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Segre Characteristic Equivalence

Segre Characteristic Equivalence

来源:Arxiv_logoArxiv
英文摘要

Given only the dimension, $n$, of a square matrix $A \in M(n,\mathbb{C})$, how many Segre Characteristic equivalent matrices are there? Jordan Normal Form Theorem states that any linear operator over $\mathbb{C}$ is similar to a matrix in Jordan Normal Form. As such, this is a question of counting the number of possible Jordan Normal Forms for a given dimension. So, equivalently, how many Jordan Normal Forms can an $n\times n$ matrix possibly have?

Jessie Pitsillides

数学

Jessie Pitsillides.Segre Characteristic Equivalence[EB/OL].(2025-06-01)[2025-07-16].https://arxiv.org/abs/2506.12065.点此复制

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