.png){kind=icon}
返回
Structured quadratic inverse eigenvalue problem, I. Serially linked systems
.png){kind=icon}
PRE
AI
DOI：10.1137/060672510.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
Quadratic pencils arising from applications are often inherently structured. Factors contributing to the structure include the connectivity of elements within the underlying physical system and the mandatory nonnegativity of physical parameters. For physical feasibility, structural constraints must be respected. Consequently, they impose additional challenges on the inverse eigenvalue problems which intend to construct a structured quadratic pencil from prescribed eigen-information. Knowledge of whether a structured quadratic inverse eigenvalue problem is solvable is interesting in both theory and applications. However, the issue of solvability is problem dependent and has to be addressed structure by structure. This paper considers one particular structure where the elements of the physical system, if modeled as a mass-spring system, are serially linked. The discussion recasts both undamped and damped problems in a framework of inequality systems that can be adapted for numerical computation. Some open questions are described.
Keyword:
quadratic pencil
inverse eigenvalue problem
linear oscillator
inner-connectivity
nonnegativity
linear system of inequalities
期刊
IF:
2.6
论文数:
5.1K
被引数:
1.8W
机构
暂无机构信息
引用论文
.png){kind=icon}
分享收藏分享收藏
分享收藏
查看更多内容