"The Eigenvalues of a Tridiagonal Matrix in Biogeography" by Boris Igelnik

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The Eigenvalues of a Tridiagonal Matrix in Biogeography

Applied Mathematics and Computation

Boris Igelnik, BMI Research
Daniel J. Simon, Cleveland State University

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Document Type

Article

Publication Date

9-1-2011

Disciplines

Algebra and
Electrical and Computer Engineering

Abstract

We derive the eigenvalues of a tridiagonal matrix with a special structure. A conjecture about the eigenvalues was presented in a previous paper, and here we prove the conjecture. The matrix structure that we consider has applications in biogeography theory.

DOI

10.1016/j.amc.2011.05.054

Version

Postprint

Publisher's Statement

Creative Commons License

Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International

Citation Information

Igelnik, B., & Simon, D. (2011). The eigenvalues of a tridiagonal matrix in biogeography. Applied Mathematics and Computation, 218, 1, 195-201.