The Moore-Penrose inverses of matrices over quaternion polynomial rings

被引：8

作者：

Huang, Liji ^{[2
]}

Wang, Qing-Wen ^{[1
]}

Zhang, Yang ^{[2
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai, Peoples R China

[2] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 475卷

基金：

加拿大自然科学与工程研究理事会; 上海市自然科学基金; 中国国家自然科学基金;

关键词：

Quaternion polynomial matrix; Moore-Penrose inverse; Leverrier-Faddeev algorithm; GENERALIZED INVERSE; STABILITY; SYSTEMS;

D O I：

10.1016/j.laa.2015.02.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define and discuss the Moore-Penrose inverses of matrices with quaternion polynomial entries. When the Moore-Penrose inverses exist, we prove that Leverrier-Faddeev algorithm works for these matrices by using generalized characteristic polynomials. Furthermore, after studying interpolations for quaternion polynomials, we give an efficient algorithm to compute the Moore-Penrose inverses. We developed a Maple package for quaternion polynomial matrices. All algorithms in this paper are implemented, and tested on examples. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：45 / 61

页数：17

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