Estimating upper bounds on the limit points of majorizing sequences for Newton's method

DOI10.1007/s11075-012-9570-1zbMath1259.65080OpenAlexW2041214570MaRDI QIDQ1938083

Ioannis K. Argyros, Saïd Hilout

Publication date: 1 February 2013

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

Full work available at URL: https://doi.org/10.1007/s11075-012-9570-1

zbMATH Keywords

Newton's methodnumerical examplessemilocal convergenceBanach spacenonlinear operator equationKantorovich's hypothesislimit point of majorizing sequence

Mathematics Subject Classification ID

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

Related Items (6)

On an improved convergence analysis of Newton's method ⋮ On the convergence of King-Werner-type methods of order \(1 + \sqrt{2}\) free of derivatives ⋮ On the global convergence of an inexact quasi-Newton conditional gradient method for constrained nonlinear systems ⋮ Enlarging the convergence domain of secant-like methods for equations ⋮ Majorizing sequences for Newton's method under centred conditions for the derivative ⋮ On the convergence of efficient King-Werner-type methods of order \(1 + \sqrt{2}\)

Uses Software

• NewtonLib

Cites Work

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