3 papers
math.OC2026
Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms
Lei-Hong Zhang, Chenkun Zhang
In this paper, we study rational minimax approximation for continuous complex matrix-valued functions in the Frobenius norm, where all approximant entries share a common denominato…
math.NA2026
NEP_MiniMax: An Approach for NEPs Based on Matrix-valued Minimax Approximations
Chenkun Zhang, Jiawei Gu, Lei-Hong Zhang
We propose NEP_MiniMax, a novel computational method for solving nonlinear eigenvalue problems (NEPs) on compact continua . The method co…
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…