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TitleEigenpairs of Wilkinson Matrices
Author(s)Ferreira, Carla
Parlett, Beresford
KeywordsWilkinson matrix
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.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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