BarycentricRational

class pmrf.models.surrogates.rational.BarycentricRational(support_points: Param = None, weights: Param = None, values: Param = None, *, name: str | None = None, metadata: Any = None, domain: str = 's', z0: Any = 50.0)

Bases: AbstractSingleDomain

(experimental) A highly numerically stable rational model defined by a barycentric expansion: H(s) = [ sum( w_i * f_i / (s - s_i) ) ] / [ sum( w_i / (s - s_i) ) ]

Parameters:

• support_points (Param) – The complex support points (s_i). Shape: (num_points,)

• weights (Param) – The barycentric weights (w_i). Shape: (num_points,)

• values (Param) – The function values at the support points (f_i). Shape: (num_points,) for scalars, or (num_points, N, N) for port matrices.

matrix(freq: Frequency) → Array

Compute the intrinsic matrix for the domain.

Parameters:

freq (Frequency) – The frequency grid to evaluate on.

Returns:

The intrinsic domain matrix.

Return type:

jax.numpy.ndarray

support_points: Param = None

Complex support points

values: Param = None

Function values at support points

weights: Param = None

Barycentric weights