ON TEACHING STUDENTS NEWTON'S METHOD OF SOLVING ONE-DIMENSIONAL OPTIMIZATION PROBLEMS
Abstract
We know that optimization is the selection of the best available options to achieve the highest efficiency in a process. One-dimensional optimization, that is, one-variable function optimization, is one of the simplest cases of optimization problems. Even so, such issues occupy an important place in the theory of optimization. The reason is that one-dimensional optimization problems are often encountered in engineering practice and are also widely used in complex multi-dimensional optimization problems.
References
2. Ivanov V.M. Numerical methods / V. M. Ivanov. - Yekaterinburg: Publishing house Ural. state economy un-ta, 2003. - 114 p.
3. Amosov A.A. Computational methods for engineers: textbook. allowance / A.A. Amosov, Yu.A. Dubinsky, N.V. Kopchenova. - M .: Higher. school., 1994. - 544 p.
4. Tikhonov A.N. Introductory lectures on applied mathematics / A.N. Tikhonov, D.P. Kostomarov. - M .: Nauka, 1984. - 192 p.
5. Volkov E.A. Numerical methods / E.A. Volkov.- M. : Nauka, 1982.-256 s
6. Rakhimov BS, Mekhmanov MS, Bekchanov BG. Parallel algorithms for the creation of medical database. J Phys Conf Ser. 2021;1889(2):022090. doi:10.1088/1742-6596/1889/2/022090
7. Rakhimov BS, Rakhimova FB, Sobirova SK. Modeling database management systems in medicine. J Phys Conf Ser. 2021;1889(2):022028. doi:10.1088/1742-6596/1889/2/022028
8. Rakhimov B, Ismoilov O. Management systems for modeling medical database. In: ; 2022:060031. doi:10.1063/5.0089711
9. Rakhimov BS, Khalikova GT, Allaberganov OR, Saidov AB. Overview of graphic processor architectures in data base problems. In: ; 2022:020041. doi:10.1063/5.0092848
10. Allaberganov, O.R., Rakhimov, B.S., Sobirova, S.K., Rakhimova, F.B., Saidov, A.B. Problem for Medical System with Infinite Zone Potential in the Half Line AIP Conference Proceedings, 2022, 2647, 050025
11. RB Saidovich, SA Bakhtiyarovich, BB Farkhodovich, KDA Ugli, MMZ Qizi Analysis And Using of the Features Graphics Processors for Medical Problems Texas Journal of Medical Science 7, 105-110
12. P. P. Kudryashov Algorithms for detecting a human face for solving applied problems of image analysis and processing: author. dis. Cand. tech. Sciences: 05.13.01. - M, 2007.
13. Tanenbaum E. Modern operating systems. 2nd ed. - SPb .: Peter, 2002 .-- 1040 p .: ill.
14. Forsyth DA, Pons, J. Computer vision. Modern approach / D.A. Forsyth, J. Pons: Trans. from English - M .: Publishing house "Williams", 2004. - 928 p .: ill. - Parallel. tit. English
15. Frolov V. Solution of systems of linear algebraic equations by the preconditioning method on graphic processor devices
16. Brodtkorb A.R., Dyken C., Hagen T.R., Hjelmervik J.M., Storaasli O.O. State-of-the-art in heterogeneous computing / A.R. Brodtkorb, C. Dyken, T.R. Hagen, J.M. Hjelmervik, O.O. Storaasli // Scientific Programming, T. 18, 2010. - S. 1-33.