Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics

Jiang Tongsong; Zhang Zhaozhong; Jiang Ziwu

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Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics

机译：分裂四元线矩阵特征值和特征向量的代数技术

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This paper, by means of complex representation of a split quaternion matrix, studies the problems of right split quaternion eigenvalues and eigenvectors of a split quaternion matrix, and derives algebraic techniques for the right split quaternion eigenvalues and eigenvectors of the split quaternion matrix in split quaternionic mechanics. (C) 2018 Elsevier B.V. All rights reserved.

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《Computer physics communications》 |2018年第2018期|共7页
作者
Jiang Tongsong; Zhang Zhaozhong; Jiang Ziwu;
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作者单位

Heze Univ Coll Math &

Stat Sci Heze 274015 Shandong Peoples R China;

Linyi Univ Coll Math &

Stat Sci Linyi 276005 Shandong Peoples R China;

Linyi Univ Coll Math &

Stat Sci Linyi 276005 Shandong Peoples R China;

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正文语种 eng
中图分类计算机的应用;
关键词
Split quaternions; Split quaternion matrices; Split quaternionic mechanics; Complex representations; Eigenvalues; Eigenvectors;

机译：分裂四元数;分开四元数;分裂四元线;复杂的表示;特征值;特征向量;

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专利

1. Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics [J] . Jiang Tongsong, Zhang Zhaozhong, Jiang Ziwu Computer physics communications . 2018,第期

机译：分裂四元线矩阵特征值和特征向量的代数技术
2. Algebraic techniques for diagonalization of a split quaternion matrix in split quaternionic mechanics [J] . Jiang Tongsong, Jiang Ziwu, Zhang Zhaozhong Journal of Mathematical Physics . 2015,第8期

机译：分裂四元数力学中分裂四元数矩阵对角化的代数技术
3. A Unified Algebraic Technique for Eigenvalues and Eigenvectors in Quaternionic and Split Quaternionic Mechanics [J] . Zhenwei Guo, Gang Wang, Dong Zhang, Journal of Applied Mathematics and Physics . 2019,第9期

机译：四元数和分裂四元数力学中特征值和特征向量的统一代数技术
4. OPS-QFTs: A New Type of Quaternion Fourier Transforms Based on the Orthogonal Planes Split with One or Two General Pure Quaternions [C] . Eckhard Hitzer International Conference of Numerical Analysis and Applied Mathematics . 2011

机译：OPS-QFTS：基于与一个或两个普通纯四元数分开的正交平面的新型四元数傅立叶变换
5. Analysis of functions of split-complex, multicomplex, and split-quaternionic variables and their associated conformal geometries. [D] . Emanuello, John Anthony. 2015

机译：分析拆分复数，复数复数和拆分四元数变量及其相关的保形几何形状。
6. Influence of core design production technique and material selection on fracture behavior of yttria-stabilized tetragonal zirconia polycrystal fixed dental prostheses produced using different multilayer techniques: split-file over-pressing and manually built-up veneers [O] . Deyar Jallal Hadi Mahmood, Ewa H Linderoth, Ann Wennerberg, 2016

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7. A Unified Algebraic Technique for Eigenvalues and Eigenvectors in Quaternionic and Split Quaternionic Mechanics [O] . Zhenwei Guo, Gang Wang, Dong Zhang, 2019

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Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics

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