Higher-Order Iteration Schemes for Solving Nonlinear Systems of Equations

Hessah Faihan Alqahtani, Ramandeep Behl and Munish Kansal
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Hessah Faihan Alqahtani: Department of Mathematics, King Abdulaziz University, Campus Rabigh 21911, Saudi Arabia
Ramandeep Behl: Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Munish Kansal: School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, India

Mathematics, 2019, vol. 7, issue 10, 1-14

Abstract: 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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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