Title :
Generalized Multivariate Rectangular Matrix PadÉ-Type Approximants
Author :
Zheng, Cheng-De ; Zhang, Huaguang
Author_Institution :
Dalian Jiaotong Univ., Dalian
Abstract :
A new method for the construction of generalized multivariate rectangular matrix Pade-type approximants on a rectangular grid is introduced in this paper, by choosing an arbitrary monic bivariate polynomial as the generating one of the approximant. We discuss their several typical important properties and study the connection between bivariate rectangular matrix Pade-type approximants and Pade approximants. The arguments given in detail in two variables can extend directly to the case of d variables (d ges 2).
Keywords :
approximation theory; matrix algebra; polynomials; Pade-type approximant; bivariate polynomial; bivariate rectangular matrix; generalized multivariate rectangular matrix; Approximation methods; Educational institutions; Information science; MIMO; Mesh generation; Network synthesis; Physics; Polynomials; Scattering; Signal design; Covariance; generalized multivariate PadÉ approximant; generating polynomial; rectangular matrix PadÉ-type approximant;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2007.902617
