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Article
Symmetric Integer Matrices Having Integer Eigenvalues
International Journal of Mathematics and Mathematical Sciences
  • Lei Cao, Georgian Court University
  • Selcuk Koyuncu, University of North Georgia
Document Type
Article
Publication Date
10-16-2016
Disciplines
Abstract

We provide characterization of symmetric integer matrices for rank at most 2 that have integer spectrum and give some constructions for such matrices of rank 3. We also make some connection between Hanlon’s conjecture and integer eigenvalue problem.

Comments

©2016 Lei Cao and Selcuk Koyuncu. 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.

ORCID ID
0000-0001-7613-7191
ResearcherID
G-7341-2019
DOI
10.1155/2016/3471438
Citation Information
Lei Cao and Selcuk Koyuncu. "Symmetric Integer Matrices Having Integer Eigenvalues" International Journal of Mathematics and Mathematical Sciences Vol. 2016 Iss. 3471438 (2016) p. 1 - 7 ISSN: 0161-1712
Available at: http://works.bepress.com/lei-cao/23/