Semi-definite programming techniques for structured quadratic inverse eigenvalue problems

Matthew M. Lin, Bo Dong, Moody T. Chu

研究成果: Article同行評審

19 引文 斯高帕斯(Scopus)

摘要

In the past decade or so, semi-definite programming (SDP) has emerged as a powerful tool capable of handling a remarkably wide range of problems. This article describes an innovative application of SDP techniques to quadratic inverse eigenvalue problems (QIEPs). The notion of QIEPs is of fundamental importance because its ultimate goal of constructing or updating a vibration system from some observed or desirable dynamical behaviors while respecting some inherent feasibility constraints well suits many engineering applications. Thus far, however, QIEPs have remained challenging both theoretically and computationally due to the great variations of structural constraints that must be addressed. Of notable interest and significance are the uniformity and the simplicity in the SDP formulation that solves effectively many otherwise very difficult QIEPs.

原文English
頁(從 - 到)419-437
頁數19
期刊Numerical Algorithms
53
發行號4
DOIs
出版狀態Published - 2010 四月

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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