zlansy.f(3)							      LAPACK							       zlansy.f(3)

NAME

       zlansy.f -

SYNOPSIS

   Functions/Subroutines
       DOUBLE PRECISION function zlansy (NORM, UPLO, N, A, LDA, WORK)
	   ZLANSY

Function/Subroutine Documentation
   DOUBLE PRECISION function zlansy (characterNORM, characterUPLO, integerN, complex*16, dimension( lda, * )A, integerLDA, double precision,
       dimension( * )WORK)
       ZLANSY

       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.

       Returns:
	   ZLANSY

	       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 consistent matrix norm.

       Parameters:
	   NORM

		     NORM is CHARACTER*1
		     Specifies the value to be returned in ZLANSY 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, ZLANSY is
		     set to zero.

	   A

		     A is 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

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

	   WORK

		     WORK is DOUBLE PRECISION 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:
	   November 2011

       Definition at line 124 of file zlansy.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.1							  Sun May 26 2013						       zlansy.f(3)