[HTML][HTML] Fast and reliable algorithms for computing the zeros of Althammer polynomials

T Laudadio, N Mastronardi, P Van Dooren - Applied Numerical …, 2025 - Elsevier
In this manuscript, we propose a stable algorithm for computing the zeros of Althammer
polynomials. These polynomials are orthogonal with respect to a Sobolev inner product, and …

An Arnoldi-based approach to polynomial and rational least squares problems

A Faghih, M Van Barel, N Van Buggenhout… - arXiv preprint arXiv …, 2024 - arxiv.org
In this research, we solve polynomial, Sobolev polynomial, rational, and Sobolev rational
least squares problems. Although the increase in the approximation degree allows us to fit …