dla_gbrcond.f(3)						      LAPACK							  dla_gbrcond.f(3)

NAME

       dla_gbrcond.f -

SYNOPSIS

   Functions/Subroutines
       DOUBLE PRECISION function dla_gbrcond (TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, CMODE, C, INFO, WORK, IWORK)
	   DLA_GBRCOND estimates the Skeel condition number for a general banded matrix.

Function/Subroutine Documentation
   DOUBLE PRECISION function dla_gbrcond (characterTRANS, integerN, integerKL, integerKU, double precision, dimension( ldab, * )AB, integerLDAB,
       double precision, dimension( ldafb, * )AFB, integerLDAFB, integer, dimension( * )IPIV, integerCMODE, double precision, dimension( * )C,
       integerINFO, double precision, dimension( * )WORK, integer, dimension( * )IWORK)
       DLA_GBRCOND estimates the Skeel condition number for a general banded matrix.

       Purpose:

	       DLA_GBRCOND Estimates the Skeel condition number of  op(A) * op2(C)
	       where op2 is determined by CMODE as follows
	       CMODE =	1    op2(C) = C
	       CMODE =	0    op2(C) = I
	       CMODE = -1    op2(C) = inv(C)
	       The Skeel condition number  cond(A) = norminf( |inv(A)||A| )
	       is computed by computing scaling factors R such that
	       diag(R)*A*op2(C) is row equilibrated and computing the standard
	       infinity-norm condition number.

       Parameters:
	   TRANS

		     TRANS is CHARACTER*1
		Specifies the form of the system of equations:
		  = 'N':  A * X = B	(No transpose)
		  = 'T':  A**T * X = B	(Transpose)
		  = 'C':  A**H * X = B	(Conjugate Transpose = Transpose)

	   N

		     N is INTEGER
		The number of linear equations, i.e., 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 DOUBLE PRECISION array, dimension (LDAB,N)
		On entry, the matrix A in band storage, in rows 1 to KL+KU+1.
		The j-th column of A is stored in the j-th column of the
		array AB as follows:
		AB(KU+1+i-j,j) = A(i,j) for max(1,j-KU)<=i<=min(N,j+kl)

	   LDAB

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

	   AFB

		     AFB is DOUBLE PRECISION array, dimension (LDAFB,N)
		Details of the LU factorization of the band matrix A, as
		computed by DGBTRF.  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.

	   LDAFB

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

	   IPIV

		     IPIV is INTEGER array, dimension (N)
		The pivot indices from the factorization A = P*L*U
		as computed by DGBTRF; row i of the matrix was interchanged
		with row IPIV(i).

	   CMODE

		     CMODE is INTEGER
		Determines op2(C) in the formula op(A) * op2(C) as follows:
		CMODE =  1    op2(C) = C
		CMODE =  0    op2(C) = I
		CMODE = -1    op2(C) = inv(C)

	   C

		     C is DOUBLE PRECISION array, dimension (N)
		The vector C in the formula op(A) * op2(C).

	   INFO

		     INFO is INTEGER
		  = 0:	Successful exit.
		i > 0:	The ith argument is invalid.

	   WORK

		     WORK is DOUBLE PRECISION array, dimension (5*N).
		Workspace.

	   IWORK

		     IWORK is INTEGER array, dimension (N).
		Workspace.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 169 of file dla_gbrcond.f.

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

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