Convergence of a continuation method under majorant conditions

DOI10.11568/KJM.2019.27.4.1005OpenAlexW2997386428MaRDI QIDQ5221088

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Publication date: 24 March 2020

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/download/803/507

zbMATH Keywords

continuation methodKantorovich-type convergence criterionmajorant conditionsSmale-type convergence criterion

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Error analysis and interval analysis (65G99)

Cites Work

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• Ball convergence theorems for Halley's method in Banach space
• A CONTINUATION METHOD AND ITS CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS IN BANACH SPACES
• Semilocal convergence of a family of third-order Chebyshev-type methods under a mild differentiability condition
• Convergence and Applications of Newton-type Iterations
• A family of Chebyshev-Halley type methods in Banach spaces
• An acceleration of Newton's method: Super-Halley method

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