Cramer's Rules for Some Hermitian Coquaternionic Matrix Equations

被引：12

作者：

Kyrchei, Ivan ^{[1
]}

机构：

[1] NAS Ukraine, Pidstrygach Inst Appl Problems Mech & Math, Str Naukova 3b, UA-79060 Lvov, Ukraine

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2017年 / 27卷 / 03期

关键词：

Quaternion algebra; Split quaternion; Coquaternion; Non-commutative determinant; System of linear equations; Cramer's rule; Matrix equation; QUATERNION SKEW FIELD; DETERMINANTAL REPRESENTATIONS; LINEAR-EQUATIONS; DRAZIN INVERSE; ROTATIONS; FORMULAS;

D O I：

10.1007/s00006-016-0751-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using row-column determinants previously introduced by the author, properties of the determinant of a Hermitian matrix are investigated, and determinantal representations of the inverse of a Hermitian coquaternionic matrix are given. With their help, Cramer's rules for left and right systems of linear equations with Hermitian coquaternionic coefficient matrices are obtained. Cramer's rule for a two-sided coquaternionic matrix equation AXB = D (with Hermitian A, B) is given as well.

引用

页码：2509 / 2529

页数：21

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