A novel two-step iterative method based on real interval arithmetic for finding enclosures of roots of systems of nonlinear equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 216، دوره 13، شماره 2، مهر 2022، صفحه 2685-2695 اصل مقاله (434.94 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24572.2773 | ||
| نویسندگان | ||
| Tahereh Eftekhari* 1؛ Effat Golpar-Raboky2 | ||
| 1School of Mathematics, Iran University of Science and Technology (IUST), Narmak, Tehran, Iran | ||
| 2Department of Mathematics, Faculty of Sciences, University of Qom, Qom, Iran | ||
| چکیده | ||
| In the present paper, a novel two-step iterative method, based on real interval arithmetic, is produced. By using this method, we obtain enclosures of roots of systems of nonlinear equations. Discussion on the convergence analysis for the produced method is presented. The efficiency, accuracy, and validity of this method are demonstrated by its application to four implemented examples with INTLAB and by comparing our results with the results obtained by other methods available in the literature. | ||
| کلیدواژهها | ||
| Interval arithmetic؛ Iterative methods؛ Systems of nonlinear equations؛ Convergence analysis | ||
| مراجع | ||
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