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

• Autorzy: Qassem M. Al-Hassan , Mowaffaq Hajja
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 15B99: None of the above, but in this section
• 15A18: Eigenvalues, singular values, and eigenvectors
• 92D25: Population dynamics (general)
• 92D40: Ecology

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2015
• Tom: 42
• Numer: 1
• Strony: 23-27

Daty

wydano

2015

Twórcy

autor

Qassem M. Al-Hassan

• Department of Mathematics, Yarmouk University, Irbid, Jordan

autor

Mowaffaq Hajja

• Department of Mathematics, Yarmouk University, Irbid, Jordan

Identyfikatory

DOI

10.4064/am42-1-3