3 papers
math.NA2026
Interpolation constrained rational minimax approximation with barycentric representation
Lei-Hong Zhang, Ya-Nan Zhang
In this paper, we propose a novel dual-based Lawson's method, termed {b-d-Lawson}, designed for addressing the rational minimax approximation under specific interpolation condition…
math.NA2025
Rational minimax approximation of matrix-valued functions
Lei-Hong Zhang, Ya-Nan Zhang, Chenkun Zhang +1
In this paper, we present a rigorous framework for rational minimax approximation of matrix-valued functions that generalizes classical scalar approximation theory. Given sampled d…
math.NA2025
Multivariate confluent Vandermonde with G-Arnoldi and applications
Lei-Hong Zhang, Ya-Nan Zhang, Linyi Yang +1
In the least-squares fitting framework, the Vandermonde with Arnoldi (V+A) method presented in [Brubeck, Nakatsukasa, and Trefethen, {SIAM Review}, 63 (2021), pp. 405-415] is an ef…