演講者:蔣俊岳教授
單 位:國立虎尾科技大學通識教育中心
日 期:2010年4月14日 PM 16:00
地 點:國立高雄大學理學院408室
講 題:The palindromic generalized eigenvalue problem: Numerical Solution and Applications
摘 要:
In this talk, we consider the palindromic doubling algorithm (PDA) for the palindromic generalized eigenvalue problem (PGEP) A*x = 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.