A Shamanskii-Like Acceleration Scheme for Nonlinear Equations at Singular Roots

DOI10.2307/2008176zbMath0613.65062OpenAlexW1987284538MaRDI QIDQ4720694

Carl. T. Kelley

Publication date: 1986

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6af8c7ee46aaf47ca7b4482c671ef8f9ddbf5779

zbMATH Keywords

Newton's methodconvergence accelerationBanach spacesuperlinear convergencechord methodShamanskii methodsingular rootssingular Fréchet derivative

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative procedures involving nonlinear operators (47J25) Extrapolation to the limit, deferred corrections (65B05) Numerical solutions to equations with nonlinear operators (65J15)

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