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Open AccessArticle

Higher-Order Iteration Schemes for Solving Nonlinear Systems of Equations

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Department of Mathematics, King Abdulaziz University, Campus Rabigh 21911, Saudi Arabia
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Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
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School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, India
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(10), 937; https://doi.org/10.3390/math7100937
Received: 23 August 2019 / Revised: 18 September 2019 / Accepted: 24 September 2019 / Published: 10 October 2019
(This article belongs to the Special Issue Iterative Methods for Solving Nonlinear Equations and Systems)
We present a three-step family of iterative methods to solve systems of nonlinear equations. This family is a generalization of the well-known fourth-order King’s family to the multidimensional case. The convergence analysis of the methods is provided under mild conditions. The analytical discussion of the work is upheld by performing numerical experiments on some application oriented problems. Finally, numerical results demonstrate the validity and reliability of the suggested methods.
Keywords: systems of nonlinear equations; King’s family; order of convergence; multipoint iterative methods systems of nonlinear equations; King’s family; order of convergence; multipoint iterative methods
MDPI and ACS Style

Alqahtani, H.F.; Behl, R.; Kansal, M. Higher-Order Iteration Schemes for Solving Nonlinear Systems of Equations. Mathematics 2019, 7, 937.

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