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| SolverQMRS (SolverControl &cn, VectorMemory< VectorType > &mem, const AdditionalData &data=AdditionalData()) |
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| SolverQMRS (SolverControl &cn, const AdditionalData &data=AdditionalData()) |
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template<typename MatrixType , typename PreconditionerType > |
void | solve (const MatrixType &A, VectorType &x, const VectorType &b, const PreconditionerType &precondition) |
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virtual void | print_vectors (const unsigned int step, const VectorType &x, const VectorType &r, const VectorType &d) const |
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| Solver (SolverControl &solver_control, VectorMemory< VectorType > &vector_memory) |
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| Solver (SolverControl &solver_control) |
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boost::signals2::connection | connect (const std_cxx11::function< SolverControl::State(const unsigned int iteration, const doublecheck_value, const VectorType ¤t_iterate)> &slot) |
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| Subscriptor () |
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| Subscriptor (const Subscriptor &) |
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| Subscriptor (Subscriptor &&) |
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virtual | ~Subscriptor () |
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Subscriptor & | operator= (const Subscriptor &) |
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Subscriptor & | operator= (Subscriptor &&) |
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void | subscribe (const char *identifier=0) const |
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void | unsubscribe (const char *identifier=0) const |
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unsigned int | n_subscriptions () const |
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void | list_subscribers () const |
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template<class Archive > |
void | serialize (Archive &ar, const unsigned int version) |
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template<typename VectorType = Vector<double>>
class SolverQMRS< VectorType >
Quasi-minimal residual method for symmetric matrices.
The QMRS method is supposed to solve symmetric indefinite linear systems with symmetric, not necessarily definite preconditioners. This version of QMRS is adapted from Freund/Nachtigal: Software for simplified Lanczos and QMR algorithms, Appl. Num. Math. 19 (1995), pp. 319-341
This version is for right preconditioning only, since then only the preconditioner is used: left preconditioning seems to require the inverse.
For the requirements on matrices and vectors in order to work with this class, see the documentation of the Solver base class.
Like all other solver classes, this class has a local structure called AdditionalData
which is used to pass additional parameters to the solver, like damping parameters or the number of temporary vectors. We use this additional structure instead of passing these values directly to the constructor because this makes the use of the SolverSelector
and other classes much easier and guarantees that these will continue to work even if number or type of the additional parameters for a certain solver changes.
However, since the QMRS method does not need additional data, the respective structure is empty and does not offer any functionality. The constructor has a default argument, so you may call it without the additional parameter.
Observing the progress of linear solver iterations
The solve() function of this class uses the mechanism described in the Solver base class to determine convergence. This mechanism can also be used to observe the progress of the iteration.
- Author
- Guido Kanschat, 1999
Definition at line 71 of file solver_qmrs.h.