A Numerical Technique for Solving Optimization Problems
The aim of this paper is to calculate a better approximation value (whether it is maximize or minimize ) for one- and two-dimensional nonlinear equations using the best numerical optimization algorithms, which is Newton's method. The idea of this technique is based on approximating the functio...
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| Format: | Article |
| Language: | English |
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College of Education for Pure Sciences
2023-12-01
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| Series: | Wasit Journal for Pure Sciences |
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| Online Access: | https://wjps.uowasit.edu.iq/index.php/wjps/article/view/92 |
| _version_ | 1827204934221692928 |
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| author | Safaa M. Aljassas Ahmed Sabah Al-Jilawi |
| author_facet | Safaa M. Aljassas Ahmed Sabah Al-Jilawi |
| author_sort | Safaa M. Aljassas |
| collection | DOAJ |
| description |
The aim of this paper is to calculate a better approximation value (whether it is maximize or minimize ) for one- and two-dimensional nonlinear equations using the best numerical optimization algorithms, which is Newton's method. The idea of this technique is based on approximating the function by expanding the Taylor series expansion and iteratively updating the estimate of the optimal solution. we have obtained good results in terms of accuracy and speed of approach, as shown in the examples mentioned. We also mentioned the applications of Newton’s method in multiple disciplines, including engineering, physics, economics, finance, computer graphics, machine learning, image processing, and other applications.
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| first_indexed | 2024-03-07T18:48:27Z |
| format | Article |
| id | doaj.art-845fed9f1b534789b72735d753375a29 |
| institution | Directory Open Access Journal |
| issn | 2790-5233 2790-5241 |
| language | English |
| last_indexed | 2025-03-21T12:00:16Z |
| publishDate | 2023-12-01 |
| publisher | College of Education for Pure Sciences |
| record_format | Article |
| series | Wasit Journal for Pure Sciences |
| spelling | doaj.art-845fed9f1b534789b72735d753375a292024-06-30T17:30:05ZengCollege of Education for Pure SciencesWasit Journal for Pure Sciences2790-52332790-52412023-12-012410.31185/wjps.92A Numerical Technique for Solving Optimization ProblemsSafaa M. AljassasAhmed Sabah Al-Jilawi The aim of this paper is to calculate a better approximation value (whether it is maximize or minimize ) for one- and two-dimensional nonlinear equations using the best numerical optimization algorithms, which is Newton's method. The idea of this technique is based on approximating the function by expanding the Taylor series expansion and iteratively updating the estimate of the optimal solution. we have obtained good results in terms of accuracy and speed of approach, as shown in the examples mentioned. We also mentioned the applications of Newton’s method in multiple disciplines, including engineering, physics, economics, finance, computer graphics, machine learning, image processing, and other applications. https://wjps.uowasit.edu.iq/index.php/wjps/article/view/92numerical algorithm, Newton's method, nonlinear equations The Hessian matrix, Gradient of a function. numerical algorithm, Newton's method, nonlinear equations The Hessian matrix, Gradient of a function. |
| spellingShingle | Safaa M. Aljassas Ahmed Sabah Al-Jilawi A Numerical Technique for Solving Optimization Problems Wasit Journal for Pure Sciences numerical algorithm, Newton's method, nonlinear equations The Hessian matrix, Gradient of a function. numerical algorithm, Newton's method, nonlinear equations The Hessian matrix, Gradient of a function. |
| title | A Numerical Technique for Solving Optimization Problems |
| title_full | A Numerical Technique for Solving Optimization Problems |
| title_fullStr | A Numerical Technique for Solving Optimization Problems |
| title_full_unstemmed | A Numerical Technique for Solving Optimization Problems |
| title_short | A Numerical Technique for Solving Optimization Problems |
| title_sort | numerical technique for solving optimization problems |
| topic | numerical algorithm, Newton's method, nonlinear equations The Hessian matrix, Gradient of a function. numerical algorithm, Newton's method, nonlinear equations The Hessian matrix, Gradient of a function. |
| url | https://wjps.uowasit.edu.iq/index.php/wjps/article/view/92 |
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