The convergence of a Halley-Chebysheff-type method under Newton- Kantorovich hypotheses
From MaRDI portal
Publication:1312045
DOI10.1016/0893-9659(93)90104-UzbMath0782.65068MaRDI QIDQ1312045
Publication date: 19 January 1994
Published in: Applied Mathematics Letters (Search for Journal in Brave)
convergenceBanach spacenonlinear operator equationsdivided differencesNewton-Kantorovich theoremHalley-Chebyshev- type method
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (15)
An Iterative Method for Solving Nonlinear Operator Equations Using Generalized Divided Differences ⋮ A unified approach for constructing fast two-step Newton-like methods ⋮ On a new family of high‐order iterative methods for the matrix pth root ⋮ Third-order iterative methods under Kantorovich conditions ⋮ Extending the applicability of high-order iterative schemes under Kantorovich hypotheses and restricted convergence regions ⋮ On the complexity of convergence for high order iterative methods ⋮ On the semi-local convergence of Halley's method under a center-Lipschitz condition on the second Fréchet derivative ⋮ Approximation of inverse operators by a new family of high-order iterative methods ⋮ Iterative methods for computing the matrix square root ⋮ On a family of high-order iterative methods under Kantorovich conditions and some applications ⋮ On a family of high-order iterative methods under gamma conditions with applications in denoising ⋮ Unnamed Item ⋮ An improved semilocal convergence analysis for the Chebyshev method ⋮ A new technique for studying the convergence of Newton's solver with real life applications ⋮ A NOTE ON THE SEMILOCAL CONVERGENCE OF CHEBYSHEV’S METHOD
Cites Work
This page was built for publication: The convergence of a Halley-Chebysheff-type method under Newton- Kantorovich hypotheses
