Ignore:
Timestamp:
Dec 4, 2010, 11:56:28 PM (15 years ago)
Author:
Frederik Heber <heber@…>
Branches:
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Children:
9f9b5a
Parents:
586055
git-author:
Frederik Heber <heber@…> (11/22/10 16:23:18)
git-committer:
Frederik Heber <heber@…> (12/04/10 23:56:28)
Message:

SubspaceFactorizerUnittest::SubspaceTest() enhanced.

  • Now projection matrices and therefrom eigenspace matrices are constructed correctly.
File:
1 edited

Legend:

Unmodified
Added
Removed
  • src/LinearAlgebra/Subspace.cpp

    r586055 ra06042  
    3737Subspace::Subspace(indexset & _s, Eigenspace &_FullSpace) :
    3838  Eigenspace(_s),
    39   ProjectToSubspace(_s.size(), _FullSpace.getIndices().size()),
    40   ProjectFromSubspace(_FullSpace.getIndices().size(), _s.size()),
     39  ProjectToSubspace(_FullSpace.getIndices().size(), _s.size()),
     40  ProjectFromSubspace(_s.size(), _FullSpace.getIndices().size()),
    4141  FullSpace(_FullSpace)
    42 {}
     42{
     43  // create projection matrices
     44  createProjectionMatrices();
     45
     46  // create eigenspace matrices
     47  projectFullSpaceMatrixToSubspace();
     48}
    4349
    4450
     
    212218}
    213219
     220
     221/** Creates the projection matrix from Subspace::FullSpace::EigenvectorMatrix.
     222 * We simply copy the respective eigenvectors from Subspace::FullSpace into
     223 * Subspace::Eigenvectors.
     224 */
     225void Subspace::createProjectionMatrices()
     226{
     227  // first ProjectToSubspace
     228
     229  // generate column vectors
     230  std::vector< boost::shared_ptr<VectorContent> > ColumnVectors;
     231  for (size_t i = 0; i < Indices.size(); ++i) {
     232    boost::shared_ptr<VectorContent> p(ProjectToSubspace.getColumnVector(i));
     233    ColumnVectors.push_back( p );
     234  }
     235
     236  // then copy from real eigenvectors
     237  size_t localindex = 0;
     238  BOOST_FOREACH(size_t iter, Indices) {
     239    *ColumnVectors[localindex] = FullSpace.getEigenvector(iter);
     240    localindex++;
     241  }
     242  Log() << Verbose(2) << "ProjectionToSubspace matrix is " << ProjectToSubspace << std::endl;
     243
     244  // then ProjectFromSubspace is just transposed
     245  ProjectFromSubspace = ((const MatrixContent)ProjectToSubspace).transpose();
     246  Log() << Verbose(2) << "ProjectFromSubspace matrix is " << ProjectFromSubspace << std::endl;
     247}
     248
     249
     250/** Creates the subspace matrix by projecting down the FullSpace::EigenspaceMatrix.
     251 *  We just perform \f$M = P^t \cdot A \cdot P\f$, when P are the projection matrix,
     252 *  A the full matrix and M the subspace matrix.
     253 */
     254void Subspace::projectFullSpaceMatrixToSubspace()
     255{
     256  // construct small matrix
     257  EigenspaceMatrix = ProjectFromSubspace * FullSpace.getEigenspaceMatrix() * ProjectToSubspace;
     258  Log() << Verbose(2) << "EigenspaceMatrix matrix is " << EigenspaceMatrix << std::endl;
     259}
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