pymor.solvers.matrix_equations.default

Module Contents

class pymor.solvers.matrix_equations.default.DefaultLyapunovSolver

Bases: pymor.solvers.matrix_equations.interface.LyapunovSolver

Default LyapunovSolver.

A solver backend is chosen based on availability in the following order:

1. slycot (SlycotLyapunovSolver),

2. scipy (ScipyLyapunovSolver).

class pymor.solvers.matrix_equations.default.DefaultLyapunovSolverLRCF

Bases: pymor.solvers.matrix_equations.interface.LyapunovSolverLRCF

Default LyapunovSolverLRCF.

A solver backend is chosen based on availability in the following order:

• for sparse, continous-time problems (minimum size specified by

  mat_eqn_sparse_min_size)

  1. lradi (see pymor.solvers.matrix_equations.lradi.LRADILyapunovSolverLRCF),

• for dense problems (smaller than

  mat_eqn_sparse_min_size) or discrete-time problems

  1. slycot (see pymor.bindings.slycot.SlycotLyapunovSolverLRCF),

  2. scipy (see pymor.bindings.scipy.ScipyLyapunovSolverLRCF).

class pymor.solvers.matrix_equations.default.DefaultPositiveRiccatiSolver

Bases: pymor.solvers.matrix_equations.interface.PositiveRiccatiSolver

Default PositiveRiccatiSolver.

A solver backend is chosen based on availability in the following order:

1. slycot (see pymor.bindings.slycot.SlycotPositiveRiccatiSolver),

2. scipy (see pymor.bindings.scipy.ScipyPositiveRiccatiSolver).

class pymor.solvers.matrix_equations.default.DefaultPositiveRiccatiSolverLRCF

Bases: pymor.solvers.matrix_equations.interface.PositiveRiccatiSolverLRCF

Default PositiveRiccatiSolverLRCF.

A solver backend is chosen based on availability in the following order:

1. slycot (see pymor.bindings.slycot.SlycotPositiveRiccatiSolverLRCF),

2. scipy (see pymor.bindings.scipy.ScipyPositiveRiccatiSolverLRCF).

Currently, only dense solvers are supported.

class pymor.solvers.matrix_equations.default.DefaultRiccatiSolver

Bases: pymor.solvers.matrix_equations.interface.RiccatiSolver

Default RiccatiSolver.

A solver backend is chosen based on availability in the following order:

1. slycot (see pymor.bindings.slycot.SlycotRiccatiSolver),

2. scipy (see pymor.bindings.scipy.ScipyRiccatiSolver).

class pymor.solvers.matrix_equations.default.DefaultRiccatiSolverLRCF

Bases: pymor.solvers.matrix_equations.interface.RiccatiSolverLRCF

Default RiccatiSolverLRCF.

A solver backend is chosen based on availability in the following order:

• for sparse problems (minimum size specified by

  mat_eqn_sparse_min_size)

  1. lrradi (see pymor.solvers.matrix_equations.lrradi.LRRADIRiccatiSolverLRCF),

• for dense problems (smaller than

  mat_eqn_sparse_min_size)

  1. slycot (see pymor.bindings.slycot.SlycotRiccatiSolverLRCF),

  2. scipy (see pymor.bindings.scipy.ScipyRiccatiSolverLRCF).

class pymor.solvers.matrix_equations.default.DefaultSylvesterSolver

Bases: pymor.solvers.matrix_equations.interface.SylvesterSolver

Default SylvesterSolver.

As solver backend the pymor.solvers.matrix_equations.sylvester.SylvesterSchurSolver is chosen.

class pymor.solvers.matrix_equations.default.MatrixEquationSolvers(lyapunov=None, lyapunov_lrcf=None, riccati=None, riccati_lrcf=None, positive_riccati=None, positive_riccati_lrcf=None, sylvester=None)

Bases: pymor.core.base.ImmutableObject

This class configures matrix equation solvers for all supported types of matrix equations.

Parameters:

• lyapunov – A LyapunovSolver or None, then DefaultLyapunovSolver is used.

• lyapunov_lrcf – A LyapunovSolverLRCF or None, then DefaultLyapunovSolverLRCF is used.

• riccati – A RiccatiSolver or None, then DefaultRiccatiSolver is used.

• riccati_lrcf – A RiccatiSolverLRCF or None, then DefaultRiccatiSolverLRCF is used.

• positive_riccati – A PositiveRiccatiSolver or None, then DefaultPositiveRiccatiSolver is used.

• positive_riccati_lrcf – A PositiveRiccatiSolverLRCF or None, then DefaultPositiveRiccatiSolverLRCF is used.

• sylvester – A SylvesterSolver or None, then DefaultSylvesterSolver is used.