2x2 Matrix Representation Forms and Inner Relationships of Split Quaternions

被引：0

作者：

Ni, Qiu-Ying ^{[1
,2
]}

Ding, Jin-Kou ^{[2
]}

Cheng, Xue-Han ^{[3
]}

Jiao, Ying-Nan ^{[4
]}

机构：

[1] Beijing Univ Posts & Telecommun, State Key Lab Networking & Switching Technol, Beijing, Peoples R China

[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

[3] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Peoples R China

[4] Natl Comp Network & Informat Secur Adm Ctr, Beijing 100031, Peoples R China

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2019年 / 29卷 / 02期

关键词：

Split quaternions; Isomorphic; Inner relationships; Hamilton quaternions;

D O I：

10.1007/s00006-019-0951-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes a 2x2 real matrix isomorphic representation form of split quaternions and a 2mx2n real matrix isomorphic representation form of mxn split quaternion matrices. In particular, we highlighted the inner relationships among the existing different 2x2 matrix representation forms of split quaternions. Furthermore, we studied the inner relationships among different 2x2 matrix representation forms of Hamilton quaternions as an application. The forms and relationships discussed in this paper can simplify the computation and make split quaternions get extensive applications.

引用

页数：12

共 50 条

[21] Binary fluid convection as a 2x2 matrix problem
Tuckerman, LS
INSTABILITIES AND NONEQUILIBRIUM STRUCTURES IX, 2004, 9 : 353 - 359
[22] 2×2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${2\times 2}$$\end{document} Matrix Representation Forms and Inner Relationships of Split Quaternions
Qiu-Ying Ni
Jin-Kou Ding
Xue-Han Cheng
Ying-Nan Jiao
Advances in Applied Clifford Algebras, 2019, 29 (2)
[23] A note on the representation for the Drazin inverse of 2x2 block matrices
Cvetkovic-Ilic, Dragana S.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 429 (01) : 242 - 248
[24] PREPARATION OF CIS-[CR(PN)2X2]X AND CIS-[CR(TM)2X2]X COMPLEXES BY THERMAL MATRIX METHOD
WENDLANDT, WW
SVEUM, LK
JOURNAL OF INORGANIC & NUCLEAR CHEMISTRY, 1967, 29 (04): : 975 - +
[25] A FACTORIZATION OF AN INTEGRAL 2X2 MATRIX VIA A RATIONAL METHOD
TAUSSKY, O
MONATSHEFTE FUR MATHEMATIK, 1986, 102 (01): : 79 - 83
[26] The canonical correlations of a 2x2 block matrix with given eigenvalues
Drury, SW
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 354 (1-3) : 103 - 117
[27] Completing a symmetric 2x2 block matrix and its inverse
Hua, D
LINEAR ALGEBRA AND ITS APPLICATIONS, 1996, 235 (235) : 235 - 245
[28] Incentive monotonicity and equilibrium selection in 2x2 matrix games
Elberfeld, W
JOURNAL OF ECONOMICS-ZEITSCHRIFT FUR NATIONALOKONOMIE, 1997, 65 (03): : 279 - 290
[29] MONOTONIC MINIMAX ESTIMATORS OF A 2X2 COVARIANCE-MATRIX
PERRON, F
CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 1992, 20 (04): : 441 - 449
[30] Some algebras similar to the 2x2 Jordanian matrix algebra
Gaddis, Jason
Price, Kenneth L.
COMMUNICATIONS IN ALGEBRA, 2017, 45 (05) : 2091 - 2104

← 1 2 3 4 5 →