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cpbcon.f(3)				      LAPACK				      cpbcon.f(3)

NAME
       cpbcon.f -

SYNOPSIS
   Functions/Subroutines
       subroutine cpbcon (UPLO, N, KD, AB, LDAB, ANORM, RCOND, WORK, RWORK, INFO)
	   CPBCON

Function/Subroutine Documentation
   subroutine cpbcon (characterUPLO, integerN, integerKD, complex, dimension( ldab, * )AB,
       integerLDAB, realANORM, realRCOND, complex, dimension( * )WORK, real, dimension( * )RWORK,
       integerINFO)
       CPBCON

       Purpose:

	    CPBCON estimates the reciprocal of the condition number (in the
	    1-norm) of a complex Hermitian positive definite band matrix using
	    the Cholesky factorization A = U**H*U or A = L*L**H computed by
	    CPBTRF.

	    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 sub-diagonals if UPLO = 'L'.  KD >= 0.

	   AB

		     AB is COMPLEX array, dimension (LDAB,N)
		     The triangular factor U or L from the Cholesky factorization
		     A = U**H*U or A = L*L**H 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 REAL
		     The 1-norm (or infinity-norm) of the Hermitian band matrix A.

	   RCOND

		     RCOND is REAL
		     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 COMPLEX array, dimension (2*N)

	   RWORK

		     RWORK is REAL 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 133 of file cpbcon.f.

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

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