Constructing a Class of Frozen Jacobian Multi-Step Iterative Solvers for Systems of Nonlinear Equations

R. H. Al-Obaidi and M. T. Darvishi ()
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R. H. Al-Obaidi: Department of Mathematics, Faculty of Science, Razi University, Kermanshah 67149, Iran
M. T. Darvishi: Department of Mathematics, Faculty of Science, Razi University, Kermanshah 67149, Iran

Mathematics, 2022, vol. 10, issue 16, 1-13

Abstract: In this paper, in order to solve systems of nonlinear equations, a new class of frozen Jacobian multi-step iterative methods is presented. Our proposed algorithms are characterized by a highly convergent order and an excellent efficiency index. The theoretical analysis is presented in detail. Finally, numerical experiments are presented for showing the performance of the proposed methods, when compared with known algorithms taken from the literature.

Keywords: iterative method; frozen Jacobian multi-step iterative method; system of nonlinear equations; high-order convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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