An Algorithm for the Computation of the Higher OrderG-Transformation

DOI10.1137/0710001zbMath0257.65109OpenAlexW2050801112MaRDI QIDQ5672127

T. A. Atchison, Wallace C. Pye

Publication date: 1973

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0710001

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

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Sequence transformations as statistical tools ⋮ On the relationship between levinson recursion and the r and s arrays for arma model identification ⋮ A look-ahead strategy for the implementation of some old and new extrapolation methods ⋮ Extension of the Lanczos and CGS methods to systems of nonlinear equations ⋮ A generalization of the \(G\)-transformation and the related algorithms ⋮ A general extrapolation algorithm ⋮ The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods ⋮ A new integrable convergence acceleration algorithm for computing Brezinski-Durbin-Redivo-Zaglia's sequence transformation via Pfaffians ⋮ Some vector sequence transformations with applications to systems of equations ⋮ On the pade tablé and its relationship to the r and sarrays and arm a modeling ⋮ Vector sequence transformations: Methodology and applications to linear systems ⋮ Convergence acceleration methods: The past decade

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