Isospectral vibrating systems, part 2: Structure preserving transformations

被引：14
|
作者：
Prells, Uwe [1 ]
Lancaster, Peter [2 ]
机构：
[1] Univ Nottingham, Sch Mech Mat Mfg Engn & Management, Nottingham NG7 2RD, England
[2] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada
来源：
OPERATOR THEORY AND INDEFINITE INNER PRODUCT SPACES | 2006年 / 163卷
基金：
英国工程与自然科学研究理事会; 加拿大自然科学与工程研究理事会;
关键词：
vibrating systems; inverse problems; damping;
D O I：
10.1007/3-7643-7516-7_12
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The study of inverse problems for n x n-systems of the form L(lambda) := M lambda(2) + D lambda + K is continued. In this paper it is assumed that one vibrating system is specified and the objective is to generate isospectral families of systems, i.e., systems which reproduce precisely the eigenvalues of the given system together with their multiplicities. Two central ideas are developed and used, namely, standard triples of matrices, and structure preserving transformations.
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页码：275 / +
页数：3
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