--- rpl/lapack/lapack/dlagts.f 2010/08/13 21:03:49 1.6
+++ rpl/lapack/lapack/dlagts.f 2012/12/14 12:30:22 1.12
@@ -1,9 +1,170 @@
+*> \brief \b DLAGTS solves the system of equations (T-λI)x = y or (T-λI)Tx = y,where T is a general tridiagonal matrix and λ a scalar, using the LU factorization computed by slagtf.
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DLAGTS + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DLAGTS( JOB, N, A, B, C, D, IN, Y, TOL, INFO )
+*
+* .. Scalar Arguments ..
+* INTEGER INFO, JOB, N
+* DOUBLE PRECISION TOL
+* ..
+* .. Array Arguments ..
+* INTEGER IN( * )
+* DOUBLE PRECISION A( * ), B( * ), C( * ), D( * ), Y( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DLAGTS may be used to solve one of the systems of equations
+*>
+*> (T - lambda*I)*x = y or (T - lambda*I)**T*x = y,
+*>
+*> where T is an n by n tridiagonal matrix, for x, following the
+*> factorization of (T - lambda*I) as
+*>
+*> (T - lambda*I) = P*L*U ,
+*>
+*> by routine DLAGTF. The choice of equation to be solved is
+*> controlled by the argument JOB, and in each case there is an option
+*> to perturb zero or very small diagonal elements of U, this option
+*> being intended for use in applications such as inverse iteration.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] JOB
+*> \verbatim
+*> JOB is INTEGER
+*> Specifies the job to be performed by DLAGTS as follows:
+*> = 1: The equations (T - lambda*I)x = y are to be solved,
+*> but diagonal elements of U are not to be perturbed.
+*> = -1: The equations (T - lambda*I)x = y are to be solved
+*> and, if overflow would otherwise occur, the diagonal
+*> elements of U are to be perturbed. See argument TOL
+*> below.
+*> = 2: The equations (T - lambda*I)**Tx = y are to be solved,
+*> but diagonal elements of U are not to be perturbed.
+*> = -2: The equations (T - lambda*I)**Tx = y are to be solved
+*> and, if overflow would otherwise occur, the diagonal
+*> elements of U are to be perturbed. See argument TOL
+*> below.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrix T.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*> A is DOUBLE PRECISION array, dimension (N)
+*> On entry, A must contain the diagonal elements of U as
+*> returned from DLAGTF.
+*> \endverbatim
+*>
+*> \param[in] B
+*> \verbatim
+*> B is DOUBLE PRECISION array, dimension (N-1)
+*> On entry, B must contain the first super-diagonal elements of
+*> U as returned from DLAGTF.
+*> \endverbatim
+*>
+*> \param[in] C
+*> \verbatim
+*> C is DOUBLE PRECISION array, dimension (N-1)
+*> On entry, C must contain the sub-diagonal elements of L as
+*> returned from DLAGTF.
+*> \endverbatim
+*>
+*> \param[in] D
+*> \verbatim
+*> D is DOUBLE PRECISION array, dimension (N-2)
+*> On entry, D must contain the second super-diagonal elements
+*> of U as returned from DLAGTF.
+*> \endverbatim
+*>
+*> \param[in] IN
+*> \verbatim
+*> IN is INTEGER array, dimension (N)
+*> On entry, IN must contain details of the matrix P as returned
+*> from DLAGTF.
+*> \endverbatim
+*>
+*> \param[in,out] Y
+*> \verbatim
+*> Y is DOUBLE PRECISION array, dimension (N)
+*> On entry, the right hand side vector y.
+*> On exit, Y is overwritten by the solution vector x.
+*> \endverbatim
+*>
+*> \param[in,out] TOL
+*> \verbatim
+*> TOL is DOUBLE PRECISION
+*> On entry, with JOB .lt. 0, TOL should be the minimum
+*> perturbation to be made to very small diagonal elements of U.
+*> TOL should normally be chosen as about eps*norm(U), where eps
+*> is the relative machine precision, but if TOL is supplied as
+*> non-positive, then it is reset to eps*max( abs( u(i,j) ) ).
+*> If JOB .gt. 0 then TOL is not referenced.
+*>
+*> On exit, TOL is changed as described above, only if TOL is
+*> non-positive on entry. Otherwise TOL is unchanged.
