Algebraic techniques for least squares problem over generalized quaternion algebras: A unified approach in quaternionic and split quaternionic theory-Reference-Cited by-同舟云学术

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Algebraic techniques for least squares problem over generalized quaternion algebras: A unified approach in quaternionic and split quaternionic theory

Published:2019-12-02 Issue:3 Volume:43 Page:1124-1137
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Meth Appl Sci

Author:

Wang Gang¹²^ORCID,Guo Zhenwei²,Zhang Dong³,Jiang Tongsong¹²³

Affiliation:

1. School of Mathematics and StatisticsHeze University Heze 274015 Shandong PR China

2. School of Mathematical ScienceLiaocheng University Liaocheng 252000 Shandong PR China

3. College of Mathematics and Systems ScienceShandong University of Science and Technology Qingdao 266590 Shandong PR China

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shandong Province

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.5917

Reference20 articles.

1. On a new species of imaginary quantities connected with a theory of quaternions;Hamilton WR;Proc Roy Irish Acad,1843

2. Non-Hermitian Quantum Mechanics

3. On systems of algebra involving more than one imaginary; and on equations of the fifth degree;Cockle J;Philos Mag,1849

4. Split quaternion matrices

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1. An effective real structure-preserving algorithm for the quaternion indefinite least squares problem;Numerical Algorithms;2024-09-12

2. Solution to Several Split Quaternion Matrix Equations;Mathematics;2024-05-30

3. Real and complex solutions of the total least squares problem in commutative quaternionic theory;Computational and Applied Mathematics;2024-05-10

4. Algebraic algorithms for a class of Schrödinger equations in split quaternionic mechanics;Mathematical Methods in the Applied Sciences;2024-01-29

5. On singular value decomposition for split quaternion matrices and applications in split quaternionic mechanics;Journal of Computational and Applied Mathematics;2024-01

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