Approximation of the roots of equations by Aitken-Steffensen-type monotonic sequences

DOI10.1007/BF02576543zbMath0871.65037OpenAlexW2327580978WikidataQ126268167 ScholiaQ126268167MaRDI QIDQ1357395

Ion Păvăloiu

Publication date: 10 June 1997

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02576543

zbMATH Keywords

convergenceroots of equationsefficiency indexmonotonic sequencesAitken-Steffensen method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (7)

A new optimal method of order four of Hermite-Steffensen type ⋮ On an Aitken-Newton type method ⋮ On computing quadrature-based bounds for the \(A\)-norm of the error in conjugate gradients ⋮ Bilateral approximations for some Aitken-Steffensen-Hermite type methods of order three ⋮ On a robust Aitken-Newton method based on the Hermite polynomial ⋮ A survey on the high convergence orders and computational convergence orders of sequences ⋮ On a Steffensen-Hermite method of order three

Cites Work

• The convergence order for iterative multipoint procedures
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