Iterative algorithms for discrete-time periodic Sylvester matrix equations and its application in antilinear periodic system

2021 ◽  
Author(s):  
Wenli Wang ◽  
Caiqin Song
Keyword(s):  
Discrete Time ◽  
Periodic System ◽  
Iterative Algorithms ◽  
Matrix Equations ◽  
Sylvester Matrix ◽  
Sylvester Matrix Equations ◽  
Time Periodic

Finding solutions for periodic discrete-time generalized coupled Sylvester matrix equations via the generalized BCR method

2016 ◽  
Vol 40 (2) ◽  
pp. 647-656 ◽  
Author(s):  
Masoud Hajarian
Keyword(s):  
Iterative Method ◽  
Finite Number ◽  
Discrete Time ◽  
Matrix Equations ◽  
Sylvester Matrix ◽  
Bcr Method ◽  
Residual Algorithm ◽  
Sylvester Matrix Equations ◽  
Number Of Iterations ◽  
Finite Number Of Iterations

The periodic discrete-time matrix equations have wide applications in stability theory, control theory and perturbation analysis. In this work, the biconjugate residual algorithm is generalized to construct a matrix iterative method to solve the periodic discrete-time generalized coupled Sylvester matrix equations [Formula: see text] The constructed method is shown to be convergent in a finite number of iterations in the absence of round-off errors. By comparing with other similar methods in practical computation, we give numerical results to demonstrate the accuracy and the numerical superiority of the constructed method.

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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