--- rpl/lapack/lapack/zlaqhb.f 2010/01/26 15:22:46 1.1
+++ rpl/lapack/lapack/zlaqhb.f 2014/01/27 09:28:38 1.14
@@ -1,9 +1,150 @@
+*> \brief \b ZLAQHB scales a Hermitian band matrix, using scaling factors computed by cpbequ.
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZLAQHB + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE ZLAQHB( UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED )
+*
+* .. Scalar Arguments ..
+* CHARACTER EQUED, UPLO
+* INTEGER KD, LDAB, N
+* DOUBLE PRECISION AMAX, SCOND
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION S( * )
+* COMPLEX*16 AB( LDAB, * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> ZLAQHB equilibrates a Hermitian band matrix A
+*> using the scaling factors in the vector S.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> Specifies whether the upper or lower triangular part of the
+*> symmetric matrix A is stored.
+*> = 'U': Upper triangular
+*> = 'L': Lower triangular
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] KD
+*> \verbatim
+*> KD is INTEGER
+*> The number of super-diagonals of the matrix A if UPLO = 'U',
+*> or the number of sub-diagonals if UPLO = 'L'. KD >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] AB
+*> \verbatim
+*> AB is COMPLEX*16 array, dimension (LDAB,N)
+*> On entry, the upper or lower triangle of the symmetric band
+*> matrix A, stored in the first KD+1 rows of the array. The
+*> j-th column of A is stored in the j-th column of the array AB
+*> as follows:
+*> if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j;
+*> if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd).
+*>
+*> On exit, if INFO = 0, the triangular factor U or L from the
+*> Cholesky factorization A = U**H *U or A = L*L**H of the band
+*> matrix A, in the same storage format as A.
+*> \endverbatim
+*>
+*> \param[in] LDAB
+*> \verbatim
+*> LDAB is INTEGER
+*> The leading dimension of the array AB. LDAB >= KD+1.
+*> \endverbatim
+*>
+*> \param[out] S
+*> \verbatim
+*> S is DOUBLE PRECISION array, dimension (N)
+*> The scale factors for A.
+*> \endverbatim
+*>
+*> \param[in] SCOND
+*> \verbatim
+*> SCOND is DOUBLE PRECISION
+*> Ratio of the smallest S(i) to the largest S(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 whether or not equilibration was done.
+*> = 'N': No equilibration.
+*> = 'Y': Equilibration was done, i.e., A has been replaced by
+*> diag(S) * A * diag(S).
+*> \endverbatim
+*
+*> \par Internal Parameters:
+* =========================
+*>
+*> \verbatim
+*> THRESH is a threshold value used to decide if scaling should be done
+*> based on the ratio of the scaling factors. If SCOND < THRESH,
+*> scaling is done.
+*>
+*> LARGE and SMALL are threshold values used to decide if scaling should
+*> be done based on the absolute size of the largest matrix element.
+*> If AMAX > LARGE or AMAX < SMALL, scaling is done.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date September 2012
+*
+*> \ingroup complex16OTHERauxiliary
+*
+* =====================================================================
SUBROUTINE ZLAQHB( UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED )
*
-* -- 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 ..
CHARACTER EQUED, UPLO
@@ -15,69 +156,6 @@
COMPLEX*16 AB( LDAB, * )
* ..
*
-* Purpose
-* =======
-*
-* ZLAQHB equilibrates a symmetric band matrix A using the scaling
-* factors in the vector S.
-*
-* Arguments
-* =========
-*
-* UPLO (input) CHARACTER*1
-* Specifies whether the upper or lower triangular part of the
-* symmetric matrix A is stored.
-* = 'U': Upper triangular
-* = 'L': Lower triangular
-*
-* N (input) INTEGER
-* The order of the matrix A. N >= 0.
-*
-* KD (input) INTEGER
-* The number of super-diagonals of the matrix A if UPLO = 'U',
-* or the number of sub-diagonals if UPLO = 'L'. KD >= 0.
-*
-* AB (input/output) COMPLEX*16 array, dimension (LDAB,N)
-* On entry, the upper or lower triangle of the symmetric band
-* matrix A, stored in the first KD+1 rows of the array. The
-* j-th column of A is stored in the j-th column of the array AB
-* as follows:
-* if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j;
-* if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd).
-*
-* On exit, if INFO = 0, the triangular factor U or L from the
-* Cholesky factorization A = U'*U or A = L*L' of the band
-* matrix A, in the same storage format as A.
-*
-* LDAB (input) INTEGER
-* The leading dimension of the array AB. LDAB >= KD+1.
-*
-* S (output) DOUBLE PRECISION array, dimension (N)
-* The scale factors for A.
-*
-* SCOND (input) DOUBLE PRECISION
-* Ratio of the smallest S(i) to the largest S(i).
-*
-* AMAX (input) DOUBLE PRECISION
-* Absolute value of largest matrix entry.
-*
-* EQUED (output) CHARACTER*1
-* Specifies whether or not equilibration was done.
-* = 'N': No equilibration.
-* = 'Y': Equilibration was done, i.e., A has been replaced by
-* diag(S) * A * diag(S).
-*
-* Internal Parameters
-* ===================
-*
-* THRESH is a threshold value used to decide if scaling should be done
-* based on the ratio of the scaling factors. If SCOND < THRESH,
-* scaling is done.
-*
-* LARGE and SMALL are threshold values used to decide if scaling should
-* be done based on the absolute size of the largest matrix element.
-* If AMAX > LARGE or AMAX < SMALL, scaling is done.
-*
* =====================================================================
*
* .. Parameters ..