The discrete Lotka-Volterra system computes singular values

Authors
Tsujimoto, S Nakamura, Y Iwasaki, M
Citation
S. Tsujimoto et al., The discrete Lotka-Volterra system computes singular values, INVERSE PR, 17(1), 2001, pp. 53-58
Citations number
12
Categorie Soggetti
Physics
Journal title
INVERSE PROBLEMS
ISSN journal
02665611 → ACNP
Volume
17
Issue
1
Year of publication
2001
Pages
53 - 58
Database
ISI
SICI code
0266-5611(200102)17:1<53:TDLSCS>2.0.ZU;2-M
Abstract
It is shown that a solution of the discrete Lotka-Volterra system converges exponentially to singular values of given rectangular matrices. To prove t his fact we use an asymptotic behaviour of the tau-function solution and a Lax form of the discrete Lotka-Volterra system.