The discrete hungry Lotka-Volterra system and a new algorithm for computing matrix eigenvalues

Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki, Yoshimasa Nakamura

研究成果: Article査読

14 被引用数 (Scopus)

抄録

The discrete hungry Lotka-Volterra (dhLV) system is a generalization of the discrete Lotka-Volterra (dLV) system which stands for a prey-predator model in mathematical biology. In this paper, we show that (1) some invariants exist which are expressed by dhLV variables and are independent from the discrete time and (2) a dhLV variable converges to some positive constant or zero as the discrete time becomes sufficiently large. Some characteristic polynomial is then factorized with the help of the dhLV system. The asymptotic behaviour of the dhLV system enables us to design an algorithm for computing complex eigenvalues of a certain band matrix.

本文言語English
論文番号015007
ジャーナルInverse Problems
25
1
DOI
出版ステータスPublished - 2009 3月 25
外部発表はい

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • 信号処理
  • 数理物理学
  • コンピュータ サイエンスの応用
  • 応用数学

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