over_relaxation module¶
The over-relaxation method.
- class gemseo.algos.sequence_transformer.relaxation.over_relaxation.OverRelaxation(factor=1.0)[source]¶
Bases:
SequenceTransformer
The over relaxation method.
- Parameters:
factor (float) –
The relaxation factor lying within ]0, 2].
By default it is set to 1.0.
- Raises:
ValueError if the provided relaxation factor lies outside ]0, 2]. –
- clear()¶
Clear the iterates.
- Return type:
None
- compute_transformed_iterate(current_iterate, next_iterate)¶
Compute the next transformed iterate.
- Parameters:
current_iterate (NDArray) – The current iterate \(x_n\).
next_iterate (NDArray) – The new iterate \(G(x_n)\).
- Returns:
The next transformed iterate \(x_{n+1}\).
- Return type:
NDArray