3 papers
math-ph2016
Discrete-time analysis for the integrable discrete Toda equations and the discrete Lotka-Volterra system
Masato Shinjo, Yoshimasa Nakamura, Masashi Iwasaki +1
The discrete autonomous/non-autonomous Toda equations and the discrete Lotka-Volterra system are important integrable discrete systems in fields such as mathematical physics, mathe…
math-ph2013
An asymptotic expansion of the Casorati determinant and its application to discrete integrable systems
Masato Shinjo, Masashi Iwasaki, Yoshimasa Nakamura
The Hankel determinant appears in the representation of solutions to several integrable systems. Asymptotic expansion of the Hankel determinant thus plays a key role for investigat…
math.NA2012
On Implementation and Evaluation of Inverse Iteration Algorithm with compact WY Orthogonalization
Hiroyuki Ishigami, Kinji Kimura, Yoshimasa Nakamura
A new inverse iteration algorithm that can be used to compute all the eigenvectors of a real symmetric tri-diagonal matrix on parallel computers is developed. The modified Gram-Sch…