Computing Eigenpairs of Hermitian Matrices in Perfect Krylov Subspaces

题  目:  Computing Eigenpairs of Hermitian Matrices in  Perfect Krylov Subspaces

报告人： 白中治研究员 （中国科学院数学与系统科学研究院）

时  间： 4月8日 16:00-17:00

地  点：工商楼200-9

报告人简介： 国家杰出青年基金获得者，获国务院政府特殊津贴，Numer. Linear Alge. Appl.等杂志的编委，在Numer. Math., SIAMAX, SIAMNUM,Numer. Linear Alge. Appl.等专业杂志上发表高水平文章。他与合作者所提出的HSS方法及其理论研究得到了大量的引用。近几年来，均名列高被引的中国数学学者。是国际数值线性代数领域的杰出专家。

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.

联系人： 黄正达（zdhuang@zju.edu.cn）