Perturbations of Hermitian eigenstructure and general singular structure: An analytic approach

发布者:张译文发布时间:2025-04-30浏览次数:10

江苏省应用数学(williamhill中文)中心系列学术报告

报告题目:Perturbations of Hermitian eigenstructure and general singular structure: An analytic approach

报告人:陈小山 教授华南师范大学数学科学学院

报告时间:202558日(周四)1000-1100

报告地点:数学A321

报告人简介:陈小山,华南师范大学数学科学学院教授,博导,主要从事数值代数及其应用方面的研究工作。主要论文在Numer. Math., SIAM J. Matrix Anal. Appl., Numer. Linear Algebra Appl.,BIT Numer. Math.以及Linear Algebra Appl.等国际知名期刊上发表。

报告摘要Analytic methods are proposed to derive perturbation bounds ofHermitian spectral decomposition and singular value decomposition. The derived boundedare analogous to the existing combined absolute perturbation bounds. The proofs are elementary and straightforward.