On simple bounds for eigenvalues of symmetric tridiagonal matrices

How much can be said about the location of the eigenvalues of a symmetric tridiagonal matrix just by looking at its diagonal entries? We use classical results on the eigenvalues of symmetric matrices to show that the diagonal entries are bounds for some of the eigenvalues regardless of the size of t...

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Bibliographic Details
Main Author: Ralha, Rui (author)
Format: article
Language:por
Published: 2013
Subjects:
Online Access:https://revistas.rcaap.pt/boletimspm/article/view/15353
Country:Portugal
Oai:oai:ojs.revistas.rcaap.pt:article/15353