Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2014, Special Issue (2014), Article ID 705375, 9 pages.

A Class of Steffensen-Type Iterative Methods for Nonlinear Systems

F. Soleymani, M. Sharifi, S. Shateyi, and F. Khaksar Haghani

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Abstract

A class of iterative methods without restriction on the computation of Fréchet derivatives including multisteps for solving systems of nonlinear equations is presented. By considering a frozen Jacobian, we provide a class of m-step methods with order of convergence m+1. A new method named as Steffensen-Schulz scheme is also contributed. Numerical tests and comparisons with the existing methods are included.

Article information

Source
J. Appl. Math., Volume 2014, Special Issue (2014), Article ID 705375, 9 pages.

Dates
First available in Project Euclid: 1 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1412178031

Digital Object Identifier
doi:10.1155/2014/705375

Mathematical Reviews number (MathSciNet)
MR3198398

Citation

Soleymani, F.; Sharifi, M.; Shateyi, S.; Haghani, F. Khaksar. A Class of Steffensen-Type Iterative Methods for Nonlinear Systems. J. Appl. Math. 2014, Special Issue (2014), Article ID 705375, 9 pages. doi:10.1155/2014/705375. https://projecteuclid.org/euclid.jam/1412178031


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