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A Ulm-like method for inverse eigenvalue problems
Shen W.P.1; Li C.2,3; Jin X.Q.4
2011-03-01
Source PublicationApplied Numerical Mathematics
ISSN01689274
Volume61Issue:3Pages:356-367
Abstract

We propose a Ulm-like method for solving inverse eigenvalue problems, which avoids solving approximate Jacobian equations comparing with other known methods. A convergence analysis of this method is provided and the R-quadratic convergence property is proved under the assumption of the distinction of given eigenvalues. Numerical experiments as well as the comparison with the inexact Newton-like method are given in the last section. 

KeywordInexact Newton-like Method Inverse Eigenvalue Problem Nonlinear Equation Ulm-like Method
DOIhttp://doi.org/10.1016/j.apnum.2010.11.001
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000286780200006
PublisherELSEVIER SCIENCE BV
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Citation statistics
Cited Times [WOS]:20   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorShen W.P.
Affiliation1.Department of Mathematics, Zhejiang Normal University, Jinhua 321004, PR China
2.Department of Mathematics, Zhejiang University, Hangzhou 310027, PR China
3.Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
4.Department of Mathematics, University of Macau, Macao, PR China
Recommended Citation
GB/T 7714
Shen W.P.,Li C.,Jin X.Q.. A Ulm-like method for inverse eigenvalue problems[J]. Applied Numerical Mathematics,2011,61(3):356-367.
APA Shen W.P.,Li C.,&Jin X.Q..(2011).A Ulm-like method for inverse eigenvalue problems.Applied Numerical Mathematics,61(3),356-367.
MLA Shen W.P.,et al."A Ulm-like method for inverse eigenvalue problems".Applied Numerical Mathematics 61.3(2011):356-367.
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