lmlib.polynomial.poly.poly_dilation#

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

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

Dilation of a polynomial by scaling x by constant value \(\eta \in \mathbb{R}\)

Parameters
  • poly (Poly) – polynomial to be scaled

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

Returns

out – dilated polynomial, \(\tilde{\alpha}^\mathsf{T} x^\tilde{q}\)

Return type

Poly

References

[Wildhaber2019] (Eq. 6.33)