Colloquium
DATE	2016-12-19　16:10-17:00
PLACE	數學館3174教室
SPEAKER	林文偉教授（交通大學應用數學系）
TITLE	Structure-Preserving Algorithms for Palindromic Quadratic Eigenvalue Problems with Applications
ABSTRACT	In this talk we mainly study palindromic quadratic eigenvalue problems (P-QEPs) and the related nonlinear matrix equations (NMEs), typically arising in the vibration analysis for fast trains, the Green's function calculation in nano research and the surface accoustic wave filtering problems etc. We prove the existence and uniqueness of the (weakly) stabilizing solution for the NME, and develop structure-preserving (doubling) algorithms for solving the P-QEPs and the associated NMEs. Numerical results show that our proposed SDAs are efficiently and accurately in real engineering and chemistrical applicaition problems.