The application of an inverse-free Jarratt-type approximation to nonlinear integral equations of Hammerstein-type

DOI10.1016/S0898-1221(98)00137-0zbMath0932.65060MaRDI QIDQ1806500

M. A. Salanova, José Manuel Gutiérrez Jimenez, José Antonio Ezquerro, Miguel A. Hernández

Publication date: 15 March 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

convergenceerror boundsrecurrence relationsnonlinear equationsmultipoint iterationsinverse-free Jarratt-type approximationHammerstein's integral equations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (11)

Semilocal convergence and its computational efficiency of a seventh-order method in Banach spaces ⋮ Newton-Kantorovich convergence theorem of a new modified Halley's method family in a Banach space ⋮ The convergence theorem for fourth-order super-Halley method in weaker conditions ⋮ A new convergence theorem for the Jarratt method in Banach space ⋮ A Traub type result for one-point iterative methods with memory ⋮ Graphic and numerical comparison between iterative methods ⋮ Semilocal convergence of a sixth-order method in Banach spaces ⋮ Chebyshev's approximation algorithms and applications ⋮ A Newton-Kantorovich convergence theorem for the inverse-free Jarratt method in Banach space ⋮ Fourth-order iterations for solving Hammerstein integral equations ⋮ Newton-Kantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spaces

Cites Work

• A note on Halley's method
• Newton-like methods for the computation of fixed points
• Recurrence relations for rational cubic methods. I: The Halley method
• A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions
• On the method of tangent hyperbolas in Banach spaces
• A local convergence theorem for the super-Halley method in a Banach space
• A family of Chebyshev-Halley type methods in Banach spaces
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