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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
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+*> \brief \b ZLAQGB
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+* Definition
+* ==========
+*
+* SUBROUTINE ZLAQGB( M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND,
+* AMAX, EQUED )
+*
+* .. Scalar Arguments ..
+* CHARACTER EQUED
+* INTEGER KL, KU, LDAB, M, N
+* DOUBLE PRECISION AMAX, COLCND, ROWCND
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION C( * ), R( * )
+* COMPLEX*16 AB( LDAB, * )
+* ..
+*
+* Purpose
+* =======
+*
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> ZLAQGB equilibrates a general M by N band matrix A with KL
+*> subdiagonals and KU superdiagonals using the row and scaling factors
+*> in the vectors R and C.
+*>
+*>\endverbatim
+*
+* Arguments
+* =========
+*
+*> \param[in] M
+*> \verbatim
+*> M is INTEGER
+*> The number of rows of the matrix A. M >= 0.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of columns of the matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] KL
+*> \verbatim
+*> KL is INTEGER
+*> The number of subdiagonals within the band of A. KL >= 0.
+*> \endverbatim
+*>
+*> \param[in] KU
+*> \verbatim
+*> KU is INTEGER
+*> The number of superdiagonals within the band of A. KU >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] AB
+*> \verbatim
+*> AB is COMPLEX*16 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(m,j+kl)
+*> \endverbatim
+*> \verbatim
+*> On exit, the equilibrated matrix, in the same storage format
+*> as A. See EQUED for the form of the equilibrated matrix.
+*> \endverbatim
+*>
+*> \param[in] LDAB
+*> \verbatim
+*> LDAB is INTEGER
+*> The leading dimension of the array AB. LDA >= KL+KU+1.
+*> \endverbatim
+*>
+*> \param[in] R
+*> \verbatim
+*> R is DOUBLE PRECISION array, dimension (M)
+*> The row scale factors for A.
+*> \endverbatim
+*>
+*> \param[in] C
+*> \verbatim
+*> C is DOUBLE PRECISION array, dimension (N)
+*> The column scale factors for A.
+*> \endverbatim
+*>
+*> \param[in] ROWCND
+*> \verbatim
+*> ROWCND is DOUBLE PRECISION
+*> Ratio of the smallest R(i) to the largest R(i).
+*> \endverbatim
+*>
+*> \param[in] COLCND
+*> \verbatim
+*> COLCND is DOUBLE PRECISION
+*> Ratio of the smallest C(i) to the largest C(i).
+*> \endverbatim
+*>
+*> \param[in] AMAX
+*> \verbatim
+*> AMAX is DOUBLE PRECISION
+*> Absolute value of largest matrix entry.
+*> \endverbatim
+*>
+*> \param[out] EQUED
+*> \verbatim
+*> EQUED is CHARACTER*1
+*> Specifies the form of equilibration that was done.
+*> = 'N': No equilibration
+*> = 'R': Row equilibration, i.e., A has been premultiplied by
+*> diag(R).
+*> = 'C': Column equilibration, i.e., A has been postmultiplied
+*> by diag(C).
+*> = 'B': Both row and column equilibration, i.e., A has been
+*> replaced by diag(R) * A * diag(C).
+*> \endverbatim
+*> \verbatim
+*> Internal Parameters
+*> ===================
+*> \endverbatim
+*> \verbatim
+*> THRESH is a threshold value used to decide if row or column scaling
+*> should be done based on the ratio of the row or column scaling
+*> factors. If ROWCND < THRESH, row scaling is done, and if
+*> COLCND < THRESH, column scaling is done.
+*> \endverbatim
+*> \verbatim
+*> LARGE and SMALL are threshold values used to decide if row scaling
+*> should be done based on the absolute size of the largest matrix
+*> element. If AMAX > LARGE or AMAX < SMALL, row scaling is done.
+*> \endverbatim
+*>
+*
+* Authors
+* =======
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup complex16GBauxiliary
+*
+* =====================================================================
SUBROUTINE ZLAQGB( M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND,
$ AMAX, EQUED )
*
* -- LAPACK auxiliary routine (version 3.2) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
+* November 2011
*
* .. Scalar Arguments ..
CHARACTER EQUED
@@ -16,77 +169,6 @@
COMPLEX*16 AB( LDAB, * )
* ..
*
-* Purpose
-* =======
-*
-* ZLAQGB equilibrates a general M by N band matrix A with KL
-* subdiagonals and KU superdiagonals using the row and scaling factors
-* in the vectors R and C.
-*
-* Arguments
-* =========
-*
-* M (input) INTEGER
-* The number of rows of the matrix A. M >= 0.
-*
-* N (input) INTEGER
-* The number of columns of the matrix A. N >= 0.
-*
-* KL (input) INTEGER
-* The number of subdiagonals within the band of A. KL >= 0.
-*
-* KU (input) INTEGER
-* The number of superdiagonals within the band of A. KU >= 0.
-*
-* AB (input/output) COMPLEX*16 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(m,j+kl)
-*
-* On exit, the equilibrated matrix, in the same storage format
-* as A. See EQUED for the form of the equilibrated matrix.
-*
-* LDAB (input) INTEGER
-* The leading dimension of the array AB. LDA >= KL+KU+1.
-*
-* R (input) DOUBLE PRECISION array, dimension (M)
-* The row scale factors for A.
-*
-* C (input) DOUBLE PRECISION array, dimension (N)
-* The column scale factors for A.
-*
-* ROWCND (input) DOUBLE PRECISION
-* Ratio of the smallest R(i) to the largest R(i).
-*
-* COLCND (input) DOUBLE PRECISION
-* Ratio of the smallest C(i) to the largest C(i).
-*
-* AMAX (input) DOUBLE PRECISION
-* Absolute value of largest matrix entry.
-*
-* EQUED (output) CHARACTER*1
-* Specifies the form of equilibration that was done.
-* = 'N': No equilibration
-* = 'R': Row equilibration, i.e., A has been premultiplied by
-* diag(R).
-* = 'C': Column equilibration, i.e., A has been postmultiplied
-* by diag(C).
-* = 'B': Both row and column equilibration, i.e., A has been
-* replaced by diag(R) * A * diag(C).
-*
-* Internal Parameters
-* ===================
-*
-* THRESH is a threshold value used to decide if row or column scaling
-* should be done based on the ratio of the row or column scaling
-* factors. If ROWCND < THRESH, row scaling is done, and if
-* COLCND < THRESH, column scaling is done.
-*
-* LARGE and SMALL are threshold values used to decide if row scaling
-* should be done based on the absolute size of the largest matrix
-* element. If AMAX > LARGE or AMAX < SMALL, row scaling is done.
-*
* =====================================================================
*
* .. Parameters ..