Please use this identifier to cite or link to this item:

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
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.
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

Files in This Item:
File Description SizeFormat 
RSBT_final.pdf223,97 kBAdobe PDFView/Open

Partilhe no FacebookPartilhe no TwitterPartilhe no DeliciousPartilhe no LinkedInPartilhe no DiggAdicionar ao Google BookmarksPartilhe no MySpacePartilhe no Orkut
Exporte no formato BibTex mendeley Exporte no formato Endnote Adicione ao seu ORCID