scholarly journals Reduced-rank gradient-based algorithms for generalized coupled Sylvester matrix equations and its applications

2015 ◽  
Vol 70 (8) ◽  
pp. 2049-2062 ◽  
Author(s):  
Huamin Zhang
Keyword(s):  
Matrix Equations ◽  
Reduced Rank ◽  
Sylvester Matrix ◽  
Gradient Based ◽  
Rank Gradient ◽  
Sylvester Matrix Equations

scholarly journals An accelerated Jacobi-gradient based iterative algorithm for solving sylvester matrix equations

Filomat ◽  
2017 ◽  
Vol 31 (8) ◽  
pp. 2381-2390 ◽  
Author(s):  
Zhaolu Tian ◽  
Maoyi Tian ◽  
Chuanqing Gu ◽  
Xiaoning Hao
Keyword(s):  
Theoretical Analysis ◽  
Iterative Algorithm ◽  
Matrix Equations ◽  
Initial Value ◽  
True Solution ◽  
Numerical Examples ◽  
Sylvester Matrix ◽  
Gradient Based ◽  
Sylvester Matrix Equations

In this paper, an accelerated Jacobi-gradient based iterative (AJGI) algorithm for solving Sylvester matrix equations is presented, which is based on the algorithms proposed by Ding and Chen [6], Niu et al. [18] and Xie et al. [25]. Theoretical analysis shows that the new algorithm will converge to the true solution for any initial value under certain assumptions. Finally, three numerical examples are given to verify the eficiency of the accelerated algorithm proposed in this paper.

Parameterized solution to a class of sylvester matrix equations

2010 ◽  
Vol 7 (4) ◽  
pp. 479-483
Author(s):  
Yu-Peng Qiao ◽  
Hong-Sheng Qi ◽  
Dai-Zhan Cheng
Keyword(s):  
Matrix Equations ◽  
Sylvester Matrix ◽  
Sylvester Matrix Equations
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