Research Article

Newton Method with Iddm

Volume: 13 Number: 2 October 31, 2025
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. [1] Remani C.,Numerical methods for solving systems of nonlinear equations, Lakehead University Thunder Bay, Ontario, Canada, 2013.
  2. [2] Burden, R. L. and Faires, J. D., Numerical analysis, Ninth Edition, Cengage learning, 2015.
  3. [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. [4] Keskin, T. and Aydın, K., Iterative decreasing dimension algorithm, Comput. Math. Appl., vol:53, No.7 (2007), 1153-1158.
  5. [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. [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
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