Iterative Solvers supporting block recursive matrix and vector classes at compile time.
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typedef Dune::BCRSMatrix< FieldMatrix< T, n, m >, A > | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::Matrix |
| The matrix type.
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typedef Dune::ISTL::Impl::BCCSMatrix< T, int > | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::LDLMatrix |
| The corresponding SuperLU Matrix type.
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typedef ISTL::Impl::BCCSMatrixInitializer< BCRSMatrix< FieldMatrix< T, n, m >, A >, int > | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::MatrixInitializer |
| Type of an associated initializer class.
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typedef Dune::BlockVector< FieldVector< T, m >, typename std::allocator_traits< A >::template rebind_alloc< FieldVector< T, m > > > | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::domain_type |
| The type of the domain of the solver.
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typedef Dune::BlockVector< FieldVector< T, n >, typename std::allocator_traits< A >::template rebind_alloc< FieldVector< T, n > > > | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::range_type |
| The type of the range of the solver.
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typedef Dune::BCRSMatrix< FieldMatrix< T, n, m >, A > | Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::Matrix |
| The matrix type.
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typedef ISTL::Impl::BCCSMatrix< T, int > | Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::SPQRMatrix |
| The corresponding SuperLU Matrix type.
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typedef ISTL::Impl::BCCSMatrixInitializer< BCRSMatrix< FieldMatrix< T, n, m >, A >, int > | Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::MatrixInitializer |
| Type of an associated initializer class.
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typedef Dune::BlockVector< FieldVector< T, m >, typename std::allocator_traits< A >::template rebind_alloc< FieldVector< T, m > > > | Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::domain_type |
| The type of the domain of the solver.
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typedef Dune::BlockVector< FieldVector< T, n >, typename std::allocator_traits< A >::template rebind_alloc< FieldVector< T, n > > > | Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::range_type |
| The type of the range of the solver.
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using | Dune::UMFPack< M >::Matrix = M |
| The matrix type.
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using | Dune::UMFPack< M >::UMFPackMatrix = ISTL::Impl::BCCSMatrix< typename Matrix::field_type, size_type > |
| The corresponding UMFPack matrix type.
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using | Dune::UMFPack< M >::MatrixInitializer = ISTL::Impl::BCCSMatrixInitializer< M, size_type > |
| Type of an associated initializer class.
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using | Dune::UMFPack< M >::domain_type = typename Impl::UMFPackVectorChooser< M >::domain_type |
| The type of the domain of the solver.
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using | Dune::UMFPack< M >::range_type = typename Impl::UMFPackVectorChooser< M >::range_type |
| The type of the range of the solver.
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virtual SolverCategory::Category | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::category () const |
| Category of the solver (see SolverCategory::Category)
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| Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::LDL (const Matrix &matrix, int verbose=0) |
| Construct a solver object from a BCRSMatrix. More...
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| Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::LDL (const Matrix &matrix, int verbose, bool) |
| Constructor for compatibility with SuperLU standard constructor. More...
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| Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::LDL (const Matrix &matrix, const ParameterTree &config) |
| Constructs the LDL solver. More...
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| Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::LDL () |
| Default constructor.
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virtual | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::~LDL () |
| Default constructor.
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virtual void | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply (domain_type &x, range_type &b, InverseOperatorResult &res) |
| Apply inverse operator,. More...
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virtual void | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply (domain_type &x, range_type &b, [[maybe_unused]] double reduction, InverseOperatorResult &res) |
| apply inverse operator, with given convergence criteria. More...
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void | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply (T *x, T *b) |
| Additional apply method with c-arrays in analogy to superlu. More...
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void | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setMatrix (const Matrix &matrix) |
| Initialize data from given matrix.
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void | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setVerbosity (int v) |
| Sets the verbosity level for the solver. More...
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LDLMatrix & | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getInternalMatrix () |
| Return the column compress matrix. More...
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void | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::free () |
| Free allocated space. More...
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const char * | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::name () |
| Get method name.
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double * | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getD () |
| Get factorization diagonal matrix D. More...
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int * | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getLp () |
| Get factorization Lp. More...
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int * | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getLi () |
| Get factorization Li. More...
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double * | Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getLx () |
| Get factorization Lx. More...
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virtual SolverCategory::Category | Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::category () const |
| Category of the solver (see SolverCategory::Category)
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| Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::SPQR (const Matrix &matrix, int verbose=0) |
| Construct a solver object from a BCRSMatrix. More...
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| Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::SPQR (const Matrix &matrix, int verbose, bool) |
| Constructor for compatibility with SuperLU standard constructor. More...
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| Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::SPQR (const Matrix &matrix, const ParameterTree &config) |
| Constructs the SPQR solver. More...
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| Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::SPQR () |
| Default constructor.
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virtual | Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::~SPQR () |
| Destructor.
