Hekmati, R. (2016). On Efficiency of Non-Monotone Adaptive Trust Region and Scaled Trust Region Methods in Solving Nonlinear Systems of Equations. Biquarterly Control and Optimization in applied Mathematics, 1(1), 31-40.
Rasoul Hekmati. "On Efficiency of Non-Monotone Adaptive Trust Region and Scaled Trust Region Methods in Solving Nonlinear Systems of Equations". Biquarterly Control and Optimization in applied Mathematics, 1, 1, 2016, 31-40.
Hekmati, R. (2016). 'On Efficiency of Non-Monotone Adaptive Trust Region and Scaled Trust Region Methods in Solving Nonlinear Systems of Equations', Biquarterly Control and Optimization in applied Mathematics, 1(1), pp. 31-40.
Hekmati, R. On Efficiency of Non-Monotone Adaptive Trust Region and Scaled Trust Region Methods in Solving Nonlinear Systems of Equations. Biquarterly Control and Optimization in applied Mathematics, 2016; 1(1): 31-40.
On Efficiency of Non-Monotone Adaptive Trust Region and Scaled Trust Region Methods in Solving Nonlinear Systems of Equations
In this paper we run two important methods for solving some well-known problems and make a comparison on their performance and efficiency in solving nonlinear systems of equations. One of these methods is a non-monotone adaptive trust region strategy and another one is a scaled trust region approach. Each of methods showed fast convergence in special problems and slow convergence in other ones; we try to categorize these problems and find out that which method has better numerical behavior. The robustness of methods is demonstrated by numerical experiments.
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