A Convergence Analysis of The Inexact Simplified Jacobi-Davidson Method for The Large Hermitian Matrix Eigenvalue

摘要：

The inexact Jacobi-Davidson method is used for computing the smallest eigenpair of a large Hermitian matrix. Its shown in this paper that the original given condition in the convergence theorem of the inexact Jacobi-Davidson method is not sufficient. Two new convergence theorems of the inexact simplified Jacobi-Davidson method are presented and proved by the nature of eigenvalues. All the results are verified and analyzed by numerical experiments.

关键词： Large Hermitian matrix eigenvalue Jacobi-Davidson method convergence

作者: Qu Qingguo

作者单位: College of Science Shan Dong Jiaotong University Jinan, China

会议类型: 国际会议

会议名称: 2012 International Conference on Electric Technology and Civil Engineering(2012 电子技术与土木工程国际会议 ICETCE 2012)

会议地点: 三峡

会议语种:英文

页码: 2087-2089

在线出版日期: 2012-05-18（万方平台首次上网日期，不代表论文的发表时间）