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sgbcon.f(3)				      LAPACK				      sgbcon.f(3)

NAME
       sgbcon.f -

SYNOPSIS
   Functions/Subroutines
       subroutine sgbcon (NORM, N, KL, KU, AB, LDAB, IPIV, ANORM, RCOND, WORK, IWORK, INFO)
	   SGBCON

Function/Subroutine Documentation
   subroutine sgbcon (characterNORM, integerN, integerKL, integerKU, real, dimension( ldab, *
       )AB, integerLDAB, integer, dimension( * )IPIV, realANORM, realRCOND, real, dimension( *
       )WORK, integer, dimension( * )IWORK, integerINFO)
       SGBCON

       Purpose:

	    SGBCON estimates the reciprocal of the condition number of a real
	    general band matrix A, in either the 1-norm or the infinity-norm,
	    using the LU factorization computed by SGBTRF.

	    An estimate is obtained for norm(inv(A)), and 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.

	   N

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

	   KL

		     KL is INTEGER
		     The number of subdiagonals within the band of A.  KL >= 0.

	   KU

		     KU is INTEGER
		     The number of superdiagonals within the band of A.  KU >= 0.

	   AB

		     AB is REAL array, dimension (LDAB,N)
		     Details of the LU factorization of the band matrix A, as
		     computed by SGBTRF.  U is stored as an upper triangular band
		     matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and
		     the multipliers used during the factorization are stored in
		     rows KL+KU+2 to 2*KL+KU+1.

	   LDAB

		     LDAB is INTEGER
		     The leading dimension of the array AB.  LDAB >= 2*KL+KU+1.

	   IPIV

		     IPIV is INTEGER array, dimension (N)
		     The pivot indices; for 1 <= i <= N, row i of the matrix was
		     interchanged with row IPIV(i).

	   ANORM

		     ANORM is REAL
		     If NORM = '1' or 'O', the 1-norm of the original matrix A.
		     If NORM = 'I', the infinity-norm of the original matrix A.

	   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 REAL 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 146 of file sgbcon.f.

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

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