Piecewise defined recursive sequences with application in matrix theory
Abstract
In this paper we determine periodicity and boundedness of orbits of a piecewise defined difference equation. A corollary is that the real eigenvalues of certain arbitrarily large, sparse matrices may be computed exactly.
Copyright © 2012 Saleem Al-Ashhab, James Guyker. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. Al-Ashhab, J. Guyker, Piecewise defined recursive sequences with application in matrix theory, J. Math. Comput. Sci. 2 (2012), 793–809.
BibTeX
@article{Al-Ashhab2012,
author = {Al-Ashhab, Saleem and Guyker, James},
title = {Piecewise defined recursive sequences with application in matrix theory},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {793--809},
doi = {}
}