On exact rate of convergence of row sequences of multipoint Hermite-Padé approximants

Autor: Bosuwan Nattapong

Publikováno v: Demonstratio Mathematica, Vol 57, Iss 1, Pp 28-36 (2024)

In this article, we analyze a rate of attraction of poles of an approximated function to poles of incomplete multipoint Padé approximants and use it to derive a sharp bound on the geometric rate of convergence of multipoint Hermite-Padé approximant

Externí odkaz: https://doaj.org/article/9c570d342cc543abac2a6d331b77d7d2

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Multiple Meixner Polynomials on a Non-Uniform Lattice

Autor: Jorge Arvesú, Andys M. Ramírez-Aberasturis

Publikováno v: Mathematics, Vol 8, Iss 9, p 1460 (2020)

We consider two families of type II multiple orthogonal polynomials. Each family has orthogonality conditions with respect to a discrete vector measure. The r components of each vector measure are q-analogues of Meixner measures of the first and seco

Externí odkaz: https://doaj.org/article/35ee7aedf53c4356bf2e9cbbaec6f635

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Fast computation of approximant bases in canonical form

Autor: Claude-Pierre Jeannerod, Vincent Neiger, Gilles Villard

Publikováno v: Journal of Symbolic Computation
Journal of Symbolic Computation, Elsevier, 2020, 98, pp.192-224. ⟨10.1016/j.jsc.2019.07.011⟩
Journal of Symbolic Computation, 2020, 98, pp.192-224. ⟨10.1016/j.jsc.2019.07.011⟩

In this article, we design fast algorithms for the computation of approximant bases in shifted Popov normal form. We first recall the algorithm known as PM-Basis, which will be our second fundamental engine after polynomial matrix multiplication: mos

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dffbcfb30a66b7e37b59bd88c0acc986
https://doi.org/10.1016/j.jsc.2019.07.011