报告主题：Computing Eigenpairs of Hermitian Matrices in Perfect Krylov Subspaces
报告人：白中治 教授 （中科院数学所）
报告时间：2019年6月12日（周三） 9：30
报告地点：校本部G507
邀请人：顾传青
主办部门：太阳成集团tyc33455数学系
报告摘要：For computing the smallest eigenvalue and the corresponding eigenvector of a Hermitian matrix, by introducing a concept of perfect Krylov subspace we propose a class of perfect Krylov subspace methods. For these methods, we prove their local, semilocal and global convergence properties, and discuss their inexact implementations and preconditioning strategies. In addition, we use numerical experiments to demonstrate the convergence properties and exhibit the competitiveness of these methods with a few state-of-the art iteration methods when they are employed to solve large and sparse Hermitian eigenvalue problems.
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