--- rpl/lapack/lapack/dla_gbrfsx_extended.f 2012/12/14 12:30:21 1.8
+++ rpl/lapack/lapack/dla_gbrfsx_extended.f 2023/08/07 08:38:52 1.17
@@ -2,18 +2,18 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLA_GBRFSX_EXTENDED + dependencies
-*>
-*> [TGZ]
-*>
-*> [ZIP]
-*>
+*> Download DLA_GBRFSX_EXTENDED + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
*> [TXT]
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
@@ -25,7 +25,7 @@
* ERR_BNDS_COMP, RES, AYB, DY,
* Y_TAIL, RCOND, ITHRESH, RTHRESH,
* DZ_UB, IGNORE_CWISE, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, LDAB, LDAFB, LDB, LDY, N, KL, KU, NRHS,
* $ PREC_TYPE, TRANS_TYPE, N_NORMS, ITHRESH
@@ -40,14 +40,14 @@
* $ ERR_BNDS_NORM( NRHS, * ),
* $ ERR_BNDS_COMP( NRHS, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
-*>
+*>
*> DLA_GBRFSX_EXTENDED improves the computed solution to a system of
*> linear equations by performing extra-precise iterative refinement
*> and provides error bounds and backward error estimates for the solution.
@@ -55,7 +55,7 @@
*> In addition to normwise error bound, the code provides maximum
*> componentwise error bound if possible. See comments for ERR_BNDS_NORM
*> and ERR_BNDS_COMP for details of the error bounds. Note that this
-*> subroutine is only resonsible for setting the second fields of
+*> subroutine is only responsible for setting the second fields of
*> ERR_BNDS_NORM and ERR_BNDS_COMP.
*> \endverbatim
*
@@ -66,19 +66,19 @@
*> \verbatim
*> PREC_TYPE is INTEGER
*> Specifies the intermediate precision to be used in refinement.
-*> The value is defined by ILAPREC(P) where P is a CHARACTER and
-*> P = 'S': Single
+*> The value is defined by ILAPREC(P) where P is a CHARACTER and P
+*> = 'S': Single
*> = 'D': Double
*> = 'I': Indigenous
-*> = 'X', 'E': Extra
+*> = 'X' or 'E': Extra
*> \endverbatim
*>
*> \param[in] TRANS_TYPE
*> \verbatim
*> TRANS_TYPE is INTEGER
*> Specifies the transposition operation on A.
-*> The value is defined by ILATRANS(T) where T is a CHARACTER and
-*> T = 'N': No transpose
+*> The value is defined by ILATRANS(T) where T is a CHARACTER and T
+*> = 'N': No transpose
*> = 'T': Transpose
*> = 'C': Conjugate transpose
*> \endverbatim
@@ -177,8 +177,7 @@
*>
*> \param[in,out] Y
*> \verbatim
-*> Y is DOUBLE PRECISION array, dimension
-*> (LDY,NRHS)
+*> Y is DOUBLE PRECISION array, dimension (LDY,NRHS)
*> On entry, the solution matrix X, as computed by DGBTRS.
*> On exit, the improved solution matrix Y.
*> \endverbatim
@@ -210,8 +209,7 @@
*>
*> \param[in,out] ERR_BNDS_NORM
*> \verbatim
-*> ERR_BNDS_NORM is DOUBLE PRECISION array, dimension
-*> (NRHS, N_ERR_BNDS)
+*> ERR_BNDS_NORM is DOUBLE PRECISION array, dimension (NRHS, N_ERR_BNDS)
*> For each right-hand side, this array contains information about
*> various error bounds and condition numbers corresponding to the
*> normwise relative error, which is defined as follows:
@@ -257,8 +255,7 @@
*>
*> \param[in,out] ERR_BNDS_COMP
*> \verbatim
-*> ERR_BNDS_COMP is DOUBLE PRECISION array, dimension
-*> (NRHS, N_ERR_BNDS)
+*> ERR_BNDS_COMP is DOUBLE PRECISION array, dimension (NRHS, N_ERR_BNDS)
*> For each right-hand side, this array contains information about
*> various error bounds and condition numbers corresponding to the
*> componentwise relative error, which is defined as follows:
@@ -273,7 +270,7 @@
*> information as described below. There currently are up to three
*> pieces of information returned for each right-hand side. If
*> componentwise accuracy is not requested (PARAMS(3) = 0.0), then
-*> ERR_BNDS_COMP is not accessed. If N_ERR_BNDS .LT. 3, then at most
+*> ERR_BNDS_COMP is not accessed. If N_ERR_BNDS < 3, then at most
*> the first (:,N_ERR_BNDS) entries are returned.
*>
*> The first index in ERR_BNDS_COMP(i,:) corresponds to the ith
@@ -372,7 +369,7 @@
*> DZ_UB is DOUBLE PRECISION
*> Determines when to start considering componentwise convergence.
*> Componentwise convergence is only considered after each component
-*> of the solution Y is stable, which we definte as the relative
+*> of the solution Y is stable, which we define as the relative
*> change in each component being less than DZ_UB. The default value
*> is 0.25, requiring the first bit to be stable. See LAWN 165 for
*> more details.
@@ -396,12 +393,10 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
-*
-*> \date September 2012
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
*> \ingroup doubleGBcomputational
*
@@ -414,10 +409,9 @@
$ Y_TAIL, RCOND, ITHRESH, RTHRESH,
$ DZ_UB, IGNORE_CWISE, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
*
* .. Scalar Arguments ..
INTEGER INFO, LDAB, LDAFB, LDB, LDY, N, KL, KU, NRHS,
@@ -707,4 +701,7 @@
END DO
*
RETURN
+*
+* End of DLA_GBRFSX_EXTENDED
+*
END