Refs #247. Included lapack source codes. Avoid downloading tar.gz from netlib.org
Based on 3.4.2 version, apply patch.for_lapack-3.4.2.
This commit is contained in:
Zhang Xianyi
203
lapack-netlib/SRC/cpptrs.f
Normal file
203
lapack-netlib/SRC/cpptrs.f
Normal file
@@ -0,0 +1,203 @@
|
||||
*> \brief \b CPPTRS
|
||||
*
|
||||
* =========== DOCUMENTATION ===========
|
||||
*
|
||||
* Online html documentation available at
|
||||
* http://www.netlib.org/lapack/explore-html/
|
||||
*
|
||||
*> \htmlonly
|
||||
*> Download CPPTRS + dependencies
|
||||
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/cpptrs.f">
|
||||
*> [TGZ]</a>
|
||||
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/cpptrs.f">
|
||||
*> [ZIP]</a>
|
||||
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/cpptrs.f">
|
||||
*> [TXT]</a>
|
||||
*> \endhtmlonly
|
||||
*
|
||||
* Definition:
|
||||
* ===========
|
||||
*
|
||||
* SUBROUTINE CPPTRS( UPLO, N, NRHS, AP, B, LDB, INFO )
|
||||
*
|
||||
* .. Scalar Arguments ..
|
||||
* CHARACTER UPLO
|
||||
* INTEGER INFO, LDB, N, NRHS
|
||||
* ..
|
||||
* .. Array Arguments ..
|
||||
* COMPLEX AP( * ), B( LDB, * )
|
||||
* ..
|
||||
*
|
||||
*
|
||||
*> \par Purpose:
|
||||
* =============
|
||||
*>
|
||||
*> \verbatim
|
||||
*>
|
||||
*> CPPTRS solves a system of linear equations A*X = B with a Hermitian
|
||||
*> positive definite matrix A in packed storage using the Cholesky
|
||||
*> factorization A = U**H*U or A = L*L**H computed by CPPTRF.
|
||||
*> \endverbatim
|
||||
*
|
||||
* Arguments:
|
||||
* ==========
|
||||
*
|
||||
*> \param[in] UPLO
|
||||
*> \verbatim
|
||||
*> UPLO is CHARACTER*1
|
||||
*> = 'U': Upper triangle of A is stored;
|
||||
*> = 'L': Lower triangle of A is stored.
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[in] N
|
||||
*> \verbatim
|
||||
*> N is INTEGER
|
||||
*> The order of the matrix A. N >= 0.
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[in] NRHS
|
||||
*> \verbatim
|
||||
*> NRHS is INTEGER
|
||||
*> The number of right hand sides, i.e., the number of columns
|
||||
*> of the matrix B. NRHS >= 0.
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[in] AP
|
||||
*> \verbatim
|
||||
*> AP is COMPLEX array, dimension (N*(N+1)/2)
|
||||
*> The triangular factor U or L from the Cholesky factorization
|
||||
*> A = U**H*U or A = L*L**H, packed columnwise in a linear
|
||||
*> array. The j-th column of U or L is stored in the array AP
|
||||
*> as follows:
|
||||
*> if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
|
||||
*> if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[in,out] B
|
||||
*> \verbatim
|
||||
*> B is COMPLEX array, dimension (LDB,NRHS)
|
||||
*> On entry, the right hand side matrix B.
|
||||
*> On exit, the solution matrix X.
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[in] LDB
|
||||
*> \verbatim
|
||||
*> LDB is INTEGER
|
||||
*> The leading dimension of the array B. LDB >= max(1,N).
