3 papers
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
A Minimal Perturbation Approach For The Rectangular Multiparameter Eigenvalue Problem
Shanheng Han, Lei-Hong Zhang, Ren-Cang Li
The rectangular multiparameter eigenvalue problem (RMEP) involves rectangular coefficient matrices (usually with more rows than columns) and may potentially have no solution in its…
math.NA2025
A convergence analysis of Lawson's iteration for computing polynomial and rational minimax approximations
Lei-Hong Zhang, Shanheng Han
Lawson's iteration is a classical and effective method for solving the linear (polynomial) minimax approximation problem in the complex plane. Extension of Lawson's iteration for t…