An improved convergence and complexity analysis for the interpolatory Newton method
-
Ioannis K. Argyros
iargyros@cameron.edu
Downloads
DOI:
https://doi.org/10.4067/S0719-06462010000100013Abstract
We provide an improved compared to [5]–[7] local convergence analysis and complexity for the interpolatory Newton method for solving equations in a Banach space setting. The results are obtained using more precise error bounds than before [5]–[7] and the same hypotheses/computational cost.
Keywords
Most read articles by the same author(s)
- Ioannis K. Argyros, Saïd Hilout, Convergence conditions for the secant method , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- Ioannis K. Argyros, Santhosh George, Extended domain for fifth convergence order schemes , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Ioannis K. Argyros, Santhosh George, Ball comparison between Jarratt‘s and other fourth order method for solving equations , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- Ioannis K. Argyros, Saïd Hilout, On the semilocal convergence of Newton–type methods, when the derivative is not continuously invertible , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- Ioannis K. Argyros, Saïd Hilout, On the solution of generalized equations and variational inequalities , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
Similar Articles
- J. Marshall Ash, Uniqueness for higher dimensional trigonometric series , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- Tomonari Suzuki, Browder Convergence and Mosco Convergence for Families of Nonexpansive Mappings , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Nguyen Buong, Convergence rates in regularization for ill-posed variational inequalities , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- Richard Delanghe, On homogeneous polynomial solutions of generalized Moisil-Théodoresco systems in Euclidean space , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- René Erlin Castillo, Héctor Camilo Chaparro, Función maximal, un subespacio de Orlicz-Lorentz, y el operador multiplicación , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
- Koji Aoyama, Yasunori Kimura, Viscosity approximation methods with a sequence of contractions , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- D. Ebrahimi Bagha, M. Amini, Module amenability for Banach modules , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
- Yasuyuki Oka, On the Weyl transform with symbol in the Gel‘fand-Shilov space and its dual space , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Razvan A. Mezei, Applications and Lipschitz results of approximation by smooth Picard and Gauss-Weierstrass type singular integrals , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- Fethi Soltani, Extremal functions and best approximate formulas for the Hankel-type Fock space , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2010-03-01
How to Cite
[1]
I. K. Argyros, “An improved convergence and complexity analysis for the interpolatory Newton method”, CUBO, vol. 12, no. 1, pp. 149–159, Mar. 2010.
Issue
Section
Articles
