sillyModifiedGramSchmidt.hpp

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00003 // 
00004 //    Thyra: Interfaces and Support for Abstract Numerical Algorithms
00005 //                 Copyright (2004) Sandia Corporation
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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 
00046 template<class Scalar>
00047 void sillyModifiedGramSchmidt(
00048   Thyra::MultiVectorBase<Scalar>                             *V_inout
00049   ,Teuchos::RefCountPtr<Thyra::MultiVectorBase<Scalar> >     *R_out
00050   )
00051 {
00052   typedef Teuchos::ScalarTraits<Scalar> ST;
00053   TEST_FOR_EXCEPT(V_inout==NULL);
00054   Thyra::MultiVectorBase<Scalar> &V = *V_inout;
00055   const int n = V.domain()->dim();
00056   *R_out = Thyra::createMembers(V.domain(),n);
00057   //Thyra::assign(&*(*R_out),ST::zero());
00058   Thyra::DetachedMultiVectorView<Scalar> R(*(*R_out));
00059   for( int k = 0; k < n; ++k ) {
00060     R(k,k) = Thyra::norm(*V.col(k));
00061     Thyra::scale(Scalar(ST::one()/R(k,k)),&*V.col(k));
00062     for( int j = k+1; j < n; ++j ) {
00063       R(k,j) = Thyra::scalarProd(*V.col(k),*V.col(j));
00064       Thyra::update( Scalar(-R(k,j)), *V.col(k), &*V.col(j) );
00065     }
00066   }
00067 
00068 } // end sillyModifiedGramSchmidt
00069 
00070 #endif // THYRA_SILLY_MODIFIED_GRAM_SHMIDT_HPP

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