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cptcon.f(3)				      LAPACK				      cptcon.f(3)

NAME
       cptcon.f -

SYNOPSIS
   Functions/Subroutines
       subroutine cptcon (N, D, E, ANORM, RCOND, RWORK, INFO)
	   CPTCON

Function/Subroutine Documentation
   subroutine cptcon (integerN, real, dimension( * )D, complex, dimension( * )E, realANORM,
       realRCOND, real, dimension( * )RWORK, integerINFO)
       CPTCON

       Purpose:

	    CPTCON computes the reciprocal of the condition number (in the
	    1-norm) of a complex Hermitian positive definite tridiagonal matrix
	    using the factorization A = L*D*L**H or A = U**H*D*U computed by
	    CPTTRF.

	    Norm(inv(A)) is computed by a direct method, and the reciprocal of
	    the condition number is computed as
			     RCOND = 1 / (ANORM * norm(inv(A))).

       Parameters:
	   N

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

	   D

		     D is REAL array, dimension (N)
		     The n diagonal elements of the diagonal matrix D from the
		     factorization of A, as computed by CPTTRF.

	   E

		     E is COMPLEX array, dimension (N-1)
		     The (n-1) off-diagonal elements of the unit bidiagonal factor
		     U or L from the factorization of A, as computed by CPTTRF.

	   ANORM

		     ANORM is REAL
		     The 1-norm of the original 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 the
		     1-norm of inv(A) computed in this routine.

	   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:
	   September 2012

       Further Details:

	     The method used is described in Nicholas J. Higham, "Efficient
	     Algorithms for Computing the Condition Number of a Tridiagonal
	     Matrix", SIAM J. Sci. Stat. Comput., Vol. 7, No. 1, January 1986.

       Definition at line 120 of file cptcon.f.

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

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