Abstract
A new method for the construction of bivariate matrix valued rational interpolants on a rectangular grid is introduced. The rational interpolants are expressed in the continued fraction form with scalar denominator. The matrix quotients are based on the generalized inverse for a matrix, which is found to be effective in continued fraction interpolation. In this paper, two dual expansions for bivariate matrix valued Thiele-type interpolating continued fractions are presented, then, two dual rational interpolants are defined out of them.
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