Accessibility Of Solutions By Newton's Method
From MaRDI portal
Publication:4876377
DOI10.1080/00207169508804427zbMath0844.47035OpenAlexW1983020304MaRDI QIDQ4876377
M. A. Salanova, José Manuel Gutiérrez Jimenez, Miguel A. Hernández
Publication date: 23 June 1996
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207169508804427
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)
Related Items
A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space ⋮ Improved estimates on majorizing sequences for the Newton-Kantorovich method ⋮ A construction procedure of iterative methods with cubical convergence ⋮ Extended Traub-Woźniakowski convergence and complexity of Newton iteration in Banach space ⋮ Inexact Newton-type methods ⋮ Improved local convergence of Newton's method under weak majorant condition ⋮ A family of Chebyshev-Halley type methods in Banach spaces ⋮ A family of chebyshev type methods in banach spaces ⋮ An application of Newton's method to differential and integral equations ⋮ Resolution of quadratic equations in banach spaces ⋮ An inverse-free Newton-Jarratt-type iterative method for solving equations under the gamma condition ⋮ A new semilocal convergence theorem for Newton's method ⋮ A Krasnosel'skii-Zincenko-type method in \(K\)-normed spaces for solving equations ⋮ Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method ⋮ On the convergence of the midpoint method ⋮ A Convergence Analysis of Newton-Like Method for Singular Equations Using Recurrent Functions ⋮ An acceleration of Newton's method: Super-Halley method ⋮ A new semilocal convergence theorem for Newton's method in Banach space using hypotheses on the second Fréchet-derivative ⋮ Majorizing functions and two-point Newton-type methods ⋮ A new semilocal convergence theorem for Newton's method involving twice Fréchet-differen\-tiabil\-ity at only one point ⋮ On a non-smooth version of Newton's method based on Hölderian assumptions ⋮ New conditions for the convergence of Newton-like methods and applications ⋮ On the secant method for solving nonsmooth equations ⋮ Chebyshev's approximation algorithms and applications ⋮ On a class of secant-like methods for solving nonlinear equations ⋮ New sufficient convergence conditions for the secant method ⋮ On a class of Newton-like methods for solving nonlinear equations ⋮ On The Convergence And Application Of Newton's Method Under Weak HÖlder Continuity Assumptions ⋮ On a convex acceleration of Newton's method ⋮ Concerning the convergence of Newton's method and quadratic majorants ⋮ Concerning the semilocal convergence of Newton's method and convex majorants ⋮ Newton's method on Lie groups ⋮ On Newton's method for solving equations containing Fréchet-differentiable operators of order at least two ⋮ Chebyshev method and convexity ⋮ Indices of convexity and concavity. Application to Halley method ⋮ A NOTE ON THE SEMILOCAL CONVERGENCE OF CHEBYSHEV’S METHOD ⋮ An improved convergence analysis for the Newton–Kantorovich method using recurrence relations ⋮ Accessibility of solutions of operator equations by Newton-like methods
Cites Work
- Unnamed Item
- Unnamed Item
- A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions
- Quadratic equations in Banach spaces
- The Kantorovich Theorem with Optimal Error Bounds
- Optimal Error Bounds for the Newton–Kantorovich Theorem
- A family of newton type iterative processes
This page was built for publication: Accessibility Of Solutions By Newton's Method