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The eigenvalues of a tridiagonal matrix in biogeography
Authors:Boris IgelnikDan Simon
Institution:a BMI Research, Richmond Heights, OH, United States
b Cleveland State University, Cleveland, OH, United States
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.
Keywords:Linear algebra  Biogeography  Biogeography-based optimization  Rational root theorem
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