On structured componentwise condition numbers for Hamiltonian eigenvalue problems

被引：2

作者：

Diao, Huai-An ^{[1
]}

Zhao, Jian ^{[1
,2
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, 5268 Renmin St, Changchun 130024, Jilin, Peoples R China

[2] Univ Sci & Technol China, Sch Phys Sci, Hefei 230026, Anhui, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2018年 / 335卷

关键词：

Hamiltonian eigenvalue problems; Condition number; Componentwise; Normwise; Structured perturbations; PERTURBATIONS; MATRICES;

D O I：

10.1016/j.cam.2017.11.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the structured componentwise perturbation analysis to Hamiltonian eigenvalue problems. The explicit expressions for the relative structured componentwise condition number for Hamiltonian eigenvalue problems are derived. Also, we will compare the relative structured componentwise condition number with the relative unstructured componentwise condition number and the relative structured normwise condition number, respectively. We show the superiority of the relative structured componentwise condition number through numerical examples. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：74 / 85

页数：12