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, 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, 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, Saïd Hilout, On the solution of generalized equations and variational inequalities , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- 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)
Similar Articles
- Masaru Ikehata, Inverse Crack Problem and Probe Method , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- Anjali Goswami, Special recurrent transformation in an NPR-Finsler space , CUBO, A Mathematical Journal: Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal
- José Sánchez Henriquez, The ð‘‰â‚€ property in Banach Lattices , CUBO, A Mathematical Journal: No. 8 (1992): CUBO, Revista de Matemática
- Manoj Bhardwaj, Alexander V. Osipov, Some observations on a clopen version of the Rothberger property , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Hamed M. Obiedat, A Topological Characterization of the Beurling-Björck Space ð”–𜔠Using the Short-Time Fourier Transform , CUBO, A Mathematical Journal: Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal
- William Greenberg, Michael Williams, Global Solutions of the Enskog Lattice Equation with Square Well Potential , CUBO, A Mathematical Journal: Vol. 9 No. 1 (2007): CUBO, A Mathematical Journal
- Gabriel M. Antón Marval, René E. Castillo, Julio C. Ramos-Fernández, Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces , CUBO, A Mathematical Journal: Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal
- Muhammad Aslam Noor, Khalida Inayat Noor, Proximal-Resolvent Methods for Mixed Variational Inequalities , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Ajay Kumar, Ekta Tamrakar, Inertial algorithm for solving split inclusion problem in Banach spaces , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Vediyappan Govindan, Choonkil Park, Sandra Pinelas, Themistocles M. Rassias, Hyers-Ulam stability of an additive-quadratic functional equation , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
<< < 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
