Document Detail


SEMI-DEFINITE PROGRAMMING TECHNIQUES FOR STRUCTURED QUADRATIC INVERSE EIGENVALUE PROBLEMS.
MedLine Citation:
PMID:  25392603     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
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.
Authors:
Matthew M Lin; Bo Dong; Moody T Chu
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Publication Detail:
Type:  JOURNAL ARTICLE    
Journal Detail:
Title:  Numerical algorithms     Volume:  53     ISSN:  1017-1398     ISO Abbreviation:  Numer Algorithms     Publication Date:  2010 Apr 
Date Detail:
Created Date:  2014-11-13     Completed Date:  -     Revised Date:  2014-11-14    
Medline Journal Info:
Nlm Unique ID:  101637157     Medline TA:  Numer Algorithms     Country:  -    
Other Details:
Languages:  ENG     Pagination:  419-437     Citation Subset:  -    
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