A class of steffensen-type iterative methods for nonlinear systems

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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. © 2014 F. Soleymani et al.

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APA

Soleymani, F., Sharifi, M., Shateyi, S., & Haghani, F. K. (2014). A class of steffensen-type iterative methods for nonlinear systems. Journal of Applied Mathematics, 2014. https://doi.org/10.1155/2014/705375

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