报告问题 (Title)：A New Rational Approximation Algorithm via the Empirical Interpolation Method（基于履历插值法的新型有理迫近算法）

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

报告所在 (Place)：校本部GJ303

约请人(Inviter)：纪丽洁

主理部分：理学院数学系

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.