Title :
On Multivariate Hermite- Pade Approximations
Author :
Zheng, Cheng-De ; Gao, Jing-hua ; Li, Zhi-bin
Author_Institution :
Dept. of Math., Dalian Jiaotong Univ.
Abstract :
The problem of approximating a real-valued locally analytic multivariate function by a multivariate algebraic function, i.e. Hermite-Pade approximation is considered. The existence theorem is obtained. The basic properties used to define the rational approximants can be preserved almost intact. Especially, the local behavior of the diagonal bivariate quadratic algebraic function approximation is analyzed
Keywords :
algebra; approximation theory; function approximation; rational functions; diagonal bivariate quadratic algebraic function approximation; multivariate Hermite-Pade approximation; rational approximant; real-valued locally analytic multivariate function; Approximation methods; Cybernetics; Electrical engineering; Function approximation; Machine learning; Mathematics; Modal analysis; Numerical analysis; Physics; Poles and zeros; Polynomials; Power system modeling; Hermite-Padé approximation; algebraic function approximation; analytic multivariate function; multivariate approximant;
Conference_Titel :
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location :
Dalian, China
Print_ISBN :
1-4244-0061-9
DOI :
10.1109/ICMLC.2006.258502
