4 papers
Tropical linearization and stability analysis of discrete dynamical systems at the tropical origin }
Yuki Nishida, Sennosuke Watanabe, Yoshihide Watanabe
The tropical semiring is a semiring of extended real numbers, where the operations of `max' and `+' replace the usual addition and multiplication, respectively. Difference equation…
Combinatorial Algorithm for Tropical Linearly Factorized Programming
Yuki Nishida
The tropical semiring is an algebraic system with addition ``'' and multiplication ``''. As well as in conventional algebra, linear programming in the tropical semiring ha…
Transformation from integral operator with separable kernel to matrix in eigenvalue problem
Soma Hirai, Ryoto Watanabe, Yuki Nishida +1
This paper investigates the eigenvalue problem of integral operators whose kernels can be expressed as a finite sum of pairwise products of single-variable functions, making them s…
Algorithm for the CSR expansion of max-plus matrices using the characteristic polynomial
Yuki Nishida
Max-plus algebra is a semiring with addition and multiplication . It is applied in cases, such as combinatorial optimization and discrete…