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0 : successful exit
+*> .lt. 0: if INFO = -i, the i-th argument had an illegal value
+*> .gt. 0: overflow would occur when computing the INFO(th)
+*> element of the solution vector x. This can only occur
+*> when JOB is supplied as positive and either means
+*> that a diagonal element of U is very small, or that
+*> the elements of the right-hand side vector y are very
+*> large.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date September 2012
+*
+*> \ingroup auxOTHERauxiliary
+*
+* =====================================================================
SUBROUTINE DLAGTS( JOB, N, A, B, C, D, IN, Y, TOL, INFO )
*
-* -- LAPACK auxiliary routine (version 3.2) --
+* -- LAPACK auxiliary routine (version 3.4.2) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
+* September 2012
*
* .. Scalar Arguments ..
INTEGER INFO, JOB, N
@@ -14,89 +175,6 @@
DOUBLE PRECISION A( * ), B( * ), C( * ), D( * ), Y( * )
* ..
*
-* Purpose
-* =======
-*
-* DLAGTS may be used to solve one of the systems of equations
-*
-* (T - lambda*I)*x = y or (T - lambda*I)'*x = y,
-*
-* where T is an n by n tridiagonal matrix, for x, following the
-* factorization of (T - lambda*I) as
-*
-* (T - lambda*I) = P*L*U ,
-*
-* by routine DLAGTF. The choice of equation to be solved is
-* controlled by the argument JOB, and in each case there is an option
-* to perturb zero or very small diagonal elements of U, this option
-* being intended for use in applications such as inverse iteration.
-*
-* Arguments
-* =========
-*
-* JOB (input) INTEGER
-* Specifies the job to be performed by DLAGTS as follows:
-* = 1: The equations (T - lambda*I)x = y are to be solved,
-* but diagonal elements of U are not to be perturbed.
-* = -1: The equations (T - lambda*I)x = y are to be solved
-* and, if overflow would otherwise occur, the diagonal
-* elements of U are to be perturbed. See argument TOL
-* below.
-* = 2: The equations (T - lambda*I)'x = y are to be solved,
-* but diagonal elements of U are not to be perturbed.
-* = -2: The equations (T - lambda*I)'x = y are to be solved
-* and, if overflow would otherwise occur, the diagonal
-* elements of U are to be perturbed. See argument TOL
-* below.
-*
-* N (input) INTEGER
-* The order of the matrix T.
-*
-* A (input) DOUBLE PRECISION array, dimension (N)
-* On entry, A must contain the diagonal elements of U as
-* returned from DLAGTF.
-*
-* B (input) DOUBLE PRECISION array, dimension (N-1)
-* On entry, B must contain the first super-diagonal elements of
-* U as returned from DLAGTF.
-*
-* C (input) DOUBLE PRECISION array, dimension (N-1)
-* On entry, C must contain the sub-diagonal elements of L as
-* returned from DLAGTF.
-*
-* D (input) DOUBLE PRECISION array, dimension (N-2)
-* On entry, D must contain the second super-diagonal elements
-* of U as returned from DLAGTF.
-*
-* IN (input) INTEGER array, dimension (N)
-* On entry, IN must contain details of the matrix P as returned
-* from DLAGTF.
-*
-* Y (input/output) DOUBLE PRECISION array, dimension (N)
-* On entry, the right hand side vector y.
-* On exit, Y is overwritten by the solution vector x.
-*
-* TOL (input/output) DOUBLE PRECISION
-* On entry, with JOB .lt. 0, TOL should be the minimum
-* perturbation to be made to very small diagonal elements of U.
-* TOL should normally be chosen as about eps*norm(U), where eps
-* is the relative machine precision, but if TOL is supplied as
-* non-positive, then it is reset to eps*max( abs( u(i,j) ) ).
-* If JOB .gt. 0 then TOL is not referenced.
-*
-* On exit, TOL is changed as described above, only if TOL is
-* non-positive on entry. Otherwise TOL is unchanged.
-*
-* INFO (output) INTEGER
-* = 0 : successful exit
-* .lt. 0: if INFO = -i, the i-th argument had an illegal value
-* .gt. 0: overflow would occur when computing the INFO(th)
-* element of the solution vector x. This can only occur
-* when JOB is supplied as positive and either means
-* that a diagonal element of U is very small, or that
-* the elements of the right-hand side vector y are very
-* large.
-*
* =====================================================================
*
* .. Parameters ..