A novel two-step iterative method based on real interval arithmetic for finding enclosures of roots of systems of nonlinear equations
نویسندگان
1 School of Mathematics, Iran University of Science and Technology (IUST), Narmak, Tehran, Iran
2 Department of Mathematics, Faculty of Sciences, University of Qom, Qom, Iran
doi
10.22075/ijnaa.2022.24572.2773چکیده
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.
