version 1.6, 2010/08/13 21:04:10
|
version 1.13, 2014/01/27 09:28:39
|
Line 1
|
Line 1
|
|
*> \brief \b ZLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ. |
|
* |
|
* =========== DOCUMENTATION =========== |
|
* |
|
* Online html documentation available at |
|
* http://www.netlib.org/lapack/explore-html/ |
|
* |
|
*> \htmlonly |
|
*> Download ZLAQSP + dependencies |
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlaqsp.f"> |
|
*> [TGZ]</a> |
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlaqsp.f"> |
|
*> [ZIP]</a> |
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlaqsp.f"> |
|
*> [TXT]</a> |
|
*> \endhtmlonly |
|
* |
|
* Definition: |
|
* =========== |
|
* |
|
* SUBROUTINE ZLAQSP( UPLO, N, AP, S, SCOND, AMAX, EQUED ) |
|
* |
|
* .. Scalar Arguments .. |
|
* CHARACTER EQUED, UPLO |
|
* INTEGER N |
|
* DOUBLE PRECISION AMAX, SCOND |
|
* .. |
|
* .. Array Arguments .. |
|
* DOUBLE PRECISION S( * ) |
|
* COMPLEX*16 AP( * ) |
|
* .. |
|
* |
|
* |
|
*> \par Purpose: |
|
* ============= |
|
*> |
|
*> \verbatim |
|
*> |
|
*> ZLAQSP equilibrates a symmetric 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,out] AP |
|
*> \verbatim |
|
*> AP is COMPLEX*16 array, dimension (N*(N+1)/2) |
|
*> On entry, the upper or lower triangle of the symmetric matrix |
|
*> A, packed columnwise in a linear array. The j-th column of A |
|
*> is stored in the array AP as follows: |
|
*> if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; |
|
*> if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n. |
|
*> |
|
*> On exit, the equilibrated matrix: diag(S) * A * diag(S), in |
|
*> the same storage format as A. |
|
*> \endverbatim |
|
*> |
|
*> \param[in] 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 ZLAQSP( UPLO, N, AP, S, SCOND, AMAX, EQUED ) |
SUBROUTINE ZLAQSP( UPLO, N, AP, 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, -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* November 2006 |
* September 2012 |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER EQUED, UPLO |
CHARACTER EQUED, UPLO |
Line 15
|
Line 141
|
COMPLEX*16 AP( * ) |
COMPLEX*16 AP( * ) |
* .. |
* .. |
* |
* |
* Purpose |
|
* ======= |
|
* |
|
* ZLAQSP equilibrates a symmetric 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. |
|
* |
|
* AP (input/output) COMPLEX*16 array, dimension (N*(N+1)/2) |
|
* On entry, the upper or lower triangle of the symmetric matrix |
|
* A, packed columnwise in a linear array. The j-th column of A |
|
* is stored in the array AP as follows: |
|
* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; |
|
* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n. |
|
* |
|
* On exit, the equilibrated matrix: diag(S) * A * diag(S), in |
|
* the same storage format as A. |
|
* |
|
* S (input) 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 .. |
* .. Parameters .. |