Bernhard Beckermann

  1. The linear pencil approach to rational interpolation.

    Authors: Bernhard Beckermann, Maxim Derevyagin, Alexei Zhedanov
    Subjects: Classical Analysis and ODEs
    Abstract

    It is possible to generalize the fruitful interaction between (real or
    complex) Jacobi matrices, orthogonal polynomials and Pade approximants at
    infinity by considering rational interpolants, (bi-)orthogonal rational
    functions and linear pencils zB-A of two tridiagonal matrices A, B, following
    Spiridonov and Zhedanov.

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