A restart derivative-free algorithm for solving pseudomonotone equations

Key Points

• The proposed algorithm effectively addresses pseudomonotone equations using a derivative-free approach, leading to stable solutions.
• Convergence rates measure performance improvements, with instances showing reductions in iteration counts by over 30%.
• Assessment using fixed-point iteration demonstrates a reliable framework for optimization without requiring derivatives.
• This study highlights the potential for further enhancements in derivative-free methods, reinforcing the need for innovative numerical strategies.