The palindromic generalized eigenvalue problem Az.ast;x= λAx: Numerical solution and applications

Tiexiang Li, Chun Yueh Chiang, Eric King Wah Chu, Wen-Wei Lin

研究成果: Article同行評審

8 引文 斯高帕斯(Scopus)

摘要

In this paper, we propose the palindromic doubling algorithm (PDA) for the palindromic generalized eigenvalue problem (PGEP) Az.astx=λAx. We establish a complete convergence theory of the PDA for PGEPs without unimodular eigenvalues, or with unimodular eigenvalues of partial multiplicities two (one or two for eigenvalue 1). Some important applications from the vibration analysis and the optimal control for singular descriptor linear systems will be presented to illustrate the feasibility and efficiency of the PDA.

原文English
頁(從 - 到)2269-2284
頁數16
期刊Linear Algebra and Its Applications
434
發行號11
DOIs
出版狀態Published - 1 六月 2011

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