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Engineering with Computers

Three-step iterative methods for numerical solution of systems of nonlinear equations

  • 02-07-2020
  • Original Article
Published in:
Authors
Mehdi Dehghan
Akbar Shirilord
Published in
Engineering with Computers | Issue 2/2022

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Abstract

In this paper, we introduce seventh- and sixth-order methods for solving the systems of nonlinear equations. The convergence analysis of the proposed methods is provided. The computational efficiency for these methods is \( 6^{1/(3n+2n^2)} \) and \( 7^{1/(4n+2n^2)} \). Computational efficiency of new methods is compared with Newton’s method and some other recently published methods. Numerical examples are included to demonstrate the validity and applicability of the methods and comparison is made with the existing results.

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previous article Symbolic regression metamodel-based optimal design of patient-specific spinal implant (pedicle screw fixation)
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Title
Three-step iterative methods for numerical solution of systems of nonlinear equations
Authors
Mehdi Dehghan
Akbar Shirilord
Publication date
02-07-2020
Publisher
Springer London
Published in
Engineering with Computers / Issue 2/2022
Print ISSN: 0177-0667
Electronic ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-020-01072-1
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