Algebraic Properties of Multivariate Matrix Padé Approximant
Qing Guo · Journal of Mathematics and Technology · 2002
In this paper, three theorems about algebraic properties of multivariate matrix Pade approximant are given. Theorem One testifies the duality property of multivariate matrix Pade approximant. Theorem Two testifies the invariant property with independent variable fractional transformation; this property of multivariate matrix Pade approximant is like that of one variable matrix Pade approximant. Theorem Three testifies that multivariate matrix Pade approximant can be expressed by one variable matrix Pade approximant and there is a relation between the left multivariate matrix Pade approximant and the right multivariate matrix Pade approximant on some conditions,and this property of multivariate matrix Pade approximant is special.