Package linear_operators :: Package iterative :: Module dli :: Class LanczosAlgorithm

Class LanczosAlgorithm

          object --+    
                   |    
algorithms.Algorithm --+
                       |
                      LanczosAlgorithm

Tridiagonalization Lanczos step and eigendecomposition at exit.

http://en.wikipedia.org/wiki/Lanczos_algorithm

Instance Methods

[hide private]

__init__(self, A, **kwargs)
x.__init__(...) initializes x; see help(type(x)) for signature

source code

initialize(self)

source code

iterate(self)
Perform one iteration and returns current solution.

source code

orthogonalization(self)

source code

update_alpha(self)

source code

update_w(self)

source code

update_beta(self)

source code

update_vectors(self)

source code

at_exit(self)
Convert alpha and beta to a TridiagonalOperator and perform eigendecomposition.

source code

Inherited from algorithms.Algorithm: __call__, callback, cont

Inherited from object: __delattr__, __format__, __getattribute__, __hash__, __new__, __reduce__, __reduce_ex__, __repr__, __setattr__, __sizeof__, __str__, __subclasshook__

Properties

[hide private]

Inherited from object: __class__

Method Details

[hide private]

init(self, A, **kwargs)
(Constructor)

source code

x.__init__(...) initializes x; see help(type(x)) for signature

Overrides: object.__init__: (inherited documentation)

initialize(self)

source code

Overrides: algorithms.Algorithm.initialize

iterate(self)

source code

Perform one iteration and returns current solution.

Overrides: algorithms.Algorithm.iterate: (inherited documentation)

at_exit(self)

source code

Convert alpha and beta to a TridiagonalOperator and perform eigendecomposition.

Overrides: algorithms.Algorithm.at_exit

Class LanczosAlgorithm

__init__(self, A, **kwargs) (Constructor)

initialize(self)

iterate(self)

at_exit(self)

init(self, A, **kwargs)
(Constructor)