lmlib.polynomial.poly.poly_dilation_coef#

lmlib.polynomial.poly.poly_dilation_coef(poly, eta)#

\(\alpha^\mathsf{T} (\eta x)^q =\color{blue}{\tilde{\alpha}}^\mathsf{T} x^q\)

Coefficient vector \(\tilde{\alpha}\) of dilated polynomial by scaling x by constant value \(\eta \in \mathbb{R}\), see poly_dilation().

Parameters
  • poly (Poly) – polynomial to be scaled

  • eta (float) – eta, dilation factor \(\eta\)

Returns

Coefficient vector \(\tilde{\alpha}\)

Return type

coef ndarray

References

[Wildhaber2019] (Eq. 6.34)