On Hyperbolic Split Quaternions and Hyperbolic Split Quaternion Matrices

被引：6
|
作者：
Ozyurt, Gozde [1 ]
Alagoz, Yasemin [1 ]
机构：
[1] Yildiz Tech Univ, Fac Arts & Sci, Dept Math, TR-34220 Istanbul, Turkey
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2018年 / 28卷 / 05期
关键词：
Hyperbolic split quaternion; Hyperbolic split quaternion matrix; Primary; 15B33; Secondary; 11R52;
D O I：
10.1007/s00006-018-0907-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this study is to investigate some properties of 2x2 hyperbolic split quaternion matrices. To verify this, we use matrices corresponding to the basis of hyperbolic split quaternions. Moreover, we give 4 x 4 hyperbolic matrix representation and 8 x 8 real matrix representation of a hyperbolic split quaternion.
引用
收藏
页数：11
相关论文
共 50 条
  • [31] Split Fibonacci Quaternions
    Akyigit, Mahmut
    Kosal, Hidayet Huda
    Tosun, Murat
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2013, 23 (03) : 535 - 545
  • [32] Involutions of Complexified Quaternions and Split Quaternions
    Murat Bekar
    Yusuf Yaylı
    Advances in Applied Clifford Algebras, 2013, 23 : 283 - 299
  • [33] QUANTUM SPLIT QUATERNIONS
    Ozavsar, Muttalip
    Ozkan, Erdogan Mehmet
    JOURNAL OF SCIENCE AND ARTS, 2022, (04): : 1003 - 1010
  • [34] A nonlinear flux split method for hyperbolic conservation laws
    Stiriba, Y
    JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 176 (01) : 20 - 39
  • [35] A New Polar Representation for Split and Dual Split Quaternions
    Atasoy, Ali
    Ata, Erhan
    Yayli, Yusuf
    Kemer, Yasemin
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (03) : 2307 - 2319
  • [36] A New Polar Representation for Split and Dual Split Quaternions
    Ali Atasoy
    Erhan Ata
    Yusuf Yayli
    Yasemin Kemer
    Advances in Applied Clifford Algebras, 2017, 27 : 2307 - 2319
  • [37] The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations
    Hitzer, Eckhard
    Sangwine, Stephen J.
    QUATERNION AND CLIFFORD FOURIER TRANSFORMS AND WAVELETS, 2013, : 15 - 39
  • [38] Consimilarity of quaternions and coneigenvalues of quaternion matrices
    Ling, Si-Tao
    Cheng, Xue-Han
    Jiang, Tong-Song
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 270 : 984 - 992
  • [39] On geometric interpretations of split quaternions
    Ozturk, Iskender
    Ozdemir, Mustafa
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (01) : 408 - 422
  • [40] ON BACKLUND TRANSFORMATIONS WITH SPLIT QUATERNIONS
    Sariaydin, Muhammed Talat
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2020, 35 (02): : 423 - 435
12345