3 papers
math.NA2023
An isospectral transformation between Hessenberg matrix and Hessenberg-bidiagonal matrix pencil without using subtraction
Katsuki Kobayashi, Kazuki Maeda, Satoshi Tsujimoto
We introduce an eigenvalue-preserving transformation algorithm from the generalized eigenvalue problem by matrix pencil of the upper and the lower bidiagonal matrices into a standa…
nlin.SI2022
Generalization of the -BBS and the Schensted insertion algorithm
Katsuki Kobayashi, Satoshi Tsujimoto
The -BBS is the family of solitonic cellular automata obtained via the ultradiscretization of the elementary Toda orbits, which is a parametrized family of integrable systems un…
math-ph2020
The ultradiscrete Toda lattice and the Smith normal form of bidiagonal matrices
Katsuki Kobayashi, Satoshi Tsujimoto
The discrete Toda lattice preserves the eigenvalues of tridiagonal matrices, and convergence of dependent variables to the eigenvalues can be proved under appropriate conditions. W…