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A simple derivation of the eigenvalues of a tridiagonal matrix arising in biogeography

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Al-Hassan Q., Hajja M.

Applicationes Mathematicae

2015

tom 42

nr 1

23-27

In investigating a certain optimization problem in biogeography, Simon [IEEE Trans. Evolutionary Comput. 12 (2008), 702-713] encountered a certain specially structured tridiagonal matrix and made a conjecture regarding its eigenvalues. A few years later, the validity of the conjecture was established by Igelnik and Simon [Appl. Math. Comput. 218 (2011), 195-201]. In this paper, we give another proof of this conjecture that is much shorter, almost computation-free, and does not resort to the eigenvectors of the matrix.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Al-Hassan Q.

1 Hajja M.

1 2015

Wyniki wyszukiwania

A simple derivation of the eigenvalues of a tridiagonal matrix arising in biogeography