Authors : Nabiha Kahtan Dreeb, Karrar Habeeb Hashim, Mohammed Maad Mahdi, H.A. Wasi, Hasan Hadi Dwail, Mushtak A.K. Shiker and Hussein Ali Hussein
Abstract: In this study, we suggest a new projection algorithm for solving nonlinear systems of monotone equations. The projection methods are an efficient family of derivative free methods for solving nonlinear systems of monotone equation that is in each iteration, the current iterate is strictly separated from the solution set of the problem by an appropriate hyperplane that constructs by the new projection algorithm. Then the current iterate is projected onto this hyperplane to determine the new approximation. Under standard assumptions, the global convergence of the proposed algorithm are proved. The numerical experiments indicate the efficiency of the proposed algorithm.
Nabiha Kahtan Dreeb, Karrar Habeeb Hashim, Mohammed Maad Mahdi, H.A. Wasi, Hasan Hadi Dwail, Mushtak A.K. Shiker and Hussein Ali Hussein, 2019. Solving a Large-Scale Nonlinear System of Monotone Equations by using a Projection Technique. Journal of Engineering and Applied Sciences, 14: 10102-10108.