报告时间：2026年10月17日（周六）上午 10:00-11:00
报告地点：苏州大学天赐庄校区精正楼103
报告人：谌鸿佳 副教授，南昌大学
报告摘要：
The generalized Lyapunov equation has a natural splitting that leads to the standard fixed-point iteration (sFPI) for its numerical solution. sFPI is convergent, for arbitrary given initial guess and regardless of the constant term in the equation, if and only if the spectral radius of the associated linear operator is smaller than 1. This means that sFPI diverges generically if the spectral radius is 1 or bigger. In this paper, we propose a compensated splitting scheme that aims to reduce the spectral radius so that the resulting compensated fixed-point iteration (cFPI) has a better convergence property in the sense cFPI may still converge while sFPI does not or cFPI converges much faster than sFPI. Numerical results are presented to demonstrate the superiority of cFPI to sFPI.
报告人简介：
谌鸿佳，南昌大学副教授，2018年博士毕业于日本筑波大学计算机科学专业，主要研究方向为数值代数领域的非线性特征值问题，矩阵方程的数值算法，加速算法。主持国家自然科学基金项目2项以及江西省自然科学基金项目1项。
邀请人：黄金枝