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virtual void | Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply (domain_type &x, range_type &b, InverseOperatorResult &res) |
| Apply inverse operator,. More...
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virtual void | Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply (domain_type &x, range_type &b, [[maybe_unused]] double reduction, InverseOperatorResult &res) |
| apply inverse operator, with given convergence criteria. More...
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void | Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setMatrix (const Matrix &matrix) |
| Initialize data from given matrix.
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void | Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setVerbosity (int v) |
| Sets the verbosity level for the solver. More...
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SuiteSparseQR_factorization< T > * | Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getFactorization () |
| Return the matrix factorization. More...
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SPQRMatrix & | Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getInternalMatrix () |
| Return the column coppressed matrix. More...
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void | Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::free () |
| Free allocated space. More...
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const char * | Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::name () |
| Get method name.
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virtual SolverCategory::Category | Dune::UMFPack< M >::category () const |
| Category of the solver (see SolverCategory::Category)
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| Dune::UMFPack< M >::UMFPack (const Matrix &matrix, int verbose=0) |
| Construct a solver object from a matrix. More...
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| Dune::UMFPack< M >::UMFPack (const Matrix &matrix, int verbose, bool) |
| Constructor for compatibility with SuperLU standard constructor. More...
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| Dune::UMFPack< M >::UMFPack (const Matrix &mat_, const ParameterTree &config) |
| Construct a solver object from a matrix. More...
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| Dune::UMFPack< M >::UMFPack () |
| default constructor
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| Dune::UMFPack< M >::UMFPack (const Matrix &mat_, const char *file, int verbose=0) |
| Try loading a decomposition from file and do a decomposition if unsuccessful. More...
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| Dune::UMFPack< M >::UMFPack (const char *file, int verbose=0) |
| try loading a decomposition from file More...
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virtual void | Dune::UMFPack< M >::apply (domain_type &x, range_type &b, InverseOperatorResult &res) |
| Apply inverse operator,. More...
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virtual void | Dune::UMFPack< M >::apply (domain_type &x, range_type &b, [[maybe_unused]] double reduction, InverseOperatorResult &res) |
| apply inverse operator, with given convergence criteria. More...
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void | Dune::UMFPack< M >::apply (T *x, T *b) |
| additional apply method with c-arrays in analogy to superlu More...
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void | Dune::UMFPack< M >::setOption (unsigned int option, double value) |
| Set UMFPack-specific options. More...
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void | Dune::UMFPack< M >::saveDecomposition (const char *file) |
| saves a decomposition to a file More...
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void | Dune::UMFPack< M >::setMatrix (const Matrix &matrix) |
| Initialize data from given matrix.
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void | Dune::UMFPack< M >::setVerbosity (int v) |
| sets the verbosity level for the UMFPack solver More...
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void * | Dune::UMFPack< M >::getFactorization () |
| Return the matrix factorization. More...
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UMFPackMatrix & | Dune::UMFPack< M >::getInternalMatrix () |
| Return the column compress matrix from UMFPack. More...
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void | Dune::UMFPack< M >::free () |
| free allocated space. More...
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template<class S > |
std::size_t | Dune::ILUSubdomainSolver< M, X, Y >::copyToLocalMatrix (const M &A, S &rowset) |
| Copy the local part of the global matrix to ILU. More...
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template<class S > |
void | Dune::ILU0SubdomainSolver< M, X, Y >::setSubMatrix (const M &A, S &rowset) |
| Set the data of the local problem. More...
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template<class S > |
void | Dune::ILUNSubdomainSolver< M, X, Y >::setSubMatrix (const M &A, S &rowset) |
| Set the data of the local problem. More...
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void | Dune::SuperLU< M >::free () |
| free allocated space. More...
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| Dune::SuperLU< M >::SuperLU (const Matrix &mat, bool verbose=false, bool reusevector=true) |
| Constructs the SuperLU solver. More...
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| Dune::SuperLU< M >::SuperLU () |
| Empty default constructor. More...
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void | Dune::SuperLU< M >::setMatrix (const Matrix &mat) |
| Initialize data from given matrix.
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void | Dune::SuperLU< M >::apply (domain_type &x, range_type &b, InverseOperatorResult &res) |
| Apply inverse operator,. More...
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void | Dune::SuperLU< M >::apply (T *x, T *b) |
| Apply SuperLu to C arrays.
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Iterative Solvers supporting block recursive matrix and vector classes at compile time.
The Iterative Solver Template Library applies generic programming in C++ to the domain of iterative solvers of linear systems stemming from finite element discretizations. Those discretizations exhibit a lot of structure, e.g:
Our matrix and vector interface supports a block recursive structure. Each sparse matrix entry can itself be either a sparse or a small dense matrix.
The solvers use this recursive block structure via template meta programming at compile time.