Geometric approach to the parallel sum of vectors and application to the vector \(\varepsilon \)-algorithm

DOI10.1007/s11075-013-9714-yzbMath1305.65007OpenAlexW2075036027MaRDI QIDQ457039

Alain F. Berlinet

Publication date: 26 September 2014

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-013-9714-y

zbMATH Keywords

Wynn's \(\varepsilon\)-algorithmparallel sumgeometric interpolationAitken's \(\Delta^2\) algorithmBézier parabolasprial similarity

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Acceleration of convergence in numerical analysis (65B99)

Related Items (2)

The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods ⋮ Perturbation estimation for the parallel sum of Hermitian positive semi-definite matrices

Cites Work

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• The harmonic and geometric mean of vectors
• Une généralisation au cas vectoriel du procédé $\Delta ^2$ d’Aitken et les suites à comportement linéaire
• On the vector \(\varepsilon\)-algorithm for solving linear systems of equations

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