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Biquarterly Control and Optimization in applied Mathematics
Articles in Press
Current Issue
Journal Archive
Volume Volume 1 (2016)

On Efficiency of Non-Monotone Adaptive Trust Region and Scaled Trust Region Methods in Solving Nonlinear Systems of Equations

Article 3, Volume 1, Issue 1, Spring and Summer 2016, Page 31-40  XML PDF (481 K)
Document Type: بنیادی - نظری
Authors
Rasoul Hekmati
University of Houston
Abstract
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.
Keywords
Non-monotone adaptive; Scaled trust region; Nonlinear systems of equations; Numerical comparison
Main Subjects
Optimization
Statistics
Article View: 2,084
PDF Download: 1,882
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