Ultradiscrete Lotka-Volterra system computes tropical eigenvalue of symmetric tridiagonal matrices

Akiko Fukuda, Sennosuke Watanabe, Ayumi Hanaoka, Masashi Iwasaki

研究成果: Conference article査読

抄録

Some of authors' recent study shows that the time evolution of the integrable ultradiscrete Toda equation computes eigenvalue of tridiagonal matrices over min-plus algebra, where min-plus algebra is a semiring with two binary operations: ⊕ : = min and ⊗ : = +. In this paper, we rst present a Backlund transformation between the ultradiscrete Toda equation and the ultradiscrete Lotka-Volterra system. Using the Backlund transformation, we show that the ultradiscrete Lotka-Volterra system can also compute eigenvalue of symmetric tridiagonal matrices over min-plus algebra.

本文言語English
論文番号012015
ジャーナルJournal of Physics: Conference Series
1218
1
DOI
出版ステータスPublished - 2019 5 31
イベント3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018 - Surabaya, Indonesia
継続期間: 2018 10 20 → …

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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