lmlib.polynomial.poly.poly_prod_expo#

lmlib.polynomial.poly.poly_prod_expo(expos)#

\(\alpha^\mathsf{T} x^q \cdot \beta^\mathsf{T} x^r = \tilde{\alpha}^\mathsf{T} x^{\color{blue}{\tilde{q}}}\)

Exponent vector \(\tilde{q}\) of product of two univariate polynomials of common variable x

Parameters

expos (tuple of arraylike) – (q, r), exponent vectors of the two polynomials

Returns

q_tilde, exponent vector \(\tilde{q}\) of product polynomial \(\tilde{\alpha}^\mathsf{T} x^\tilde{q}\), see poly_prod()

Return type

coef ndarray

References

[Wildhaber2019] (Eq. 6.16)