arXiv Open Access 2025

An Exact Algorithm for Computing the Structure of Jordan Blocks

Shinichi Tajima Katsuyoshi Ohara Akira Terui

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Abstrak

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.

Topik & Kata Kunci

cs.SC math.AC

Penulis (3)

Shinichi Tajima

Katsuyoshi Ohara

Akira Terui

Format Sitasi

APA MLA BibTeX

Tajima, S., Ohara, K., Terui, A. (2025). An Exact Algorithm for Computing the Structure of Jordan Blocks. https://arxiv.org/abs/2510.03103

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