A New C. G. Technique to Solve Non-Linear Systems of Equations

A new three-term CG technique, known as (DHA), was suggested in this study to solve system of non-linear equations. This technique combines three different techniques: line search technique, conjugate gradient technique, and projection technique. We prove that, under plausible assumptions, the suggested technique is globally convergent. This approach could be more successful because it requires less CPU time, less function evaluation, and fewer iterations. As a result of its simplicity and memory restrictions, it works well with large-scale equations. The numerical results show how effective and beneficial this strategy is for solving non-linear systems of equations.