Please use this identifier to cite or link to this item: https://hdl.handle.net/1822/11391

TitleOn inverse eigenvalue problems for block Toeplitz matrices with Toeplitz blocks
Author(s)Zhang Yulin
Liu Zhongyun
Ferreira, Carla
Ralha, Rui
KeywordsBlock Toeplitz matrix
Newton method
Inverse eigenvalue problem
Generalized K-centrosymmetric matrix
Issue date2010
PublisherElsevier
JournalApplied Mathematics and Computation
Citation"Applied Mathematics and Computation". ISSN 0096-3003. 216 (2010) 1819-1830.
Abstract(s)We propose an algorithm for solving the inverse eigenvalue problem for real symmetric block Toeplitz matrices with symmetric Toeplitz blocks. It is based upon an algorithm which has been used before by others to solve the inverse eigenvalue problem for general real symmetric matrices and also for Toeplitz matrices. First we expose the structure of the eigenvectors of the so-called generalized centrosymmetric matrices. Then we explore the properties of the eigenvectors to derive an efficient algorithm that is able to deliver a matrix with the required structure and spectrum. We have implemented our ideas in a Matlab code. Numerical results produced with this code are included.
TypeArticle
URIhttps://hdl.handle.net/1822/11391
DOI10.1016/j.amc.2009.12.023
ISSN0096-3003
Publisher versionwww.elsevier.com
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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