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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...
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...
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