the rational interpolation problem revisited - Project Euclid

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Aug 1, 1988 - composition Ш½ ЖЦ ЖШ¾ is a rational function of the same order. ... As a consequence, the resulting theory lacks symmetry. ... need not have a solution, which can occur even if, as we always assume, ... to be a solution of the original nonlinear rational interpolation ... certain number of zeros or poles there.
    

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