4 papers
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…
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…
The -weighted dual programming of the linear Chebyshev approximation and an interior-point method
Linyi Yang, Lei-Hong Zhang, Ya-Nan Zhang
Given samples of a real or complex-valued function on a set of distinct nodes, the traditional linear Chebyshev approximation is to compute the best minimax approximation on a pres…
A convex dual problem for the rational minimax approximation and Lawson's iteration
Lei-Hong Zhang, Linyi Yang, Wei Hong Yang +1
Computing the discrete rational minimax approximation in the complex plane is challenging. Apart from Ruttan's sufficient condition, there are few other sufficient conditions for g…