التفاصيل البيبلوغرافية
| العنوان: |
A New Method of Solving Special Solutions of Quaternion Generalized Lyapunov Matrix Equation |
| المؤلفون: |
Zhihong Liu, Ying Li, Xueling Fan, Wenxv Ding |
| المصدر: |
Symmetry; Volume 14; Issue 6; Pages: 1120 |
| بيانات النشر: |
Multidisciplinary Digital Publishing Institute |
| سنة النشر: |
2022 |
| المجموعة: |
MDPI Open Access Publishing |
| مصطلحات موضوعية: |
quaternion, Lyapunov equation, semi-tensor product of matrices, H -representation, (skew) bisymmetric matrix |
| الوصف: |
In this paper, we study the bisymmetric and skew bisymmetric solutions of quaternion generalized Lyapunov equation. With the help of semi-tensor product of matrices, some new conclusions on the expansion rules of row and column of matrix product on quaternion matrices are proposed and applied to the calculation of quaternion matrix equation. Using the H-representation method, the independent elements are extracted according to the structural characteristics of bisymmetric matrix and skew bisymmetric matrix, so as to simplify the operation process. Finally, it is compared with the real vector representation method of quaternion matrix equation to illustrate the effectiveness and superiority of the proposed method. |
| نوع الوثيقة: |
text |
| وصف الملف: |
application/pdf |
| اللغة: |
English |
| Relation: |
Mathematics and Symmetry/Asymmetry; https://dx.doi.org/10.3390/sym14061120 |
| DOI: |
10.3390/sym14061120 |
| الاتاحة: |
https://doi.org/10.3390/sym14061120 |
| Rights: |
https://creativecommons.org/licenses/by/4.0/ |
| رقم الانضمام: |
edsbas.B359843A |
| قاعدة البيانات: |
BASE |