汇报标题 (Title)：A New Rational Approximation Algorithm via the Empirical Interpolation Method（基于经验插值法的新型有理逼近算法）
汇报人 (Speaker)：李雨文 钻研员 （浙江大学）
汇报功夫 (Time)：2025年4月19日 (周六) 9:45
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：纪丽洁
主办部门：理学院数学系
提要：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.
