Numerical Methods for the Determination of Roots of Polynomials
The place of numerical approaches in determining the roots of polynomials cannot be overlooked. This is because the root of some polynomial equations cannot be determined by the analytic approaches and as such numerical methods have to be employed in doing so. In this research work, approximate root...
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| Format: | Article |
| Language: | English |
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Stefan cel Mare University of Suceava
2019-04-01
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| Series: | Journal of Applied Computer Science & Mathematics |
| Subjects: | |
| Online Access: | https://jacsm.ro/view/?pid=27_5 |
| _version_ | 1828276339790053376 |
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| author | Michael AJAH |
| author_facet | Michael AJAH |
| author_sort | Michael AJAH |
| collection | DOAJ |
| description | The place of numerical approaches in determining the roots of polynomials cannot be overlooked. This is because the root of some polynomial equations cannot be determined by the analytic approaches and as such numerical methods have to be employed in doing so. In this research work, approximate roots of polynomials were found using numerical methods (the Bisection method, the Newton's method and the Secant method). The aim is to find out the more accurate method that converges quickly to the root of the polynomial and also stable when compared to the exact solution. The numerical methods were used to find solutions to problems of polynomials, results were analyzed and we found out that the Secant method is a more accurate and reliable numerical method in determining roots of polynomials as compared to the Bisection and Newton's methods. |
| first_indexed | 2024-04-13T06:56:39Z |
| format | Article |
| id | doaj.art-1b0a7745f380446d98439f62a2a436bf |
| institution | Directory Open Access Journal |
| issn | 2066-4273 2066-3129 |
| language | English |
| last_indexed | 2024-04-13T06:56:39Z |
| publishDate | 2019-04-01 |
| publisher | Stefan cel Mare University of Suceava |
| record_format | Article |
| series | Journal of Applied Computer Science & Mathematics |
| spelling | doaj.art-1b0a7745f380446d98439f62a2a436bf2022-12-22T02:57:14ZengStefan cel Mare University of SuceavaJournal of Applied Computer Science & Mathematics2066-42732066-31292019-04-01131313810.4316/JACSM.201901005Numerical Methods for the Determination of Roots of PolynomialsMichael AJAH0Department of Mathematics, School of Pure and Applied Sciences, Modibbo Adama University of Technology, Yola, NigeriaThe place of numerical approaches in determining the roots of polynomials cannot be overlooked. This is because the root of some polynomial equations cannot be determined by the analytic approaches and as such numerical methods have to be employed in doing so. In this research work, approximate roots of polynomials were found using numerical methods (the Bisection method, the Newton's method and the Secant method). The aim is to find out the more accurate method that converges quickly to the root of the polynomial and also stable when compared to the exact solution. The numerical methods were used to find solutions to problems of polynomials, results were analyzed and we found out that the Secant method is a more accurate and reliable numerical method in determining roots of polynomials as compared to the Bisection and Newton's methods.https://jacsm.ro/view/?pid=27_5PolynomialRoot/solutionBisection MethodNewton's MethodSecant Method |
| spellingShingle | Michael AJAH Numerical Methods for the Determination of Roots of Polynomials Journal of Applied Computer Science & Mathematics Polynomial Root/solution Bisection Method Newton's Method Secant Method |
| title | Numerical Methods for the Determination of Roots of Polynomials |
| title_full | Numerical Methods for the Determination of Roots of Polynomials |
| title_fullStr | Numerical Methods for the Determination of Roots of Polynomials |
| title_full_unstemmed | Numerical Methods for the Determination of Roots of Polynomials |
| title_short | Numerical Methods for the Determination of Roots of Polynomials |
| title_sort | numerical methods for the determination of roots of polynomials |
| topic | Polynomial Root/solution Bisection Method Newton's Method Secant Method |
| url | https://jacsm.ro/view/?pid=27_5 |
| work_keys_str_mv | AT michaelajah numericalmethodsforthedeterminationofrootsofpolynomials |