Acceleration methods for vector sequences

DOI10.1016/0377-0427(91)90182-JzbMath0754.65003MaRDI QIDQ1184134

Naoki Osada

Publication date: 28 June 1992

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

zbMATH Keywords

Newton's methodconvergence accelerationerror analysisepsilon algorithmsingular equationsminimal polynomial extrapolationNumerical resultstheta algorithmlogarithmic vector sequencesLubkin's \(W\) transformrho algorithm

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05)

Related Items (5)

Linear convergence for vector sequences and some applications ⋮ Vector sequence transformations for the acceleration of logarithmic convergence ⋮ Extensions of Levin's transformations to vector sequences ⋮ Extrapolation methods for some singular fixed point sequences ⋮ Extension of Henrici's method to matrix sequences

Cites Work

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• Sublinear convergence of the chord method at singular points
• Computing derivatives of eigensystems by the topological \(\epsilon\)- algorithm
• Newton's method and high order singularities
• Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme
• Forme confluente de l'\(\varepsilon\)-algorithme topologique
• Acceleration Techniques for Iterated Vector and Matrix Problems
• Acceleration of Convergence of Vector Sequences
• Extrapolation Methods for Vector Sequences
• The Solution of Systems of Equations Using the ε-Algorithm, and an Application to Boundary-Value Problems
• A Polynomial Extrapolation Method for Finding Limits and Antilimits of Vector Sequences
• On Newton’s Method for Singular Problems
• Acceleration of Linear and Logarithmic Convergence
• A Convergence Acceleration Method for Some Logarithmically Convergent Sequences

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