2 papers
cs.SC2025
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…
math.RA2025
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…