--- rpl/lapack/lapack/zgeequ.f 2010/12/21 13:53:43 1.7
+++ rpl/lapack/lapack/zgeequ.f 2011/11/21 20:43:08 1.8
@@ -1,10 +1,149 @@
+*> \brief \b ZGEEQU
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZGEEQU + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE ZGEEQU( M, N, A, LDA, R, C, ROWCND, COLCND, AMAX,
+* INFO )
+*
+* .. Scalar Arguments ..
+* INTEGER INFO, LDA, M, N
+* DOUBLE PRECISION AMAX, COLCND, ROWCND
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION C( * ), R( * )
+* COMPLEX*16 A( LDA, * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> ZGEEQU computes row and column scalings intended to equilibrate an
+*> M-by-N matrix A and reduce its condition number. R returns the row
+*> scale factors and C the column scale factors, chosen to try to make
+*> the largest element in each row and column of the matrix B with
+*> elements B(i,j)=R(i)*A(i,j)*C(j) have absolute value 1.
+*>
+*> R(i) and C(j) are restricted to be between SMLNUM = smallest safe
+*> number and BIGNUM = largest safe number. Use of these scaling
+*> factors is not guaranteed to reduce the condition number of A but
+*> works well in practice.
+*> \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] A
+*> \verbatim
+*> A is COMPLEX*16 array, dimension (LDA,N)
+*> The M-by-N matrix whose equilibration factors are
+*> to be computed.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the array A. LDA >= max(1,M).
+*> \endverbatim
+*>
+*> \param[out] R
+*> \verbatim
+*> R is DOUBLE PRECISION array, dimension (M)
+*> If INFO = 0 or INFO > M, R contains the row scale factors
+*> for A.
+*> \endverbatim
+*>
+*> \param[out] C
+*> \verbatim
+*> C is DOUBLE PRECISION array, dimension (N)
+*> If INFO = 0, C contains the column scale factors for A.
+*> \endverbatim
+*>
+*> \param[out] ROWCND
+*> \verbatim
+*> ROWCND is DOUBLE PRECISION
+*> If INFO = 0 or INFO > M, ROWCND contains the ratio of the
+*> smallest R(i) to the largest R(i). If ROWCND >= 0.1 and
+*> AMAX is neither too large nor too small, it is not worth
+*> scaling by R.
+*> \endverbatim
+*>
+*> \param[out] COLCND
+*> \verbatim
+*> COLCND is DOUBLE PRECISION
+*> If INFO = 0, COLCND contains the ratio of the smallest
+*> C(i) to the largest C(i). If COLCND >= 0.1, it is not
+*> worth scaling by C.
+*> \endverbatim
+*>
+*> \param[out] AMAX
+*> \verbatim
+*> AMAX is DOUBLE PRECISION
+*> Absolute value of largest matrix element. If AMAX is very
+*> close to overflow or very close to underflow, the matrix
+*> should be scaled.
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit
+*> < 0: if INFO = -i, the i-th argument had an illegal value
+*> > 0: if INFO = i, and i is
+*> <= M: the i-th row of A is exactly zero
+*> > M: the (i-M)-th column of A is exactly zero
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup complex16GEcomputational
+*
+* =====================================================================
SUBROUTINE ZGEEQU( M, N, A, LDA, R, C, ROWCND, COLCND, AMAX,
$ INFO )
*
-* -- LAPACK routine (version 3.2) --
+* -- LAPACK computational routine (version 3.4.0) --
* -- 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 ..
INTEGER INFO, LDA, M, N
@@ -15,66 +154,6 @@
COMPLEX*16 A( LDA, * )
* ..
*
-* Purpose
-* =======
-*
-* ZGEEQU computes row and column scalings intended to equilibrate an
-* M-by-N matrix A and reduce its condition number. R returns the row
-* scale factors and C the column scale factors, chosen to try to make
-* the largest element in each row and column of the matrix B with
-* elements B(i,j)=R(i)*A(i,j)*C(j) have absolute value 1.
-*
-* R(i) and C(j) are restricted to be between SMLNUM = smallest safe
-* number and BIGNUM = largest safe number. Use of these scaling
-* factors is not guaranteed to reduce the condition number of A but
-* works well in practice.
-*
-* 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.
-*
-* A (input) COMPLEX*16 array, dimension (LDA,N)
-* The M-by-N matrix whose equilibration factors are
-* to be computed.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,M).
-*
-* R (output) DOUBLE PRECISION array, dimension (M)
-* If INFO = 0 or INFO > M, R contains the row scale factors
-* for A.
-*
-* C (output) DOUBLE PRECISION array, dimension (N)
-* If INFO = 0, C contains the column scale factors for A.
-*
-* ROWCND (output) DOUBLE PRECISION
-* If INFO = 0 or INFO > M, ROWCND contains the ratio of the
-* smallest R(i) to the largest R(i). If ROWCND >= 0.1 and
-* AMAX is neither too large nor too small, it is not worth
-* scaling by R.
-*
-* COLCND (output) DOUBLE PRECISION
-* If INFO = 0, COLCND contains the ratio of the smallest
-* C(i) to the largest C(i). If COLCND >= 0.1, it is not
-* worth scaling by C.
-*
-* AMAX (output) DOUBLE PRECISION
-* Absolute value of largest matrix element. If AMAX is very
-* close to overflow or very close to underflow, the matrix
-* should be scaled.
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-* > 0: if INFO = i, and i is
-* <= M: the i-th row of A is exactly zero
-* > M: the (i-M)-th column of A is exactly zero
-*
* =====================================================================
*
* .. Parameters ..