9 citations · 19 across the 12 of their papers we have counts for
13 papers
An Exact Algorithm for Computing the Structure of Jordan Blocks
Shinichi Tajima, Katsuyoshi Ohara, Akira Terui
An efficient method is proposed for computing the structure of Jordan blocks of a matrix of integers or rational numbers by exact computation. We have given a method for computing…
The monodromy representation of a hypergeometric system in variables of rank
Jyoichi Kaneko, Keiji Matsumoto, Katsuyoshi Ohara +1
We study the monodromy representation of the hypergeometric system in variables of rank with parameters and . This system can be regar…
A system of hypergeometric differential equations in variables of rank
Jyoichi Kaneko, Keiji Matsumoto, Katsuyoshi Ohara +1
We define a hypergeometric series in variables with parameters, which reduces to the generalized hypergeometric series when , and to Lauricella's hy…
Exact Algorithms for Computing Generalized Eigenspaces of Matrices via Jordan-Krylov Basis
Shinichi Tajima, Katsuyoshi Ohara, Akira Terui
An effective exact method is proposed for computing generalized eigenspaces of a matrix of integers or rational numbers. Keys of our approach are the use of minimal annihilating po…
An algorithm for computing Grothendieck local residues II --- general case ---
Katsuyoshi Ohara, Shinichi Tajima
Grothendieck local residue is considered in the context of symbolic computation. Based on the theory of holonomic D-modules, an effective method is proposed for computing Grothendi…
Fast Algorithms for Computing Eigenvectors of Matrices via Pseudo Annihilating Polynomials
Shinichi Tajima, Katsuyoshi Ohara, Akira Terui
An efficient algorithm for computing eigenvectors of a matrix of integers by exact computation is proposed. The components of calculated eigenvectors are expressed as polynomials i…