A novel two-step iterative method based on real interval arithmetic for finding enclosures of roots of systems of nonlinear equations
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.
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Interval extensions of the Halley method and its modified method for finding enclosures of roots of nonlinear equations
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Computational Methods for Differential Equations, Spring 2020 -
A new family of four-step fifteenth-order root-finding methods with high efficiency index
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Computational Methods for Differential Equations, Winter 2015