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[out] INFO
|
||||
*> \verbatim
|
||||
*> INFO is INTEGER
|
||||
*> = 0: successful exit
|
||||
*> < 0: if INFO = -i, the i-th argument had an illegal value
|
||||
*> \endverbatim
|
||||
*
|
||||
* Authors:
|
||||
* ========
|
||||
*
|
||||
*> \author Univ. of Tennessee
|
||||
*> \author Univ. of California Berkeley
|
||||
*> \author Univ. of Colorado Denver
|
||||
*> \author NAG Ltd.
|
||||
*
|
||||
*> \date November 2011
|
||||
*
|
||||
*> \ingroup complexOTHERcomputational
|
||||
*
|
||||
* =====================================================================
|
||||
SUBROUTINE CPPTRS( UPLO, N, NRHS, AP, B, LDB, INFO )
|
||||
*
|
||||
* -- 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 2011
|
||||
*
|
||||
* .. Scalar Arguments ..
|
||||
CHARACTER UPLO
|
||||
INTEGER INFO, LDB, N, NRHS
|
||||
* ..
|
||||
* .. Array Arguments ..
|
||||
COMPLEX AP( * ), B( LDB, * )
|
||||
* ..
|
||||
*
|
||||
* =====================================================================
|
||||
*
|
||||
* .. Local Scalars ..
|
||||
LOGICAL UPPER
|
||||
INTEGER I
|
||||
* ..
|
||||
* .. External Functions ..
|
||||
LOGICAL LSAME
|
||||
EXTERNAL LSAME
|
||||
* ..
|
||||
* .. External Subroutines ..
|
||||
EXTERNAL CTPSV, XERBLA
|
||||
* ..
|
||||
* .. Intrinsic Functions ..
|
||||
INTRINSIC MAX
|
||||
* ..
|
||||
* .. Executable Statements ..
|
||||
*
|
||||
* Test the input parameters.
|
||||
*
|
||||
INFO = 0
|
||||
UPPER = LSAME( UPLO, 'U' )
|
||||
IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
|
||||
INFO = -1
|
||||
ELSE IF( N.LT.0 ) THEN
|
||||
INFO = -2
|
||||
ELSE IF( NRHS.LT.0 ) THEN
|
||||
INFO = -3
|
||||
ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
|
||||
INFO = -6
|
||||
END IF
|
||||
IF( INFO.NE.0 ) THEN
|
||||
CALL XERBLA( 'CPPTRS', -INFO )
|
||||
RETURN
|
||||
END IF
|
||||
*
|
||||
* Quick return if possible
|
||||
*
|
||||
IF( N.EQ.0 .OR. NRHS.EQ.0 )
|
||||
$ RETURN
|
||||
*
|
||||
IF( UPPER ) THEN
|
||||
*
|
||||
* Solve A*X = B where A = U**H * U.
|
||||
*
|
||||
DO 10 I = 1, NRHS
|
||||
*
|
||||
* Solve U**H *X = B, overwriting B with X.
|
||||
*
|
||||
CALL CTPSV( 'Upper', 'Conjugate transpose', 'Non-unit', N,
|
||||
$ AP, B( 1, I ), 1 )
|
||||
*
|
||||
* Solve U*X = B, overwriting B with X.
|
||||
*
|
||||
CALL CTPSV( 'Upper', 'No transpose', 'Non-unit', N, AP,
|
||||
$ B( 1, I ), 1 )
|
||||
10 CONTINUE
|
||||
ELSE
|
||||
*
|
||||
* Solve A*X = B where A = L * L**H.
|
||||
*
|
||||
DO 20 I = 1, NRHS
|
||||
*
|
||||
* Solve L*Y = B, overwriting B with X.
|
||||
*
|
||||
CALL CTPSV( 'Lower', 'No transpose', 'Non-unit', N, AP,
|
||||
$ B( 1, I ), 1 )
|
||||
*
|
||||
* Solve L**H *X = Y, overwriting B with X.
|
||||
*
|
||||
CALL CTPSV( 'Lower', 'Conjugate transpose', 'Non-unit', N,
|
||||
$ AP, B( 1, I ), 1 )
|
||||
20 CONTINUE
|
||||
END IF
|
||||
*
|
||||
RETURN
|
||||
*
|
||||
* End of CPPTRS
|
||||
*
|
||||
END
|
||||
Reference in New Issue
Block a user