SOLVING LARGE-SCALE QUADRATIC EIGENVALUE PROBLEMS WITH HAMILTONIAN EIGENSTRUCTURE USING A STRUCTURE-PRESERVING KRYLOV SUBSPACE METHOD

被引：0

作者：

Benner, Peter ^{[1
]}

Fassbender, Heike ^{[2
]}

Stoll, Martin ^{[3
]}

机构：

[1] TU Chemnitz, Fak Math Math Ind & Tech, D-09107 Chemnitz, Germany

[2] TU Braunschweig, Inst Computat Math, AG Numer, D-38023 Braunschweig, Germany

[3] Math Inst, Oxford OX1 3LB, England

来源：

ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2007年 / 29卷

关键词：

quadratic eigenvalue problem; Hamiltonian symmetry; Krylov subspace method; symplectic Lanczos process; gyroscopic systems;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the numerical solution of quadratic eigenproblems with spectra that exhibit Hamiltonian symmetry. We propose to solve such problems by applying a Krylov-Schur-type method based on the symplectic Lanczos process to a structured linearization of the quadratic matrix polynomial. In order to compute interior eigenvalues, we discuss several shift-and-invert operators with Hamiltonian structure. Our approach is tested for several examples from structural analysis and gyroscopic systems.

引用

页码：212 / 229

页数：18

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