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arXiv · 2510.03103

An Exact Algorithm for Computing the Structure of Jordan Blocks

Shinichi Tajima·Katsuyoshi Ohara·Akira Terui
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Abstract

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 Jordan chains of a matrix with exact computation. However, for deriving just the structure of Jordan chains, the algorithm can be reduced to increase its efficiency. We propose a modification of the algorithm for that purpose. Results of numerical experiments are given.

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Shinichi Tajima, Katsuyoshi Ohara, Akira Terui. 2025-10-03. An Exact Algorithm for Computing the Structure of Jordan Blocks. https://arxiv.org/abs/2510.03103

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