A note on quaternion matrices and split quaternion matrix pencils

被引：0
作者：
Istkhar Ali
机构：
[1] Indian Institute of Technology Indore,School of Basic Sciences, Discipline of Mathematics
来源：
Journal of Applied Mathematics and Computing | 2018年 / 58卷
关键词：
Quaternion matrix; Split quaternion matrix; Left and right eigenvalues; Gerschgorin theorems; 12E15; 34L15; 15A18; 15A66;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, localization theorems for left and right eigenvalues of a quaternion matrix are presented. Some differences between quaternion matrices and split quaternion matrices are summarized. A counter example for Gerschgorin theorems for left and right eigenvalues of a split quaternion matrix is given. Finally, a method for finding right eigenvalues of a split quaternion matrix pencil is presented.
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页码：323 / 334
页数：11
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