Solving Non-Linear Systems of Equations by Using a New Line Search Algorithm

The line search has undergone numerous important improvements throughout the years, with many researchers concentrating on offering and developing developments that are suitable techniques to solve non-linear systems, after which more algorithms have been presented for solving these systems. This study suggests a new line search algorithm termed (D.H) that solving non-linear equation systems and can decreases the CPU time, number of iterations, and number of function evaluations while. Additionally, When the supplied equation is monotone and (LC), we show that the suggested approach converges globally. The numerical experiment proves the goodness of this method and promises for solving non-linear monotone systems of equations.