An innovative secant technique for minima one variable problems
Yoksal A. Laylaniyuksel@uokirkuk.edu.iqDepartment of MathematicsCollege of SciencesUniversity of KirkukKirkuk, 36001, Iraq0000-0003-4898-5083View full profile → , Suaad M. AbdullahSuaad.M.Abdullah@gmail.comDepartment of MathematicsCollege of SciencesUniversity of KirkukKirkuk, 36001, Iraq0009-0001-9205-414XView full profile → , *Basim A. HassanCorresponding authorbasimah@uomosul.edu.iqbasimabas39@gmail.comDepartment of MathematicsCollege of Computers Sciences and MathematicsUniversity of MosulMosul, 41002, Iraq0000-0003-3510-9818View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Jun 2024
- Published Online:
- 13 Feb 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1805
- Pages:
- 115–121
Abstract
Keywords
Subject Classifications
References
[1] S. S. Rao, Engineering Optimization: Theory and Practice (2019). [Online]. Available: https://doi.org/10.1002/9781119454816.
[2] A. Y. Özban, “Some new variants of Newton’s method,” Appl. Math. Lett., vol. 17, no. 6 (2004). [Online]. Available: https://doi.org/10.1016/S0893-9659(04)90104-8.
[3] S. Weerakoon and T. G. I. Fernando, “A variant of Newton’s method with accelerated third-order convergence,” Appl. Math. Lett., vol. 13, no. 8 (2000). [Online]. Available: https://doi.org/10.1016/S0893-9659(00)00100-2.
[4] Y. Jin, H. Wang, and C. Sun, “Introduction to optimization,” in Studies in Computational Intelligence, vol. 975 (2021). [Online]. Available: https://doi.org/10.1007/978-3-030-74640-7_1.
[5] E. S. Al-Rawi, B. A. Hassan, and B. M. Sulaiman, “A new secant type method for solving one-variable functions,” Italian J. Pure Appl. Math., vol. 47 (2022).
[6] B. M. Sulaiman, B. A. Hassan, and R. M. Sulaiman, “A new secant method for minima one-variable problems,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1015-1021 (2023). [Online]. Available: https://doi.org/10.47974/JIM-1601.
[7] Z. F. Salih, B. A. Hassan, and B. M. Sulaiman, “A new secant type method with quadratic-order convergence,” Eur. J. Pure Appl. Math., vol. 15, no. 3 (2022). [Online]. Available: https://doi.org/10.29020/nybg.ejpam.v15i3.4460.
[8] B. A. Hassan and E. S. Al-Rawi, “A modified Newton’s method for solving functions of one variable,” Italian J. Pure Appl. Math., vol. 46 (2021).
[9] M. Frontini and E. Sormani, “Some variant of Newton’s method with third-order convergence,” Appl. Math. Comput., vol. 140, no. 2-3 (2003). [Online]. Available: https://doi.org/10.1016/S0096-3003(02)00238-2.
[10] M. Frontini and E. Sormani, “Modified Newton’s method with third-order convergence and multiple roots,” J. Comput. Appl. Math., vol. 156, no. 2 (2003). [Online]. Available: https://doi.org/10.1016/S0377-0427(02)00920-2.
[11] H. H. H. Homeier, “A modified Newton method with cubic convergence: The multivariate case,” J. Comput. Appl. Math., vol. 169, no. 1 (2004). [Online]. Available: https://doi.org/10.1016/j.cam.2003.12.041.
[12] H. H. H. Homeier, “On Newton-type methods with cubic convergence,” J. Comput. Appl. Math., vol. 176, no. 2 (2005). [Online]. Available: https://doi.org/10.1016/j.cam.2004.07.027.
[13] Y. X. Yuan, “A modified BFGS algorithm for unconstrained optimization,” IMA J. Numer. Anal., vol. 11, no. 3, pp. 325-338 (1991). [Online]. Available: https://doi.org/10.1093/imanum/11.3.325.
[14] R. L. Rardin, Optimization in Operations Research, 6th ed., Library of Congress Cataloging-Person (2015).
[15] M. R. Farahani, S. Jafari, S. A. Mohiuddine, and M. Cancan, “Intuitionistic fuzzy stability of generalized additive set-valued functional equation via fixed point method,” Mathematical Statistician and Engineering Applications, vol. 71, no. 3s3, pp. 142-154 (2022). [Online]. Available: https://www.philstat.org.ph/index.php/MSEA/article/view/355.
[16] M. R. Farahani, J. E. N. Valdes, M. Cancan, S. Jafari, and C. Park, “Fuzzy stability in the sense of Hyers-Ulam-Rassias of a functional equation on quadratic forms,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1355-1365 (2023). [Online]. Available: https://doi.org/10.47974/JIM-1633.
[17] S. M. Kadham and M. A. Mustafa, “Medical applications of the new-transform,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1341-1353 (2023). [Online]. Available: https://doi.org/10.47974/JIM-1632.
[18] S. M. Kadham and M. A. Mustafa, “Fuzzy SHmath. Mbio-transform generalization and application to skin cancer imaging (distributed diseases),” J. Interdiscip. Math., vol. 26, no. 6, pp. 1031-1042 (2023). [Online]. Available: https://doi.org/10.47974/JIM-1603.
[19] R. H. Hasan, M. A. Kadhim, and A. M. Darweesh, “Fuzzy partial T-transforms applied to a system of PDE,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1099-1107 (2023). [Online]. Available: https://doi.org/10.47974/JIM-1609.
[20] S. Jafari, M. R. Farahani, and M. Rajesh, “Double fuzzy rarely continuous functions,” Ann. Fuzzy Math. Inform., vol. 26, no. 1, pp. 35-45 (2023).
