debian man page for dtbtrs

dtbtrs.f(3)							      LAPACK							       dtbtrs.f(3)

NAME
       dtbtrs.f -

SYNOPSIS
   Functions/Subroutines
       subroutine dtbtrs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, INFO)
	   DTBTRS

Function/Subroutine Documentation
   subroutine dtbtrs (characterUPLO, characterTRANS, characterDIAG, integerN, integerKD, integerNRHS, double precision, dimension( ldab, * )AB,
       integerLDAB, double precision, dimension( ldb, * )B, integerLDB, integerINFO)
       DTBTRS

       Purpose:

	    DTBTRS solves a triangular system of the form

	       A * X = B  or  A**T * X = B,

	    where A is a triangular band matrix of order N, and B is an
	    N-by NRHS matrix.  A check is made to verify that A is nonsingular.

       Parameters:
	   UPLO

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

	   TRANS

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

	   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.

	   NRHS

		     NRHS is INTEGER
		     The number of right hand sides, i.e., the number of columns
		     of the matrix B.  NRHS >= 0.

	   AB

		     AB is DOUBLE PRECISION array, dimension (LDAB,N)
		     The upper or lower triangular band matrix A, stored in the
		     first kd+1 rows of AB.  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.

	   B

		     B is DOUBLE PRECISION array, dimension (LDB,NRHS)
		     On entry, the right hand side matrix B.
		     On exit, if INFO = 0, the solution matrix X.

	   LDB

		     LDB is INTEGER
		     The leading dimension of the array B.  LDB >= max(1,N).

	   INFO

		     INFO is INTEGER
		     = 0:  successful exit
		     < 0:  if INFO = -i, the i-th argument had an illegal value
		     > 0:  if INFO = i, the i-th diagonal element of A is zero,
			   indicating that the matrix is singular and the
			   solutions X have not been computed.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Definition at line 146 of file dtbtrs.f.

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

Version 3.4.1							  Sun May 26 2013						       dtbtrs.f(3)