Unifying semilocal and local convergence of Newton's method on Banach space with a convergence structure

DOI10.1016/j.apnum.2017.01.008zbMath1358.65035OpenAlexW2579976156MaRDI QIDQ512307

Ioannis K. Argyros, Ramandeep Behl, Sandile Sydney Motsa

Publication date: 24 February 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.01.008

zbMATH Keywords

numerical exampleNewton's methoderror boundssemilocal convergencelocal convergenceBanach space with a convergence structure

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

Convergence of a two-step iterative method for nondifferentiable operators in Banach spaces ⋮ On a two-step optimal Steffensen-type method: relaxed local and semi-local convergence analysis and dynamical stability

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