lmlib.polynomial.poly.poly_dilation_coef_L#

lmlib.polynomial.poly.poly_dilation_coef_L(expo, eta)#

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

Coefficient manipulation matrix \(\tilde{\Lambda}\) to dilated polynomial by scaling x by constant value \(\eta \in \mathbb{R}\), see poly_dilation().

Parameters
  • expo (array_like) – q, Exponent vector \(q\)

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

Returns

LL, Coefficient Manipulation Matrices \(\Lambda\)

Return type

ndarray

References

[Wildhaber2019] (Eq. 6.35)