clansp.f(3) [centos man page]

clansp.f(3)							      LAPACK							       clansp.f(3)

NAME

       clansp.f -

SYNOPSIS

   Functions/Subroutines
       REAL function clansp (NORM, UPLO, N, AP, WORK)
	   CLANSP 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
   REAL function clansp (characterNORM, characterUPLO, integerN, complex, dimension( * )AP, real, dimension( * )WORK)
       CLANSP 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:

	    CLANSP  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:
	   CLANSP

	       CLANSP = ( 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 CLANSP 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, CLANSP is
		     set to zero.

	   AP

		     AP is COMPLEX 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 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.

       Date:
	   September 2012

       Definition at line 116 of file clansp.f.

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

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

Check Out this Related Man Page

CLANSP(l)								 )								 CLANSP(l)

NAME

       CLANSP  - 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

       REAL FUNCTION CLANSP( NORM, UPLO, N, AP, WORK )

	   CHARACTER NORM, UPLO

	   INTEGER   N

	   REAL      WORK( * )

	   COMPLEX   AP( * )

PURPOSE

       CLANSP 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

       CLANSP returns the value

	  CLANSP = ( 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 CLANSP 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, CLANSP is set to zero.

       AP      (input) COMPLEX 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) REAL 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 							 CLANSP(l)

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