Please use this identifier to cite or link to this item: https://hdl.handle.net/1822/69416

TitleEigenpairs of Wilkinson Matrices
Author(s)Ferreira, Carla
Parlett, Beresford
KeywordsWilkinson matrix
Eigensystem
Persymmetry
Issue date21-Sep-2020
PublisherSociety for Industrial and Applied Mathematics (SIAM)
JournalSIAM Journal on Matrix Analysis and Applications
Abstract(s)In the 1950s J. H. Wilkinson introduced two families of symmetric tridiagonal integer matrices. Most of the eigenvalues are close to diagonal entries. We develop the structure of their eigenvectors in a natural way which reveals that these eigenvectors all look the same to the naked eye. The shape of the envelopes is like twin peaks (or a badly dented bell curve). We also analyze the eigenvectors of the remaining noninteger eigenvalues.
TypeArticle
URIhttps://hdl.handle.net/1822/69416
DOI10.1137/20M1327343
ISSN0895-4798
e-ISSN1095-7162
Publisher versionhttps://doi.org/10.1137/20M1327343
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

Files in This Item:
File Description SizeFormat 
SIMAX M132734.pdf764,12 kBAdobe PDFView/Open

This item is licensed under a Creative Commons License Creative Commons

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