aboutsummaryrefslogtreecommitdiff
path: root/SRC/dlaic1.f
diff options
context:
space:
mode:
authorjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
committerjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
commite1d39294aee16fa6db9ba079b14442358217db71 (patch)
tree30e5aa04c1f6596991fda5334f63dfb9b8027849 /SRC/dlaic1.f
parent5fe0466a14e395641f4f8a300ecc9dcb8058081b (diff)
Integrating Doxygen in comments
Diffstat (limited to 'SRC/dlaic1.f')
-rw-r--r--SRC/dlaic1.f188
1 files changed, 127 insertions, 61 deletions
diff --git a/SRC/dlaic1.f b/SRC/dlaic1.f
index 6dd1aebd..496f6f0b 100644
--- a/SRC/dlaic1.f
+++ b/SRC/dlaic1.f
@@ -1,77 +1,143 @@
- SUBROUTINE DLAIC1( JOB, J, X, SEST, W, GAMMA, SESTPR, S, C )
-*
-* -- LAPACK auxiliary routine (version 3.3.1) --
-* -- LAPACK is a software package provided by Univ. of Tennessee, --
-* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* -- April 2011 --
-*
-* .. Scalar Arguments ..
- INTEGER J, JOB
- DOUBLE PRECISION C, GAMMA, S, SEST, SESTPR
-* ..
-* .. Array Arguments ..
- DOUBLE PRECISION W( J ), X( J )
-* ..
-*
+*> \brief \b DLAIC1
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+* Definition
+* ==========
+*
+* SUBROUTINE DLAIC1( JOB, J, X, SEST, W, GAMMA, SESTPR, S, C )
+*
+* .. Scalar Arguments ..
+* INTEGER J, JOB
+* DOUBLE PRECISION C, GAMMA, S, SEST, SESTPR
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION W( J ), X( J )
+* ..
+*
* Purpose
* =======
*
-* DLAIC1 applies one step of incremental condition estimation in
-* its simplest version:
-*
-* Let x, twonorm(x) = 1, be an approximate singular vector of an j-by-j
-* lower triangular matrix L, such that
-* twonorm(L*x) = sest
-* Then DLAIC1 computes sestpr, s, c such that
-* the vector
-* [ s*x ]
-* xhat = [ c ]
-* is an approximate singular vector of
-* [ L 0 ]
-* Lhat = [ w**T gamma ]
-* in the sense that
-* twonorm(Lhat*xhat) = sestpr.
-*
-* Depending on JOB, an estimate for the largest or smallest singular
-* value is computed.
-*
-* Note that [s c]**T and sestpr**2 is an eigenpair of the system
-*
-* diag(sest*sest, 0) + [alpha gamma] * [ alpha ]
-* [ gamma ]
-*
-* where alpha = x**T*w.
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> DLAIC1 applies one step of incremental condition estimation in
+*> its simplest version:
+*>
+*> Let x, twonorm(x) = 1, be an approximate singular vector of an j-by-j
+*> lower triangular matrix L, such that
+*> twonorm(L*x) = sest
+*> Then DLAIC1 computes sestpr, s, c such that
+*> the vector
+*> [ s*x ]
+*> xhat = [ c ]
+*> is an approximate singular vector of
+*> [ L 0 ]
+*> Lhat = [ w**T gamma ]
+*> in the sense that
+*> twonorm(Lhat*xhat) = sestpr.
+*>
+*> Depending on JOB, an estimate for the largest or smallest singular
+*> value is computed.
+*>
+*> Note that [s c]**T and sestpr**2 is an eigenpair of the system
+*>
+*> diag(sest*sest, 0) + [alpha gamma] * [ alpha ]
+*> [ gamma ]
+*>
+*> where alpha = x**T*w.
+*>
+*>\endverbatim
*
* Arguments
* =========
*
-* JOB (input) INTEGER
-* = 1: an estimate for the largest singular value is computed.
-* = 2: an estimate for the smallest singular value is computed.
-*
-* J (input) INTEGER
-* Length of X and W
-*
-* X (input) DOUBLE PRECISION array, dimension (J)
-* The j-vector x.
+*> \param[in] JOB
+*> \verbatim
+*> JOB is INTEGER
+*> = 1: an estimate for the largest singular value is computed.
+*> = 2: an estimate for the smallest singular value is computed.
+*> \endverbatim
+*>
+*> \param[in] J
+*> \verbatim
+*> J is INTEGER
+*> Length of X and W
+*> \endverbatim
+*>
+*> \param[in] X
+*> \verbatim
+*> X is DOUBLE PRECISION array, dimension (J)
+*> The j-vector x.
+*> \endverbatim
+*>
+*> \param[in] SEST
+*> \verbatim
+*> SEST is DOUBLE PRECISION
+*> Estimated singular value of j by j matrix L
+*> \endverbatim
+*>
+*> \param[in] W
+*> \verbatim
+*> W is DOUBLE PRECISION array, dimension (J)
+*> The j-vector w.
+*> \endverbatim
+*>
+*> \param[in] GAMMA
+*> \verbatim
+*> GAMMA is DOUBLE PRECISION
+*> The diagonal element gamma.
+*> \endverbatim
+*>
+*> \param[out] SESTPR
+*> \verbatim
+*> SESTPR is DOUBLE PRECISION
+*> Estimated singular value of (j+1) by (j+1) matrix Lhat.
+*> \endverbatim
+*>
+*> \param[out] S
+*> \verbatim
+*> S is DOUBLE PRECISION
+*> Sine needed in forming xhat.
+*> \endverbatim
+*>
+*> \param[out] C
+*> \verbatim
+*> C is DOUBLE PRECISION
+*> Cosine needed in forming xhat.
+*> \endverbatim
+*>
+*
+* Authors
+* =======
*
-* SEST (input) DOUBLE PRECISION
-* Estimated singular value of j by j matrix L
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-* W (input) DOUBLE PRECISION array, dimension (J)
-* The j-vector w.
+*> \date November 2011
*
-* GAMMA (input) DOUBLE PRECISION
-* The diagonal element gamma.
+*> \ingroup doubleOTHERauxiliary
*
-* SESTPR (output) DOUBLE PRECISION
-* Estimated singular value of (j+1) by (j+1) matrix Lhat.
+* =====================================================================
+ SUBROUTINE DLAIC1( JOB, J, X, SEST, W, GAMMA, SESTPR, S, C )
*
-* S (output) DOUBLE PRECISION
-* Sine needed in forming xhat.
+* -- LAPACK auxiliary routine (version 3.3.1) --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* November 2011
*
-* C (output) DOUBLE PRECISION
-* Cosine needed in forming xhat.
+* .. Scalar Arguments ..
+ INTEGER J, JOB
+ DOUBLE PRECISION C, GAMMA, S, SEST, SESTPR
+* ..
+* .. Array Arguments ..
+ DOUBLE PRECISION W( J ), X( J )
+* ..
*
* =====================================================================
*