Local convergence for a family of iterative methods based on decomposition techniques
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Publication:3178205
DOI10.4064/am2261-12-2015zbMath1347.65101OpenAlexW2521594771MaRDI QIDQ3178205
Shobha M. Erappa, Santhosh George, Ioannis K. Argyros
Publication date: 8 July 2016
Published in: Applicationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/am2261-12-2015
numerical exampleBanach spacenonlinear operator equationlocal convergenceorder of convergenceNewton-like iterative methodsthree-step iterative method
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Cites Work
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- Different anomalies in a Jarratt family of iterative root-finding methods
- A new tool to study real dynamics: the convergence plane
- Semilocal convergence of a class of modified super-Halley methods in Banach spaces
- A convergence analysis for directional two-step Newton methods
- Recurrence relations for rational cubic methods. II: The Chebyshev method
- Convergence of the new iterative method
- Iterative methods improving Newton's method by the decomposition method
- An iterative method for solving nonlinear functional equations
- Recurrence relations for rational cubic methods. I: The Halley method
- New variants of Jarratt's method with sixth-order convergence
- Recurrence relations for the super-Halley method
- Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
- New iterative technique for solving nonlinear equations
- On the \(R\)-order of the Halley method
- A new iteration method for solving algebraic equations
- Recurrence relations for Chebyshev-type methods
- A modified Chebyshev's iterative method with at least sixth order of convergence
- Some improvements of Jarratt's method with sixth-order convergence
- New iterations of \(R\)-order four with reduced computational cost
- SEMILOCAL CONVERGENCE OF A STIRLING-LIKE METHOD IN BANACH SPACES
- Convergence and Applications of Newton-type Iterations
- Numerical Solvability of Hammerstein Integral Equations of Mixed Type
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