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An inexact Cayley transform method for inverse eigenvalue problems with multiple eigenvalues
Shen W.P.1; Li C.2; Jin X.Q.3
2015-08-01
Source PublicationInverse Problems
ISSN13616420 02665611
Volume31Issue:8
Abstract

We consider the convergence problem of an inexact Cayley transform method for solving inverse eigenvalue problems with multiple eigenvalues. Under the nonsingularity assumption of the relative generalized Jacobian matrix at the solution C∗, a convergence analysis covering both the distinct and multiple eigenvalues cases is provided and the superlinear convergence is proved. Moreover, numerical experiments are given in the last section and comparisons with the Cayley transform method are made.

KeywordInexact Cayley Transform Method Inverse Eigenvalue Problem Nonlinear Equation
DOI10.1088/0266-5611/31/8/085007
URLView the original
Indexed BySCI
Language英语
WOS Research AreaPhysics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000358554900007
PublisherIOP PUBLISHING LTD
Fulltext Access
Citation statistics
Cited Times [WOS]:8   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Department of Mathematics, Zhejiang Normal University Jinhua, 321004, People’s Republic of China
2.Department of Mathematics, Zhejiang University Hangzhou, 310027, People’s Republic of China
3.Department of Mathematics, University of Macau, Macao, People’s Republic of China
Recommended Citation
GB/T 7714
Shen W.P.,Li C.,Jin X.Q.. An inexact Cayley transform method for inverse eigenvalue problems with multiple eigenvalues[J]. Inverse Problems,2015,31(8).
APA Shen W.P.,Li C.,&Jin X.Q..(2015).An inexact Cayley transform method for inverse eigenvalue problems with multiple eigenvalues.Inverse Problems,31(8).
MLA Shen W.P.,et al."An inexact Cayley transform method for inverse eigenvalue problems with multiple eigenvalues".Inverse Problems 31.8(2015).
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