Generalized multivariate matrix Pade approximants

In this paper, we present generalized multivariate rectangular matrix Pade-type approximants and Pade approximants by the similar ways to those of Brezinski and Kida in the scalar cases. By choosing an arbitrary monic bivariate scalar polynomial from the triangular form as the generating one of the approximant, we discuss their several typical important properties and studies the connection between generalized 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<2)