EN
Newton Method with Iddm
Abstract
Newton method is an iterative method that used to solve the equation system by converting the nonlinear system into a linear algebraic equation system (SLAE). Although this method is generally the preferred method, there are some difficulties with it. One of these difficulties is that Newton method needs a solver for the system of linear equations along with it. In this paper, we presented the Newton method with Iddm using the iterative decreasing dimension method (Iddm) at this stage of the Newton method.
Keywords
References
- [1] Remani C.,Numerical methods for solving systems of nonlinear equations, Lakehead University Thunder Bay, Ontario, Canada, 2013.
- [2] Burden, R. L. and Faires, J. D., Numerical analysis, Ninth Edition, Cengage learning, 2015.
- [3] Keskin U˘ lker T.,The algorithm of decreasing dimension for the systems of linear algebraic equation, Master Thesis, Selc¸uk University Graduate Natural and Applied Sciences, Konya, 2004 (in Turkish), 2005.
- [4] Keskin, T. and Aydın, K., Iterative decreasing dimension algorithm, Comput. Math. Appl., vol:53, No.7 (2007), 1153-1158.
- [5] Ben-Israel, A., A Newton-Raphson method for the solution of systems of equations. J. Math. Anal. Appl., vol:15, No.2 (1966), 243-252.
- [6] Ortega, J. M. and Rheinboldt, W. C., Iterative solution of nonlinear equations in several variables, Society for Industrial and Applied Mathematics, 1970. [7] O¨ zdemir, Z., Iterative decreasing dimension algorithm for the solutions of differential equation systems, Master Thesis, Selc¸uk University Graduate Natural and Applied Sciences, Konya (in Turkish), 2022.
Details
Primary Language
English
Subjects
Applied Mathematics (Other)
Journal Section
Research Article
Publication Date
October 31, 2025
Submission Date
March 11, 2025
Acceptance Date
April 14, 2025
Published in Issue
Year 2025 Volume: 13 Number: 2
APA
Özdemir Özbek, Z., Çelik Kızılkan, G., & Aydın, K. (2025). Newton Method with Iddm. Konuralp Journal of Mathematics, 13(2), 305-308. https://izlik.org/JA46ZM72TW
AMA
1.Özdemir Özbek Z, Çelik Kızılkan G, Aydın K. Newton Method with Iddm. Konuralp J. Math. 2025;13(2):305-308. https://izlik.org/JA46ZM72TW
Chicago
Özdemir Özbek, Zeliha, Gülnur Çelik Kızılkan, and Kemal Aydın. 2025. “Newton Method With Iddm”. Konuralp Journal of Mathematics 13 (2): 305-8. https://izlik.org/JA46ZM72TW.
EndNote
Özdemir Özbek Z, Çelik Kızılkan G, Aydın K (October 1, 2025) Newton Method with Iddm. Konuralp Journal of Mathematics 13 2 305–308.
IEEE
[1]Z. Özdemir Özbek, G. Çelik Kızılkan, and K. Aydın, “Newton Method with Iddm”, Konuralp J. Math., vol. 13, no. 2, pp. 305–308, Oct. 2025, [Online]. Available: https://izlik.org/JA46ZM72TW
ISNAD
Özdemir Özbek, Zeliha - Çelik Kızılkan, Gülnur - Aydın, Kemal. “Newton Method With Iddm”. Konuralp Journal of Mathematics 13/2 (October 1, 2025): 305-308. https://izlik.org/JA46ZM72TW.
JAMA
1.Özdemir Özbek Z, Çelik Kızılkan G, Aydın K. Newton Method with Iddm. Konuralp J. Math. 2025;13:305–308.
MLA
Özdemir Özbek, Zeliha, et al. “Newton Method With Iddm”. Konuralp Journal of Mathematics, vol. 13, no. 2, Oct. 2025, pp. 305-8, https://izlik.org/JA46ZM72TW.
Vancouver
1.Zeliha Özdemir Özbek, Gülnur Çelik Kızılkan, Kemal Aydın. Newton Method with Iddm. Konuralp J. Math. [Internet]. 2025 Oct. 1;13(2):305-8. Available from: https://izlik.org/JA46ZM72TW
