Title :
Multivariate Perturbed Padé Approximation
Author :
Chengde, Zheng ; Huaguang, Zhang
Author_Institution :
Department of Mathematics, Dalian Jiaotong University, Dalian 116028, P.R. China; School of Information Science and Engineering, Northeastern University, 110004, P.R.China. E-mail: cdzheng@djtu.edu.cn
Abstract :
In the present work, a new definition of multivariate Padé approximation of a given function which has a convergent power series form is introduced. This approximation is called multivariate perturbed Padé approximation. The error of the introduced approximation vanishes at some points in the square [0, 0.5]2. A comparison of the results obtained by our introduced approximation and the well-known Canterbury Approximation (proposed by J. Chisholm and his colleagues) is given.
Keywords :
Approximation methods; Electrical engineering; Equations; Information science; Mathematics; Modal analysis; Numerical analysis; Physics; Power engineering and energy; Taylor series; Multivariate approximation; Padé approximation; Perturbed Approximation;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Zhangjiajie, China
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4346921