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Derivative free iterative methods for nonlinear systems
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DOI：10.1016/j.amc.2015.03.026.png)
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Abstract
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In this work we introduce a new operator of divided differences that preserves the convergence order when it is used for approximating the Jacobian matrix in iterative method for solving nonlinear systems. We obtain derivative free iterative methods with lower computational cost than the corresponding ones with different operators of divided differences. We also study the global convergence of these methods by analyzing their dynamical behavior. (C) 2015 Elsevier Inc. All rights reserved.
Keywords:
Divided differences
Nonlinear systems
Iterative methods
Convergence order
Dynamical properties
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