## Padé approximation and its applications: Amsterdam, 1980 : proceedings of a conference held in Amsterdam, the Netherlands, October 29-31, 1980 |

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### Contents

GRAVESMORRIS P R Efficient reliable rational approximation | 28 |

WERNER H Nonlinear splines some applications to singular | 64 |

The conditioning of the Pade approximation | 78 |

Copyright | |

22 other sections not shown

### Common terms and phrases

A-acceptable A-region analytic analytic functions applications assume Bessel polynomials biorthogonal bounded BREZINSKI calculation coefficients compact set compute condition number consider continued fraction convergence acceleration corresponding d'interpolation da(t defined Démonstration denominator denote determined deux diagonal differential equation diophantine equation divergent error analysis exact example exists exponential exponential function finite formula given Green's function Hence inequalities inner product integral interpolation points inverse iterative Laplace transform Lemma Let f lim sup Math matrix meromorphic method n+v+1 obtained orthogonal polynomials Pade approximants Pade table partir peut Phys poles polynôme polynomial interpolation polynomial of degree positive power series Proof Proposition proved rational approximations rational function rational interpolation problem recurrence respect result satisfying Section sequence series expansion singularity solution spline Stieltjes suites Suppose Taylor series theorem 2.3 theory Thiele fraction tion Toeplitz Toeplitz matrix tout vector Wuytack