On solutions of quaternion matrix equations XF # AX = BY and XF # A = BY-Reference-Cited by-同舟云学术

On solutions of quaternion matrix equations XF # AX = BY and XF # A = BY

Published:2012-09 Issue:5 Volume:32 Page:1967-1982
ISSN:0252-9602
Container-title:Acta Mathematica Scientia
language:en
Short-container-title:Acta Mathematica Scientia

Author:

Caiqin Song,Guoliang Chen,Xiaodong Wang

Publisher

Elsevier BV

Subject

General Physics and Astronomy,General Mathematics

Reference31 articles.

1. Observability of quaternionic quantum mechanics;Davies;Physical Review A,1992

2. Vetor phase correlation;Sangwine;Electron Letter,2001

3. Bihan N L, Sangwine S J. Color image decomposition using quaternion singular value decomposition. IEEE International Conference on Visual Information Engineering of Quaternion (VIE), UK: Guidford, 2003

4. Quaternionic Dirac equation;Davies;Physical Review D,1990

5. Quaternionic quantum field theory;Adler;Comm Math Phys,1986

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Quaternion Two-Sided Matrix Equations with Specific Constraints;Matrix and Operator Equations and Applications;2023

2. Real representation for solving reduced biquaternion matrix equations XF−AX=BY$$ XF- AX&#x0003D; BY $$ and XF−AX˜=BY$$ XF-A\tilde{X}&#x0003D; BY $$;Mathematical Methods in the Applied Sciences;2022-05-14

3. A Real Method for Solving Quaternion Matrix Equation $$\mathbf{X}-\mathbf{A}{\hat{\mathbf{X}}}{} \mathbf{B} = \mathbf{C}$$ Based on Semi-Tensor Product of Matrices;Advances in Applied Clifford Algebras;2021-10-26

4. Explicit Determinantal Representation Formulas ofW-Weighted Drazin Inverse Solutions of Some Matrix Equations over the Quaternion Skew Field;Mathematical Problems in Engineering;2016

5. A Real Representation Method for Solving Yakubovich-j-Conjugate Quaternion Matrix Equation;Abstract and Applied Analysis;2014