zlansp(l) [redhat man page]

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 com-
       plex 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  com-
       plex 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 linear 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)

zlansp.f(3)							      LAPACK							       zlansp.f(3)

NAME

       zlansp.f -

SYNOPSIS

   Functions/Subroutines
       DOUBLE PRECISION function zlansp (NORM, UPLO, N, AP, WORK)
	   ZLANSP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a
	   symmetric matrix supplied in packed form.

Function/Subroutine Documentation
   DOUBLE PRECISION function zlansp (characterNORM, characterUPLO, integerN, complex*16, dimension( * )AP, double precision, dimension( * )WORK)
       ZLANSP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a
       symmetric matrix supplied in packed form.

       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.

       Returns:
	   ZLANSP

	       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 consistent matrix norm.

       Parameters:
	   NORM

		     NORM is CHARACTER*1
		     Specifies the value to be returned in ZLANSP as described
		     above.

	   UPLO

		     UPLO is 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

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

	   AP

		     AP is COMPLEX*16 array, dimension (N*(N+1)/2)
		     The upper or lower triangle of the symmetric matrix A, packed
		     columnwise in a linear 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

		     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:
	   September 2012

       Definition at line 116 of file zlansp.f.

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

Version 3.4.2							  Tue Sep 25 2012						       zlansp.f(3)