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RedHat 9 (Linux i386) - man page for zlansp (redhat section l)

ZLANSP(l)					)					ZLANSP(l)

NAME
       ZLANSP - 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, supplied in  packed
       form

SYNOPSIS
       DOUBLE PRECISION FUNCTION ZLANSP( NORM, UPLO, N, AP, WORK )

	   CHARACTER	NORM, UPLO

	   INTEGER	N

	   DOUBLE	PRECISION WORK( * )

	   COMPLEX*16	AP( * )

PURPOSE
       ZLANSP  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, supplied in  packed
       form.

DESCRIPTION
       ZLANSP returns the value

	  ZLANSP = ( 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 ZLANSP as described above.

       UPLO    (input) CHARACTER*1
	       Specifies whether the upper or lower triangular part of the symmetric matrix A  is
	       supplied.  = 'U':  Upper triangular part of A is supplied
	       = 'L':  Lower triangular part of A is supplied

       N       (input) INTEGER
	       The order of the matrix A.  N >= 0.  When N = 0, ZLANSP is set to zero.

       AP      (input) COMPLEX*16 array, dimension (N*(N+1)/2)
	       The upper or lower triangle of the symmetric matrix A, packed columnwise in a lin-
	       ear array.  The j-th column of A is stored in the array AP as follows: if  UPLO	=
	       'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; if UPLO = 'L', AP(i + (j-1)*(2n-j)/2)
	       = A(i,j) for j<=i<=n.

       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 				ZLANSP(l)


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