RESULT VERIFICATION FOR THE REAL QUADRATIC EIGENVALUE PROBLEM

被引：1

作者：

Voos, Friederike ^{[1
]}

机构：

[1] Karlsruher Inst Technol, Inst Angew & Numer Math 1, D-76131 Karlsruhe, Germany

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2012年 / 33卷 / 02期

关键词：

quadratic eigenvalue problem; polynomial eigenvalue problem; result verification; interval analysis; second-order differential equation (system); ERROR-BOUNDS; EIGENVECTORS;

D O I：

10.1137/090780249

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method for verifying and enclosing real simple eigenvalues and associated eigenvectors of the real quadratic eigenvalue problem is presented. This method uses appropriate eigenpair approximations. Improved bounds for the eigenpair can be calculated iteratively. The paper closes with numerical examples.

引用

页码：369 / 387

页数：19

共 12 条

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