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.
|Journal||Journal of Physics: Conference Series|
|Publication status||Published - 2019 May 31|
|Event||3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018 - Surabaya, Indonesia|
Duration: 2018 Oct 20 → …
ASJC Scopus subject areas
- Physics and Astronomy(all)
Ultradiscrete Lotka-Volterra system computes tropical eigenvalue of symmetric tridiagonal matrices. / Fukuda, Akiko; Watanabe, Sennosuke; Hanaoka, Ayumi; Iwasaki, Masashi.In: Journal of Physics: Conference Series, Vol. 1218, No. 1, 012015, 31.05.2019.
Research output: Contribution to journal › Conference article