凸约束方程组的新型无导数算法及在信号重构中的应用

Novel Derivative-Free Algorithm for Convex Constrained Equations and Its Application in Signal Reconstruction

提出一种新型无导数算法,以解决凸约束非线性方程组问题.该算法利用改进的共轭参数设计搜索方向,以确保算法的充分下降性和信赖域特性.在适当的假设下,该算法具有全局收敛性.数值仿真结果表明,该算法在处理凸约束非线性方程组问题和信号重构问题时具有高效性和鲁棒性.

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.