The Quadratic Eigenvalue Problem
Top Cited Papers
- 1 January 2001
- journal article
- review article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Review
- Vol. 43 (2) , 235-286
- https://doi.org/10.1137/s0036144500381988
Abstract
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 numerical methods and catalogue available software.Keywords
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