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// ***********************************************************************
//
// Thyra: Interfaces and Support for Abstract Numerical Algorithms
// Copyright (2004) Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
//
// This library is free software; you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; either version 2.1 of the
// License, or (at your option) any later version.
//
// This library is distributed in the hope that it will be useful, but
// WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
// Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
// USA
// Questions? Contact Michael A. Heroux (maherou@sandia.gov)
//
// ***********************************************************************
// @HEADER
#ifndef THYRA_SILLY_MODIFIED_GRAM_SHMIDT_HPP
#define THYRA_SILLY_MODIFIED_GRAM_SHMIDT_HPP
#include "Thyra_MultiVectorBase.hpp"
#include "Thyra_MultiVectorStdOps.hpp"
#include "Thyra_VectorStdOps.hpp"
#include "Thyra_DetachedMultiVectorView.hpp"
/** \brief Silly little implementation of the modified Gram-Schmidt algorithm
* to compute a QR factorization V=Q*R of a multi-vector V.
*
* \param V [in/out] On input, contains the columns to compute the factorization
* for. On output, contains the columns of Q.
* \param R [out] On output, contains the upper triangular matrix R.
*
* ToDo: Finish documentation!
*
* \ingroup Thyra_Op_Vec_examples_cg_grp
*/
template<class Scalar>
void sillyModifiedGramSchmidt(
Thyra::MultiVectorBase<Scalar> *V_inout
,Teuchos::RCP<Thyra::MultiVectorBase<Scalar> > *R_out
)
{
typedef Teuchos::ScalarTraits<Scalar> ST;
TEST_FOR_EXCEPT(V_inout==NULL);
Thyra::MultiVectorBase<Scalar> &V = *V_inout;
const int n = V.domain()->dim();
*R_out = Thyra::createMembers(V.domain(),n);
//Thyra::assign(&*(*R_out),ST::zero());
Thyra::DetachedMultiVectorView<Scalar> R(*(*R_out));
for( int k = 0; k < n; ++k ) {
R(k,k) = Thyra::norm(*V.col(k));
Thyra::scale(Scalar(ST::one()/R(k,k)),&*V.col(k));
for( int j = k+1; j < n; ++j ) {
R(k,j) = Thyra::scalarProd(*V.col(k),*V.col(j));
Thyra::update( Scalar(-R(k,j)), *V.col(k), &*V.col(j) );
}
}
} // end sillyModifiedGramSchmidt
#endif // THYRA_SILLY_MODIFIED_GRAM_SHMIDT_HPP
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