removed lapack 3.6.0

2017-01-06 11:44:57 +01:00
parent 8f9975e013
commit 8cd46acebb
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-*> \brief \b DPTT02
-*
-*  =========== DOCUMENTATION ===========
-*
-* Online html documentation available at 
-*            http://www.netlib.org/lapack/explore-html/ 
-*
-*  Definition:
-*  ===========
-*
-*       SUBROUTINE DPTT02( N, NRHS, D, E, X, LDX, B, LDB, RESID )
-* 
-*       .. Scalar Arguments ..
-*       INTEGER            LDB, LDX, N, NRHS
-*       DOUBLE PRECISION   RESID
-*       ..
-*       .. Array Arguments ..
-*       DOUBLE PRECISION   B( LDB, * ), D( * ), E( * ), X( LDX, * )
-*       ..
-*  
-*
-*> \par Purpose:
-*  =============
-*>
-*> \verbatim
-*>
-*> DPTT02 computes the residual for the solution to a symmetric
-*> tridiagonal system of equations:
-*>    RESID = norm(B - A*X) / (norm(A) * norm(X) * EPS),
-*> where EPS is the machine epsilon.
-*> \endverbatim
-*
-*  Arguments:
-*  ==========
-*
-*> \param[in] N
-*> \verbatim
-*>          N is INTEGTER
-*>          The order of the matrix A.
-*> \endverbatim
-*>
-*> \param[in] NRHS
-*> \verbatim
-*>          NRHS is INTEGER
-*>          The number of right hand sides, i.e., the number of columns
-*>          of the matrices B and X.  NRHS >= 0.
-*> \endverbatim
-*>
-*> \param[in] D
-*> \verbatim
-*>          D is DOUBLE PRECISION array, dimension (N)
-*>          The n diagonal elements of the tridiagonal matrix A.
-*> \endverbatim
-*>
-*> \param[in] E
-*> \verbatim
-*>          E is DOUBLE PRECISION array, dimension (N-1)
-*>          The (n-1) subdiagonal elements of the tridiagonal matrix A.
-*> \endverbatim
-*>
-*> \param[in] X
-*> \verbatim
-*>          X is DOUBLE PRECISION array, dimension (LDX,NRHS)
-*>          The n by nrhs matrix of solution vectors X.
-*> \endverbatim
-*>
-*> \param[in] LDX
-*> \verbatim
-*>          LDX is INTEGER
-*>          The leading dimension of the array X.  LDX >= max(1,N).
-*> \endverbatim
-*>
-*> \param[in,out] B
-*> \verbatim
-*>          B is DOUBLE PRECISION array, dimension (LDB,NRHS)
-*>          On entry, the n by nrhs matrix of right hand side vectors B.
-*>          On exit, B is overwritten with the difference B - A*X.
-*> \endverbatim
-*>
-*> \param[in] LDB
-*> \verbatim
-*>          LDB is INTEGER
-*>          The leading dimension of the array B.  LDB >= max(1,N).
-*> \endverbatim
-*>
-*> \param[out] RESID
-*> \verbatim
-*>          RESID is DOUBLE PRECISION
-*>          norm(B - A*X) / (norm(A) * norm(X) * EPS)
-*> \endverbatim
-*
-*  Authors:
-*  ========
-*
-*> \author Univ. of Tennessee 
-*> \author Univ. of California Berkeley 
-*> \author Univ. of Colorado Denver 
-*> \author NAG Ltd. 
-*
-*> \date November 2011
-*
-*> \ingroup double_lin
-*
-*  =====================================================================
-      SUBROUTINE DPTT02( N, NRHS, D, E, X, LDX, B, LDB, RESID )
-*
-*  -- LAPACK test 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 ..
-      INTEGER            LDB, LDX, N, NRHS
-      DOUBLE PRECISION   RESID
-*     ..
-*     .. Array Arguments ..
-      DOUBLE PRECISION   B( LDB, * ), D( * ), E( * ), X( LDX, * )
-*     ..
-*
-*  =====================================================================
-*
-*     .. Parameters ..
-      DOUBLE PRECISION   ONE, ZERO
-      PARAMETER          ( ONE = 1.0D+0, ZERO = 0.0D+0 )
-*     ..
-*     .. Local Scalars ..
-      INTEGER            J
-      DOUBLE PRECISION   ANORM, BNORM, EPS, XNORM
-*     ..
-*     .. External Functions ..
-      DOUBLE PRECISION   DASUM, DLAMCH, DLANST
-      EXTERNAL           DASUM, DLAMCH, DLANST
-*     ..
-*     .. Intrinsic Functions ..
-      INTRINSIC          MAX
-*     ..
-*     .. External Subroutines ..
-      EXTERNAL           DLAPTM
-*     ..
-*     .. Executable Statements ..
-*
-*     Quick return if possible
-*
-      IF( N.LE.0 ) THEN
-         RESID = ZERO
-         RETURN
-      END IF
-*
-*     Compute the 1-norm of the tridiagonal matrix A.
-*
-      ANORM = DLANST( '1', N, D, E )
-*
-*     Exit with RESID = 1/EPS if ANORM = 0.
-*
-      EPS = DLAMCH( 'Epsilon' )
-      IF( ANORM.LE.ZERO ) THEN
-         RESID = ONE / EPS
-         RETURN
-      END IF
-*
-*     Compute B - A*X.
-*
-      CALL DLAPTM( N, NRHS, -ONE, D, E, X, LDX, ONE, B, LDB )
-*
-*     Compute the maximum over the number of right hand sides of
-*        norm(B - A*X) / ( norm(A) * norm(X) * EPS ).
-*
-      RESID = ZERO
-      DO 10 J = 1, NRHS
-         BNORM = DASUM( N, B( 1, J ), 1 )
-         XNORM = DASUM( N, X( 1, J ), 1 )
-         IF( XNORM.LE.ZERO ) THEN
-            RESID = ONE / EPS
-         ELSE
-            RESID = MAX( RESID, ( ( BNORM / ANORM ) / XNORM ) / EPS )
-         END IF
-   10 CONTINUE
-*
-      RETURN
-*
-*     End of DPTT02
-*
-      END