Directional secant-type methods for solving equations

DOI10.1007/S10957-012-0104-8zbMath1283.90038OpenAlexW2059453393MaRDI QIDQ353169

Saïd Hilout, Ioannis K. Argyros

Publication date: 12 July 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0104-8

zbMATH Keywords

nonlinear equationsdirectional Newton methoddirectional secant-type methodLipschitz/center-Lipschitz conditionNewton-Kantorovich hypotheses

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Cites Work

• Extending the Newton-Kantorovich hypothesis for solving equations
• An error analysis for the secant method
• Directional secant method for nonlinear equations
• On the Newton-Kantorovich hypothesis for solving equations
• A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
• Directional Newton methods in $n$ variables
• A semilocal convergence analysis for directional Newton methods
• Least-Change Secant Update Methods for Underdetermined Systems
• Convergence and Applications of Newton-type Iterations
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