On the Sufficient and Necessary Condition for the Inverse Problem of a Mass-spring System

被引：0
|
作者：
Bai, Zheng-Jian [1 ]
机构：
[1] Xiamen Univ, Dept Informat & Computat Math, Xiamen 361005, Peoples R China
来源：
ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS | 2008年
关键词：
Mass-spring system; inverse eigenvalue problem; quadratic pencil;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the inverse problem for a special mass-spring system from its one or two eigenpairs, where the mass and stiffness matrices are symmetric positive definite with the mass matrix being diagonal and the stiffness matrix being tridiagonal. The sufficient and necessary condition on the prescribed eigendata for the existence of a physical solution is provided.
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页码：5 / 8
页数：4
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