Automatically assigned DDC number: 5129434

Manually assigned DDC number: 5129434

Number of references: 29

Title: A Survey of the Quadratic Eigenvalue Problem

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Subject: F. Tisseur,K. Meerbergen,Francoise Tisseur,Karl Meerbergen A Survey of the Quadratic Eigenvalue Problem

Description: . We survey the quadratic eigenvalue problem, treating its many applications, its mathematical properties, and a variety of numerical solution techniques. Emphasis is given to exploiting both the structure of the matrices in the problem (dense, sparse, real, complex, Hermitian, skew-Hermitian) and the spectral properties of the problem. We classify the available choices of methods and catalogue available software. Key words. quadratic eigenvalue problem, eigenvalue, eigenvector, -matrix, matrix polynomial, second-order differential equation, overdamped system, gyroscopic system, linearization, backward error, pseudospectrum, condition number, Krylov methods, Arnoldi method, Lanczos method, Jacobi-Davidson method AMS subject classifications. 65F30 Contents 1 Introduction 2 2 Applications of QEPs 4 2.1 Second-order differential equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Vibration analysis of structural systems -- Modal superpositio...

Contributor: The Pennsylvania State University CiteSeer Archives

Publisher: unknown

Date: 2000-11-03

Pubyear: 2000

Format: ps

Identifier: http://citeseer.ist.psu.edu/375011.html

Source: http://www.maths.man.ac.uk/~nareports/narep370.ps.gz

Language: en

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