An algebraic algorithm for the diagonalization of a biquaternion matrix in the biquaternionic mechanics

被引：0

作者：

Zhang, Dong ^{[1
]}

Jiang, Tongsong ^{[2
,3
]}

Guo, Zhenwei ^{[1
]}

Vasil'ev, V. I. ^{[1
]}

机构：

[1] North Eastern Fed Univ, Inst Math & Informat Sci, Yakutsk 677000, Russia

[2] Shandong Xiandai Univ, Sch Elect Informat, Jinan 250104, Shandong, Peoples R China

[3] Linyi Univ, Sch Math & Stat, Linyi 276005, Shandong, Peoples R China

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 04期

关键词：

Biquaternion; Biquaternion matrix; Complex representation; Diagonalization; QUATERNION; COMPLEX;

D O I：

10.1007/s40314-024-02739-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Biquaternion algebra is an algebraic structure originating from a complex number and has mainly been used in quantum mechanics, special and general relativity, classical, relativistic, and covariant electrodynamics, and signal processing. In this paper, the problem of the diagonalization of a biquaternion matrix is studied, by means of a complex representation of a biquaternion matrix, and an algebraic algorithm for the diagonalization of a biquaternion matrix is presented. In addition, numerical examples demonstrate the effectiveness of the algebraic algorithm.

引用

页数：9

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