An iterative method for algebraic equation by Padé approximation

DOI10.1007/BF02239167zbMath0728.65040OpenAlexW2107401570MaRDI QIDQ805157

Tetsuya Sakurai, Sugiura, Hiroshi, Tatsuo Torii

Publication date: 1991

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02239167

zbMATH Keywords

algebraic equationspolynomial equationsEuclidean algorithmPadé approximanttranscendental equationsNumerical exampleshigh order of convergenceiterative formulae

Mathematics Subject Classification ID

Padé approximation (41A21) Numerical computation of solutions to single equations (65H05)

Related Items (4)

A note on determinantal representation of a Schröder-König-like simultaneous method for finding polynomial zeros ⋮ A nonquadratic one dimensional interpolation method for optimization ⋮ A high-order iterative formula for simultaneous determination of zeros of a polynomial ⋮ Numerical factorization of a polynomial by rational Hermite interpolation

Cites Work

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• The Padé table, the Frobenius identities, and the qd algorithm
• Continued Fractions and Linear Recurrences
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• A Property of Euclid’s Algorithm and an Application to Padé Approximation
• Convergence of Multipoint Iterative Methods
• Approximation by Sequences of Padé Approximants in Regions of Meromorphy
• The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis

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