Authors : Karrar Habeeb Hashim, Nabiha Kahtan Dreeb, Hasan Hadi Dwail, Mohammed Maad Mahdi, H.A. Wasi, Mushtak A.K. Shiker and Hussein Ali Hussein
Abstract: In this study, we suggest a new line search algorithm for solving nonlinear systems of equations such that we combine a monotone technique into a modified line search rule. The new proposed algorithm can decrease the CPU time, the number of iterations and the function evaluations and can increase the efficiency of the approach. Under some standard conditions, the global convergence of the algorithm is proved. Preliminary numerical results shows that the new algorithm is promised for solving nonlinear systems of equations monotone equations.
Karrar Habeeb Hashim, Nabiha Kahtan Dreeb, Hasan Hadi Dwail, Mohammed Maad Mahdi, H.A. Wasi, Mushtak A.K. Shiker and Hussein Ali Hussein, 2019. A New Line Search Method to Solve the Nonlinear Systems of Monotone Equations. Journal of Engineering and Applied Sciences, 14: 10080-10086.