报告题目 (Title)：A New Rational Approximation Algorithm via the Empirical Interpolation Method
中文题目：基于经验插值法的新型有理逼近算法
报告人 (Speaker)：李雨文 研究员（浙江大学）
报告时间 (Time)：2025年4月19日 (周六) 9:45
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：纪丽洁
主办部门：8455新葡萄场网站数学系
摘要：In this talk, I will present a rational approximation algorithm via the empirical interpolation method for interpolating a family of parametrized functions to rational polynomials with invariant poles, leading to efficient numerical algorithms for space-fractional differential equations, parameter-robust preconditioning, and evaluation of matrix functions. Compared to classical rational approximation algorithms, the proposed method is more efficient for approximating a large number of target functions. In addition, I will give a convergence estimate of the rational approximation algorithm using the metric entropy numbers.
