minimum_polynomial module¶
The minimum polynomial method.
- class gemseo.algos.sequence_transformer.acceleration.minimum_polynomial.MinimumPolynomial(window_size=5)[source]¶
Bases:
SequenceTransformer
The minimum polynomial extrapolation method.
The method is introduced in: Cabay, S.; Jackson, L.W, “A polynomial extrapolation method for finding limits and antilimits of vector sequences”, SIAM Journal on Numerical Analysis, (1976).
- Parameters:
window_size (int) –
The maximum number of iterates to be kept.
By default it is set to 5.
- 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