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nlin.SI2023★ 1 cited
Matrix similarity transformations derived from extended -analogues of the Toda equation and Lotka-Volterra system
R. Watanabe, M. Shinjo, M. Iwasaki
The -Toda equation is derived from replacing ordinary derivatives with -derivatives in the famous Toda equation. In this paper, we associate an extension of the -Toda equa…
nlin.SI2022
Application of the extended -discrete Toda equation to computing eigenvalues of Hessenberg totally nonnegative matrices
R. Watanabe, M. Shinjo, Y. Yamamoto +1
The Toda equation is one of the most famous integrable systems, and its time-discretization is simply the recursion formula of the quotient-difference (qd) algorithm for computing…