On the convergence of Broyden's method in Hilbert spaces

DOI10.1016/j.amc.2014.06.001zbMath1336.65095OpenAlexW2079049376MaRDI QIDQ279671

Ioannis K. Argyros, Sanjay K. Khattri, Yeol Je Cho

Publication date: 28 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.06.001

zbMATH Keywords

Hilbert spacesemilocal convergenceBroyden's methoddivided differencesmajorizing sequenceinverse free method

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Related Items (1)

An iteration scheme for contraction mappings with an application to synchronization of discrete logistic maps

Cites Work

• A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
• Secant-like methods for solving nonlinear integral equations of the Hammerstein type
• A Kantorovich-type analysis of Broyden's method using recurrent functions
• Computational theory of iterative methods.
• On the convergence of Broyden-like methods
• Solving a special case of conservative problems by secant-like methods
• Convergence and Applications of Newton-type Iterations
• A Class of Methods for Solving Nonlinear Simultaneous Equations
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