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Calculation of poles of meromorphic functions with q-d, r-s and \(\epsilon\)-algorithms. Acceleration of these processes

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Publication:1094812
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zbMath0631.65018MaRDI QIDQ1094812

Marc Prevost

Publication date: 1987

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

accelerationepsilon algorithmmeromorphic functionsAitken's delta square algorithmq-d algorithmestimation of polespoles of a meromorphic function


Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05)


Related Items

A shortcut to asymptotics for orthogonal polynomials ⋮ On the acceleration convergence of limit periodic continued fractions by the \(T_{+m}\) transformation ⋮ Convergence of the vector QD-algorithm. Zeros of vector orthogonal polynomials ⋮ Reliable root detection with the qd-algorithm: When Bernoulli, Hadamard and Rutishauser cooperate



Cites Work

  • On a Device for Computing the e m (S n ) Transformation
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