The eigenvalues of a tridiagonal matrix in biogeography

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摘要

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.

论文关键词：Linear algebra,Biogeography,Biogeography-based optimization,Rational root theorem

论文评审过程：Available online 12 June 2011.

论文官网地址：https://doi.org/10.1016/j.amc.2011.05.054