论文标题
Quaternionic特征值的多重性的等效定义
An equivalent definition for multiplicities of a quaternionic eigenvalue
论文作者
论文摘要
在本文中，我们介绍了两个定义定义的定义和几何二次右特征值的定义。该定义等同于经典的定义。但是，与通常的定义不同，不需要Quaternion矩阵的root子空间和Jordan形式的概念，并且可以轻松证明所有属性。
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.
