On multivariate matrix Pade-type approximants

Following naturally the same ways as Brezinski developed in the scalar case and Draux in the matrix scale, the author constructs a kind of generalized multivariate rectangular matrix Pade-type approximants on a rectangular grid, choosing an arbitrary monic bivariate polynomial as the generating one of the approximant, discusses 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)