Two-step solver for nonlinear equations

DOI10.3390/sym11020128zbMath1416.65154OpenAlexW2912110980MaRDI QIDQ2003751

Halyna Yarmola, S. M. Shakhno, Ioannis K. Argyros

Publication date: 10 July 2019

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym11020128

zbMATH Keywords

nonlinear equationnondifferentiable operatorLipschitz conditiondivided differenceconvergence orderlocal and semilocal convergence

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Related Items (3)

Newton-Type Solvers Using Outer Inverses for Singular Equations ⋮ Two-step solver for equations with nondifferentiable term ⋮ Fast calculation method for transient response of transmission line based on Chebyshev pseudospectral-two-step three-order boundary value coupled method

Cites Work

• Convergence of the two-step combined method and uniqueness of the solution of nonlinear operator equations
• Two-point method for solving nonlinear equation with nondifferentiable operator
• A new semilocal convergence theorem for a fast iterative method with nondifferentiable operators
• On the difference method with quadratic convergence for solving nonlinear operator equations
• Über ein Verfahren der Ordnung \(1+\sqrt 2\) zur Nullstellenbestimmung
• A uniparametric family of iterative processes for solving nondifferentiable equations
• A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
• On the convergence of modified Newton methods for solving equations containing a non-differentiable term
• On an iterative algorithm with superquadratic convergence for solving nonlinear operator equations
• Iterative Methods and Their Dynamics with Applications
• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
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