DocumentCode
2853801
Title
Iterative solutions for general coupled matrix equations with real coefficients
Author
Li Xie ; Huizhong Yang ; Yanjun Liu ; Feng Ding
Author_Institution
Key Lab. of Adv. Process Control for Light Ind. (Minist. of Educ.), Jiangnan Univ., Wuxi, China
fYear
2011
fDate
June 29 2011-July 1 2011
Firstpage
669
Lastpage
674
Abstract
This paper applies the hierarchical identification principle and the gradient search method to study iterative solutions for a class of general coupled matrix equations with real coefficients. As long as the convergence factors are appropriately chosen, the proposed algorithms for any initial values can provide iterative solutions that are arbitrarily close to the unique solutions of the equations. Two numerical examples are given to demonstrate the effectiveness of the proposed algorithms.
Keywords
convergence; gradient methods; matrix algebra; convergence factors; general coupled matrix equations; gradient search method; hierarchical identification principle; iterative solutions; Coupled matrix equations; estimation; gradient search; hierarchical identification; iterative algorithm;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference (ACC), 2011
Conference_Location
San Francisco, CA
ISSN
0743-1619
Print_ISBN
978-1-4577-0080-4
Type
conf
DOI
10.1109/ACC.2011.5991200
Filename
5991200
Link To Document