Semilocal convergence of a k-step iterative process and its application for solving a special kind of conservative problems

DOI10.1007/s11075-016-0255-zOpenAlexW2564301987MaRDI QIDQ1678579

Carles Teruel, Eulalia Martínez, Miguel Ángel Hernández-Verón

Publication date: 17 November 2017

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

Full work available at URL: http://hdl.handle.net/10251/105894

zbMATH Keywords

iterative methodssemilocal convergencenonlinear equationsorder of convergenceconservative systems

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear operators and their properties (47H99)

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Cites Work

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• Extending the applicability of the Gauss-Newton method for convex composite optimization using restricted convergence domains and average Lipschitz conditions
• Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations
• On two families of high order Newton type methods
• Computational methods in engineering boundary value problems
• On the local convergence of fast two-step Newton-like methods for solving nonlinear equations
• Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation
• Dynamics of a higher-order family of iterative methods
• On the semilocal convergence of efficient Chebyshev-secant-type methods
• Attracting cycles for the relaxed Newton's method
• Approximating common fixed points of asymptotically quasi-nonexpansive mappings by a \(k+1\)-step iterative scheme with error terms
• Viscosity splitting methods for variational inclusion and fixed point problems in Hilbert spaces
• The Newton-Kantorovich Theorem

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