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arXiv · 2212.10195

An equivalent definition for multiplicities of a quaternionic eigenvalue

Stefano Spessato
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Abstract

In this paper we introduce two definitions for algebraic and geometric multiplicities of a quaternion right eigenvalue. This definitions are equivalent to the classical ones. However, differently from the usual definitions, the notions of root subspace and Jordan form of a quaternion matrix are not required and all the properties can be proved easily.

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Stefano Spessato. 2022-12-20. An equivalent definition for multiplicities of a quaternionic eigenvalue. https://arxiv.org/abs/2212.10195

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