Structured backward error for palindromic polynomial eigenvalue problems, II: Approximate eigentriplets

Author:

Liu Changli,Li Ren-Cang

Publisher

Springer Science and Business Media LLC

Subject

Mathematics (miscellaneous)

Reference21 articles.

1. Byers R, Mackey D S, Mehrmann V, Xu H. Symplectic, BVD, and palindromic approaches to discrete-time control problems. Technical Report, Preprint 14–2008, Institute of Mathematics, Technische Universität Berlin, 2008

2. Chu E K-W, Hwang T M, Lin W W, Wu C T. Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms. J Comput Appl Math, 2008, 219: 237–252

3. Guo C, Lin W W. Solving a structured quadratic eigenvalue problem by a structurepreserving doubling algorithm. SIAM J Matrix Anal Appl, 2010, 31(5): 2784–2801

4. Higham N J, Tisseur F, van Dooren P. Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems. Linear Algebra Appl, 2002, 351–352: 455–474

5. Hilliges A. Numerische Lösung von quadratischen Eigenwertproblemen mit Anwendungen in der Schiendynamik. Master’s Thesis, Technical University Berlin, Germany, July 2004

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