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  1. No Access

    Article

    A general module theoretic framework for vector M-Padé and matrix rational interpolation

    A general module theoretic framework is used to solve several classical interpolation problems and generalizations thereof in a unified way. These problems are divided into two main families. The first family ...

    M. Van Barel, A. Bultheel in Numerical Algorithms (1992)

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    Article

    On the convergence of multipoint Padé-type approximants and quadrature formulas associated with the unit circle

    We study the convergence of rational interpolants with prescribed poles on the unit circle to the Herglotz-Riesz transform of a complex measure supported on [−π, π]. As a consequence, quadrature formulas arise...

    A. Bultheel, P. González-Vera, E. Hendriksen, O. Njåstad in Numerical Algorithms (1996)

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    Article

    Orthogonal rational functions and modified approximants

    Let {α n | n ∞ be a sequence in the open unit disk in the complex plane and let ...

    A. Bultheel, P. González-Vera, E. Hendriksen, O. Njåstad in Numerical Algorithms (1996)