Moving data window gradient‐based iterative algorithm of combined parameter and state estimation for bilinear systems

2020 ◽  
Vol 30 (6) ◽  
pp. 2413-2429 ◽  
Author(s):  
Siyu Liu ◽  
Feng Ding ◽  
Tasawar Hayat
Keyword(s):  
State Estimation ◽  
Iterative Algorithm ◽  
Bilinear Systems ◽  
Data Window ◽  
Gradient Based

Two-stage gradient-based iterative algorithm for bilinear stochastic systems over the moving data window

2020 ◽  
Vol 357 (15) ◽  
pp. 11021-11041
Author(s):  
Siyu Liu ◽  
Li Xie ◽  
Ling Xu ◽  
Feng Ding ◽  
Ahmed Alsaedi ◽  
...  
Keyword(s):  
Iterative Algorithm ◽  
Stochastic Systems ◽  
Two Stage ◽  
Data Window ◽  
Gradient Based

scholarly journals The optimal convergence factor of the gradient based iterative algorithm for linear matrix equations

Filomat ◽  
2012 ◽  
Vol 26 (3) ◽  
pp. 607-613 ◽  
Author(s):  
Xiang Wang ◽  
Dan Liao
Keyword(s):  
Iterative Algorithm ◽  
Numerical Experiments ◽  
Linear Matrix ◽  
Matrix Equations ◽  
Convergence Factor ◽  
Gradient Based ◽  
Gradient Type ◽  
And Mathematics ◽  
Computers And Mathematics ◽  
Linear Matrix Equations

A hierarchical gradient based iterative algorithm of [L. Xie et al., Computers and Mathematics with Applications 58 (2009) 1441-1448] has been presented for finding the numerical solution for general linear matrix equations, and the convergent factor has been discussed by numerical experiments. However, they pointed out that how to choose a best convergence factor is still a project to be studied. In this paper, we discussed the optimal convergent factor for the gradient based iterative algorithm and obtained the optimal convergent factor. Moreover, the theoretical results of this paper can be extended to other methods of gradient-type based. Results of numerical experiments are consistent with the theoretical findings.

scholarly journals A Fast Gradient-Based Iterative Algorithm for Undersampled Phase Retrieval

2018 ◽  
Vol 54 (4) ◽  
pp. 2086-2090
Author(s):  
Qiang Li ◽  
Lei Huang ◽  
Wei Liu ◽  
Weize Sun ◽  
Peichang Zhang
Keyword(s):  
Iterative Algorithm ◽  
Phase Retrieval ◽  
Gradient Based ◽  
Fast Gradient
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