A new method based on semi-tensor product of matrices for solving Generalized Lyapunov Equation on the quaternion skew-filed

2021 ◽  
Author(s):  
Dong Wang ◽  
Ying Li ◽  
Wenxv Ding
Keyword(s):  
Tensor Product ◽  
Lyapunov Equation ◽  
New Method ◽  
Generalized Lyapunov Equation ◽  
Product Of Matrices

scholarly journals PHSS Iterative Method for Solving Generalized Lyapunov Equations

Mathematics ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 38 ◽  
Author(s):  
Shi-Yu Li ◽  
Hai-Long Shen ◽  
Xin-Hui Shao
Keyword(s):  
Iterative Method ◽  
Iteration Method ◽  
Numerical Experiments ◽  
Lyapunov Equation ◽  
New Method ◽  
New Methods ◽  
Generalized Lyapunov Equation ◽  
Improvement Effect ◽  
Hss Iteration ◽  
Hss Iteration Method

Based on previous research results, we propose a new preprocessing HSS iteration method (PHSS) for the generalized Lyapunov equation. At the same time, the corresponding inexact PHSS algorithm (IPHSS) is given from the angle of application. All the new methods presented in this paper have given the corresponding convergence proof. The numerical experiments are carried out to compare the new method with the existing methods, and the improvement effect is obvious. The feasibility and effectiveness of the proposed method are proved from two aspects of theory and calculation.

scholarly journals PHSS Iterative Method for Solving Generalized Lyapunov Equations

2018 ◽  
Author(s):  
Shi-Yu Li ◽  
Hai-Long Shen ◽  
Xin-Hui Shao
Keyword(s):  
Iterative Method ◽  
Iteration Method ◽  
Numerical Experiments ◽  
Lyapunov Equation ◽  
New Method ◽  
New Methods ◽  
Generalized Lyapunov Equation ◽  
Improvement Effect ◽  
Hss Iteration ◽  
Hss Iteration Method

Based on previous research results, we propose a new preprocessing HSS iteration method (PHSS) for the generalized Lyapunov equation. At the same time, the corresponding inexact PHSS algorithm (IPHSS) is given from the angle of application. All the new methods presented in this paper have given the corresponding convergence proof. The numerical experiments are carried out to compare the new method with the existing methods, and the improvement effect is obvious. The feasibility and effectiveness of the proposed method are proved from two aspects of theory and calculation.

Algebraic method of simplifying Boolean networks using semi‐tensor product of Matrices

2019 ◽  
Vol 21 (6) ◽  
pp. 2569-2577 ◽  
Author(s):  
Yongyi Yan ◽  
Jumei Yue ◽  
Zengqiang Chen
Keyword(s):  
Tensor Product ◽  
Algebraic Method ◽  
Boolean Networks ◽  
Product Of Matrices

A new semi-tensor product of matrices

2019 ◽  
Vol 17 (1) ◽  
pp. 4-12
Author(s):  
Daizhan Cheng ◽  
Zequn Liu
Keyword(s):  
Tensor Product ◽  
Product Of Matrices

Calculation of Siphons and Minimal Siphons in Petri Nets Based on Semi-Tensor Product of Matrices

2017 ◽  
Vol 47 (3) ◽  
pp. 531-536 ◽  
Author(s):  
Xiaoguang Han ◽  
Zengqiang Chen ◽  
Zhongxin Liu ◽  
Qing Zhang
Keyword(s):  
Tensor Product ◽  
Petri Nets ◽  
Product Of Matrices
Sign in / Sign up

Export Citation Format

Share Document