大型对称二次束部分极点配置的多步法  

A MULTI-STEP METHOD FOR PARTIAL POLE ASSIGNMENT IN LARGE SYMMETRIC QUADRATIC PENCIL

作　　者：刘庆 戴华[1] Liu Qing;Dai Hua(Dept.of Math.,Nanjing University of Aeronautics and Astronautics,Nanjing 210016)

机构地区：[1]南京航空航天大学数学系,南京210016

出　　处：《高等学校计算数学学报》2019年第4期358-374,共17页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金资助项目(No.11571171).

摘　　要：In this paper,the partial pole assignment problem in large symmetric quadratic pencil is considered.We propose a multi-step method for solving this problem in which the undesired eigenvalues are moved to desired values and the remaining eigenvalues are required to remain unchanged.By establishing the new connection among system matrices,undesired eigenvalues and corresponding eigenvectors,desired eigenvalues and control vectors,we transform this problem into a system of linear equations of lower order.Our method no longer needs to compute the eigenvectors corresponding to desired eigenvalues and is of particular interest in large systems where only a small part of the spectrum is to be reassigned.Numerical examples show that the proposed method is efficient.

关 键 词：inverse problem second-order linear systems partial pole assignment multi-step method. 

分 类 号：O241.6[理学—计算数学]