7月28日周五上午Ren-Cang Li 教授学术报告

题目:Perturbation of Partitioned Hermitian Generalized Eigenvalue Problem
时间地点:7月28号(周五)上午10:00-11:00,红瓦楼723.
报告人:Ren-Cang Li 教授 美国Texas大学Arlington分校
摘要:
There is a wealth material on extracting useful information about the eigenvalues of a Hermitian matrix from its submatrices. Chapter 10 of Parlett's The Symmetric Eigenvalue Problem (in SIAM's Classics in Applied Mathematics series) coherently presented a comprehensive survey of both classical material named after Cauchy, Courant, Fisher, Lehmann, Weyl, and Wiedlandt, as well as refinements developed in response to demands for the computation of eigenvalues of large matrices by Kahan, Parlett, and others. In this talk, we shall first present our small contribution to the effect on A’s eigenvalues if the off-diagonal blocks E and E* of are set to zeros. Then we discuss its extensions to the Hermitian generalized eigenvalue problem.