A Class of Steffensen-Type Iterative Methods for Nonlinear Systems-Reference-Cited by-同舟云学术

A Class of Steffensen-Type Iterative Methods for Nonlinear Systems

Published:2014 Issue: Volume:2014 Page:1-9
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Soleymani F.¹,Sharifi M.¹,Shateyi S.²,Haghani F. Khaksar¹

Affiliation:

1. Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran

2. Department of Mathematics, University of Venda, Private Bag Box X5050, Thohoyandou 0950, South Africa

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 ofm-step methods with order of convergencem+1. A new method named as Steffensen-Schulz scheme is also contributed. Numerical tests and comparisons with the existing methods are included.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2014/705375.pdf

Reference18 articles.

1. Prentice-Hall Series in Automatic Computation,1964

2. An Efficient Higher-Order Quasilinearization Method for Solving Nonlinear BVPs

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