Convergence of the two-step combined method and uniqueness of the solution of nonlinear operator equations
From MaRDI portal
Publication:390491
DOI10.1016/j.cam.2013.11.018zbMath1278.65071OpenAlexW2082917211MaRDI QIDQ390491
Publication date: 8 January 2014
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2013.11.018
nonlinear equationnondifferentiable operatoriterative processradius of convergencegeneralized Lipschitz conditionthe convergence order
Numerical computation of solutions to systems of equations (65H10) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (5)
Convergence of a two-step iterative method for nondifferentiable operators in Banach spaces ⋮ Extended two-step-Kurchatov method for solving Banach space valued nondifferentiable equations ⋮ Newton-Type Solvers Using Outer Inverses for Singular Equations ⋮ Two-step solver for equations with nondifferentiable term ⋮ Two-step solver for nonlinear equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two-point method for solving nonlinear equation with nondifferentiable operator
- A new semilocal convergence theorem for a fast iterative method with nondifferentiable operators
- Über ein Verfahren der Ordnung \(1+\sqrt 2\) zur Nullstellenbestimmung
- Convergence on a deformed Newton method
- A uniparametric family of iterative processes for solving nondifferentiable equations
- The secant method for nondifferentiable operators
- A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
- Newton-Kantorovich approximations under weak continuity conditions
- 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
- Tangent methods for nonlinear equations
- Convergence and Applications of Newton-type Iterations
- The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
- Convergence of Newton's method and uniqueness of the solution of equations in Banach space
This page was built for publication: Convergence of the two-step combined method and uniqueness of the solution of nonlinear operator equations