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sillyModifiedGramSchmidt.hpp
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00001 // @HEADER
00002 // ***********************************************************************
00003 // 
00004 //    Thyra: Interfaces and Support for Abstract Numerical Algorithms
00005 //                 Copyright (2004) Sandia Corporation
00006 // 
00007 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
00008 // license for use of this work by or on behalf of the U.S. Government.
00009 // 
00010 // This library is free software; you can redistribute it and/or modify
00011 // it under the terms of the GNU Lesser General Public License as
00012 // published by the Free Software Foundation; either version 2.1 of the
00013 // License, or (at your option) any later version.
00014 //  
00015 // This library is distributed in the hope that it will be useful, but
00016 // WITHOUT ANY WARRANTY; without even the implied warranty of
00017 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00018 // Lesser General Public License for more details.
00019 //  
00020 // You should have received a copy of the GNU Lesser General Public
00021 // License along with this library; if not, write to the Free Software
00022 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
00023 // USA
00024 // Questions? Contact Michael A. Heroux (maherou@sandia.gov) 
00025 // 
00026 // ***********************************************************************
00027 // @HEADER
00028 
00029 #ifndef THYRA_SILLY_MODIFIED_GRAM_SHMIDT_HPP
00030 #define THYRA_SILLY_MODIFIED_GRAM_SHMIDT_HPP
00031 
00032 #include "Thyra_MultiVectorBase.hpp"
00033 #include "Thyra_MultiVectorStdOps.hpp"
00034 #include "Thyra_VectorStdOps.hpp"
00035 #include "Thyra_DetachedMultiVectorView.hpp"
00036 
00048 template<class Scalar>
00049 void sillyModifiedGramSchmidt(
00050   Thyra::MultiVectorBase<Scalar> *V_inout
00051   ,Teuchos::RCP<Thyra::MultiVectorBase<Scalar> > *R_out
00052   )
00053 {
00054   typedef Teuchos::ScalarTraits<Scalar> ST;
00055   TEST_FOR_EXCEPT(V_inout==NULL);
00056   Thyra::MultiVectorBase<Scalar> &V = *V_inout;
00057   const int n = V.domain()->dim();
00058   *R_out = Thyra::createMembers(V.domain(),n);
00059   //Thyra::assign(&*(*R_out),ST::zero());
00060   Thyra::DetachedMultiVectorView<Scalar> R(*(*R_out));
00061   for( int k = 0; k < n; ++k ) {
00062     R(k,k) = Thyra::norm(*V.col(k));
00063     Thyra::scale(Scalar(ST::one()/R(k,k)),&*V.col(k));
00064     for( int j = k+1; j < n; ++j ) {
00065       R(k,j) = Thyra::scalarProd(*V.col(k),*V.col(j));
00066       Thyra::update( Scalar(-R(k,j)), *V.col(k), &*V.col(j) );
00067     }
00068   }
00069 
00070 } // end sillyModifiedGramSchmidt
00071 
00072 #endif // THYRA_SILLY_MODIFIED_GRAM_SHMIDT_HPP
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