ctbcon.f man page on Oracle

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ctbcon.f(3)			    LAPACK			   ctbcon.f(3)

NAME
       ctbcon.f -

SYNOPSIS
   Functions/Subroutines
       subroutine ctbcon (NORM, UPLO, DIAG, N, KD, AB, LDAB, RCOND, WORK,
	   RWORK, INFO)
	   CTBCON

Function/Subroutine Documentation
   subroutine ctbcon (characterNORM, characterUPLO, characterDIAG, integerN,
       integerKD, complex, dimension( ldab, * )AB, integerLDAB, realRCOND,
       complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO)
       CTBCON

       Purpose:

	    CTBCON estimates the reciprocal of the condition number of a
	    triangular band matrix A, in either the 1-norm or the infinity-norm.

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

       Parameters:
	   NORM

		     NORM is CHARACTER*1
		     Specifies whether the 1-norm condition number or the
		     infinity-norm condition number is required:
		     = '1' or 'O':  1-norm;
		     = 'I':	    Infinity-norm.

	   UPLO

		     UPLO is CHARACTER*1
		     = 'U':  A is upper triangular;
		     = 'L':  A is lower triangular.

	   DIAG

		     DIAG is CHARACTER*1
		     = 'N':  A is non-unit triangular;
		     = 'U':  A is unit triangular.

	   N

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

	   KD

		     KD is INTEGER
		     The number of superdiagonals or subdiagonals of the
		     triangular band matrix A.	KD >= 0.

	   AB

		     AB is COMPLEX array, dimension (LDAB,N)
		     The upper or lower triangular band matrix A, stored in the
		     first kd+1 rows of the array. The j-th column of A is stored
		     in the j-th column of the array AB as follows:
		     if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j;
		     if UPLO = 'L', AB(1+i-j,j)	   = A(i,j) for j<=i<=min(n,j+kd).
		     If DIAG = 'U', the diagonal elements of A are not referenced
		     and are assumed to be 1.

	   LDAB

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

	   RCOND

		     RCOND is REAL
		     The reciprocal of the condition number of the matrix A,
		     computed as RCOND = 1/(norm(A) * norm(inv(A))).

	   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 143 of file ctbcon.f.

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

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