A modification of the classic conditions of Newton-Kantorovich for Newton's method

DOI10.1016/j.mcm.2012.07.015zbMath1305.65144OpenAlexW2046270338MaRDI QIDQ2256413

D. González, José Antonio Ezquerro, Miguel A. Hernández

Publication date: 19 February 2015

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2012.07.015

zbMATH Keywords

Newton's methodsemilocal convergenceHammerstein integral equationa priori error estimatesmajorizing sequenceKantorovich's technique

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (12)

Unnamed Item ⋮ Newton-Kantorovich convergence theorem of a new modified Halley's method family in a Banach space ⋮ Local convergence for some high convergence order Newton-like methods with frozen derivatives ⋮ Semilocal Convergence Theorem for a Newton-like Method ⋮ A semilocal convergence result for Newton's method under generalized conditions of Kantorovich ⋮ Extending the applicability of Newton's method for \(k\)-Fréchet differentiable operators in Banach spaces ⋮ Semilocal convergence analysis of \(S\)-iteration process of Newton-Kantorovich like in Banach spaces ⋮ Enlarging the domain of starting points for Newton's method under center conditions on the first Fréchet-derivative ⋮ On the convergence of inexact Newton-like methods under mild differentiability conditions ⋮ On Newton-Kantorovich method for solving the nonlinear operator equation ⋮ Newton-Kantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spaces ⋮ Convergence theorem for a family of new modified Halley's method in Banach space

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