一类弹簧质点系统的广义逆特征对问题

数学理论与应用 ›› 2018, Vol. 38 ›› Issue (3-4): 69-84.

一类弹簧质点系统的广义逆特征对问题

黄贤通

赣南师范大学现代教育技术中心

出版日期:2018-12-30 发布日期:2020-09-21

A Kind of Generalized Inverse Eigen-pairs Problem for Fixed-Free Mass-Spring System

Online:2018-12-30 Published:2020-09-21
Supported by:
Supported by the Development for Local Colleges and Universities Foundation of China(Applied Mathematics Innovative team building,2015)

摘要/Abstract

摘要： 本文通过求解广义逆特征对问题来重构一类固定——自由型质点弹簧系统,获得问题有解的条件和解的表达式,并给出数值算法和例子.

关键词: 广义逆特征对问题, 弹簧质点系统, Jacobi矩阵

Abstract: This paper discusses the problem for constructing a kind of fixed-free mass-spring system by solving a kind of generalized inverse eigen-pairs problem. The conditions of solvability and the expression of solution are derived. The numerical algorithms and some numerical examples are given.

Key words: Generalized inverse eigen-pairs problem, Mass-spring system, Jacobi matrix

黄贤通.

一类弹簧质点系统的广义逆特征对问题 [J]. 数学理论与应用, 2018, 38(3-4): 69-84.

Huang Xiantong.

A Kind of Generalized Inverse Eigen-pairs Problem for Fixed-Free Mass-Spring System [J]. Mathematical Theory and Applications, 2018, 38(3-4): 69-84.