A CONTINUATION METHOD AND ITS CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS IN BANACH SPACES

DOI10.1142/S0219876213500217zbMath1360.65161MaRDI QIDQ2971838

Maroju Prashanth, Dharmendra Kumar Gupta

Publication date: 7 April 2017

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Related Items (6)

Convergence of a continuation method under majorant conditions ⋮ Directional \(k\)-step Newton methods in \(n\) variables and its semilocal convergence analysis ⋮ An Optimal Reconstruction of Chebyshev–Halley-Type Methods with Local Convergence Analysis ⋮ Ball Convergence for a Multi-Step Harmonic Mean Newton-Like Method in Banach Space ⋮ Convergence of a parameter based iterative method for solving nonlinear equations in Banach spaces ⋮ Convergence of an Iteration of Fifth-Order Using Weaker Conditions on First Order Fréchet Derivative in Banach Spaces

Cites Work

• Recurrence relations for rational cubic methods. II: The Chebyshev method
• Recurrence relations for rational cubic methods. I: The Halley method
• On the method of tangent hyperbolas in Banach spaces
• Recurrence relations for the super-Halley method
• A construction procedure of iterative methods with cubical convergence
• A family of Chebyshev-Halley type methods in Banach spaces
• Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method
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