dpbcon(3) [centos man page]

dpbcon.f(3)							      LAPACK							       dpbcon.f(3)

NAME

       dpbcon.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dpbcon (UPLO, N, KD, AB, LDAB, ANORM, RCOND, WORK, IWORK, INFO)
	   DPBCON

Function/Subroutine Documentation
   subroutine dpbcon (characterUPLO, integerN, integerKD, double precision, dimension( ldab, * )AB, integerLDAB, double precisionANORM, double
       precisionRCOND, double precision, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO)
       DPBCON

       Purpose:

	    DPBCON estimates the reciprocal of the condition number (in the
	    1-norm) of a real symmetric positive definite band matrix using the
	    Cholesky factorization A = U**T*U or A = L*L**T computed by DPBTRF.

	    An estimate is obtained for norm(inv(A)), and the reciprocal of the
	    condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).

       Parameters:
	   UPLO

		     UPLO is CHARACTER*1
		     = 'U':  Upper triangular factor stored in AB;
		     = 'L':  Lower triangular factor stored in AB.

	   N

		     N is INTEGER
		     The order of the matrix A.  N >= 0.

	   KD

		     KD is INTEGER
		     The number of superdiagonals of the matrix A if UPLO = 'U',
		     or the number of subdiagonals if UPLO = 'L'.  KD >= 0.

	   AB

		     AB is DOUBLE PRECISION array, dimension (LDAB,N)
		     The triangular factor U or L from the Cholesky factorization
		     A = U**T*U or A = L*L**T of the band matrix A, stored in the
		     first KD+1 rows of the array.  The j-th column of U or L is
		     stored in the j-th column of the array AB as follows:
		     if UPLO ='U', AB(kd+1+i-j,j) = U(i,j) for max(1,j-kd)<=i<=j;
		     if UPLO ='L', AB(1+i-j,j)	  = L(i,j) for j<=i<=min(n,j+kd).

	   LDAB

		     LDAB is INTEGER
		     The leading dimension of the array AB.  LDAB >= KD+1.

	   ANORM

		     ANORM is DOUBLE PRECISION
		     The 1-norm (or infinity-norm) of the symmetric band matrix A.

	   RCOND

		     RCOND is DOUBLE PRECISION
		     The reciprocal of the condition number of the matrix A,
		     computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
		     estimate of the 1-norm of inv(A) computed in this routine.

	   WORK

		     WORK is DOUBLE PRECISION array, dimension (3*N)

	   IWORK

		     IWORK is INTEGER array, dimension (N)

	   INFO

		     INFO is INTEGER
		     = 0:  successful exit
		     < 0:  if INFO = -i, the i-th argument had an illegal value

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Definition at line 132 of file dpbcon.f.

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

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

Check Out this Related Man Page

DPBCON(l)								 )								 DPBCON(l)

NAME

       DPBCON  -  estimate  the  reciprocal  of  the  condition number (in the 1-norm) of a real symmetric positive definite band matrix using the
       Cholesky factorization A = U**T*U or A = L*L**T computed by DPBTRF

SYNOPSIS

       SUBROUTINE DPBCON( UPLO, N, KD, AB, LDAB, ANORM, RCOND, WORK, IWORK, INFO )

	   CHARACTER	  UPLO

	   INTEGER	  INFO, KD, LDAB, N

	   DOUBLE	  PRECISION ANORM, RCOND

	   INTEGER	  IWORK( * )

	   DOUBLE	  PRECISION AB( LDAB, * ), WORK( * )

PURPOSE

       DPBCON estimates the reciprocal of the condition number (in the 1-norm) of a  real  symmetric  positive	definite  band	matrix	using  the
       Cholesky  factorization	A  = U**T*U or A = L*L**T computed by DPBTRF.  An estimate is obtained for norm(inv(A)), and the reciprocal of the
       condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).

ARGUMENTS

       UPLO    (input) CHARACTER*1
	       = 'U':  Upper triangular factor stored in AB;
	       = 'L':  Lower triangular factor stored in AB.

       N       (input) INTEGER
	       The order of the matrix A.  N >= 0.

       KD      (input) INTEGER
	       The number of superdiagonals of the matrix A if UPLO = 'U', or the number of subdiagonals if UPLO = 'L'.  KD >= 0.

       AB      (input) DOUBLE PRECISION array, dimension (LDAB,N)
	       The triangular factor U or L from the Cholesky factorization A = U**T*U or A = L*L**T of the band matrix A,  stored  in	the  first
	       KD+1  rows  of  the  array.   The  j-th	column	of  U  or L is stored in the j-th column of the array AB as follows: if UPLO ='U',
	       AB(kd+1+i-j,j) = U(i,j) for max(1,j-kd)<=i<=j; if UPLO ='L', AB(1+i-j,j)    = L(i,j) for j<=i<=min(n,j+kd).

       LDAB    (input) INTEGER
	       The leading dimension of the array AB.  LDAB >= KD+1.

       ANORM   (input) DOUBLE PRECISION
	       The 1-norm (or infinity-norm) of the symmetric band matrix A.

       RCOND   (output) DOUBLE PRECISION
	       The reciprocal of the condition number of the matrix A, computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an estimate of  the
	       1-norm of inv(A) computed in this routine.

       WORK    (workspace) DOUBLE PRECISION array, dimension (3*N)

       IWORK   (workspace) INTEGER array, dimension (N)

       INFO    (output) INTEGER
	       = 0:  successful exit
	       < 0:  if INFO = -i, the i-th argument had an illegal value

LAPACK version 3.0						   15 June 2000 							 DPBCON(l)

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dpbcon(3) [centos man page]

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