Title :
Least-squares solution to a bivariate matrix Padé-type approximation
Author :
Tao Youtian ; Wang Dongyin
Author_Institution :
Dept. of Math., Chaohu Coll., Chaohu, China
Abstract :
Following the definition of a two bivariate matrix Padé-type (BMPTA) in [13], the least-squares solution to BMPTA is given and its determinantal expressions are presented. To avoid the computation of determinants, a recursive algorithm called Sylvester-type algorithm is proposed. In the end the method is applied to partial realization problems of 2-D linear systems.
Keywords :
least squares approximations; linear systems; matrix algebra; 2D linear systems; Sylvester type algorithm; bivariate matrix Pade type approximation; determinantal expressions; least squares solution; recursive algorithm; Approximation algorithms; Least squares approximation; Linear systems; Polynomials; Signal processing algorithms; Determinantal expression; Least-squares; Linear system; Matrix Padé-type approximation; Recursive algorithm;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768
