Computing Eigenpairs of Hermitian Matrices in Perfect Krylov Subspaces

：白中治研究员
：2019-05-13 16:40
：实验楼108

       Speaker：Researcher Zhongzhi Bai

                        Academy of Mathematics Systems Sciences, Chinese Academy of Sciences

Title:  Computing Eigenpairs of Hermitian Matrices in Perfect Krylov Subspaces

       Time：13 May 2019,16:40

Location：实验楼108

Abstract:  For computing the smallest eigenvalue 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 global convergence properties, discuss their inexact implementations preconditioning strategies. In addition, we use numerical experiments to demonstrate the convergence properties exhibit the competitiveness of these methods with a few state-of-the art iteration methods when they are employed to solve large sparse Hermitian eigenvalue problems.

      Speaker Introduction：白中治，中国科学院研究员，国家杰出青年基金获得者，冯康科学计算奖获得者，享受国务院政府特殊津贴专家，国际线性代数学会会员，中国线性代数专业委员会委员，“计算数学”学报、“Numerical Linear Algebra with Applications”、“Numerical Algorithms”和“Journal of Computational Applied Mathematics”等国内外学术期刊编委。先后获得国家教育委员会科学技术进步奖三等奖及中国科学院自然科学奖三等奖、青年科学家奖二等奖、优秀青年奖等多项荣誉。

 联系人：  白正简教授