Solving convex monotone equations by a modified projection technique
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Keywords:
constrained optimization problems, projection method, monotonic equationsAbstract
Optimization problems are divided into constrained optimization problems and unconstrained optimization problems. Most real-world problems fall into constrained optimization problems involving linear or non-linear constraints. To overcome these obstacles, numerical optimization is resorted to, which includes several methods and techniques to find the optimal solution. One effective technique for solving optimization problems is the projection method, and We used a new projection technique to solve large non-linear monotonic equations with convex constraints. Large-scale monotonic nonlinear equations can be solved using the enhanced method., which also has the advantage of requiring less memory. It is shown that under the correct conditions, the proposed method is globally convergent, and numerical results support its effectiveness.
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