报告人：张理评讲师

        浙江工业大学

题目：Inheritance Properties of Krylov Subspace Methods for Continuous-Time Algebraic Riccati Equations

时间：2018年07月06日下午17:00

地点：海韵实验楼105

摘要：We consider the numerical solution of large-scale continuous-time algebraic Riccati equations by Krylov subspace methods. We show that the solvability of the projected algebraic Riccati equation does not have to be assumed but can be inherited. In this first step in the study of inheritance properties, solvability in terms of stabilizability, detectability, stability of the associated Hamiltonian matrix and perturbation in terms of residuals have been considered. Special attention is paid to the stabilizing and positive semi-defi nite properties of approximate solutions. Illustrative numerical examples are presented.

报告人简介：张理评，博士、讲师。2015年博士毕业于复旦大学数学科学学院，现为浙江工业大学应用数学系讲师。研究方向为数值线性代数, Riccati 方程数值解, 不适定问题正则化, 张量线性系统求解。在国内外重要学术刊物 “SIAM J. Matrix Anal. Appl.”、“SIAM J. Sci. Comput.”、 Numer. Linear Algebr. Appl.” 等发表论文8篇。

联系人：白正简教授

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