Title :
Gradient-based iterative solutions for general matrix equations
Author :
Xie, Li ; Yang, Huizhong ; Ding, Jie ; Ding, Feng
Author_Institution :
Sch. of Commun. & Control Eng., Jiangnan Univ., Wuxi, China
Abstract :
In this paper, we study solutions of general matrix equations by using the iterative method and present gradient-based iterative algorithms by applying the hierarchical identification principle. Convergence analysis indicates that the iterative solutions always converge fast to the exact solutions for any initial values and small condition numbers of the associated matrices. Several numerical examples are included.
Keywords :
convergence of numerical methods; gradient methods; matrix algebra; convergence analysis; general matrix equation; gradient-based iterative solution; hierarchical identification principle; Automatic control; Control engineering; Control systems; Convergence; Helium; Iterative algorithms; Iterative methods; Matrix decomposition; Riccati equations; Size control;
Conference_Titel :
American Control Conference, 2009. ACC '09.
Conference_Location :
St. Louis, MO
Print_ISBN :
978-1-4244-4523-3
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2009.5159824
