Remarks on anti-tridiagonal matrices

Natália Bebiano and Susana Furtado

Applied Mathematics and Computation, 2020, vol. 373, issue C

Abstract: This paper gives a permutation similarity reduction of anti-tridiagonal matrices, with at most two nonzero anti-diagonals, to tridiagonal matrices. Using this reduction and results in the literature for tridiagonal matrices, eigenvalues, eigenvectors and distance to normality of classes of anti-tridiagonal matrices are studied. A numerical example illustrating the discussed topics is provided.

Keywords: Anti-tridiagonal matrix; Distance to normality; Eigenvalues; Permutation similarity; Tridiagonal matrix (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:373:y:2020:i:c:s0096300319310008

DOI: 10.1016/j.amc.2019.125008

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