与八元数相关的矩阵的特征值

4open Pub Date : 2019-01-01 DOI:10.1051/FOPEN/2019014

R. Serôdio, P. Beites, J. Vitória

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引用次数: 1

摘要

在四元数的两个实数矩阵表示的基础上，考虑了一个八元数的伪实数矩阵表示。我们研究了定义在八元数上的一些操作，如果在矩阵表示之后或之前执行这些操作，如何改变矩阵的特征值集。对于研究涉及此类操作的估计算法的研究人员来说，已确定的结果可能会特别感兴趣。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Eigenvalues of matrices related to the octonions

A pseudo real matrix representation of an octonion, which is based on two real matrix representations of a quaternion, is considered. We study how some operations defined on the octonions change the set of eigenvalues of the matrix obtained if these operations are performed after or before the matrix representation. The established results could be of particular interest to researchers working on estimation algorithms involving such operations.

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4open

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