Abstract: We  proposed a novel derivative-free algorithm  to solve convex constrained nonlinear equation systems. The  algorithm utilized improved conjugate parameters to design a search direction, ensuring sufficient descent and trust region characteristics of the algorithm. Under appropriate assumptions, the  algorithm had  global convergence. Numerical simulation results show that the  algorithm has high  efficiency and robustness in handling convex constrained nonlinear equation systems and signal reconstruction problems.

Key words: convex constrained nonlinear , equation systems, derivative-free, global convergence, signal reconstruction