A SELF-ADAPTIVE PROJECTION METHOD FOR NONLINEAR MONOTONE EQUATIONS WITH CONVEX CONSTRAINTS

作者：Zhang, Ning; Liu, Jinkui^*

来源：Journal of Industrial and Management Optimization, 2023, 19(11): 8152-8163.

DOI：10.3934/jimo.2023034

• Nonlinear equations
• conjugate gradient method
• projection operator
• derivative-free projection method
• global convergence

In this paper, we propose a self-adaptive derivative-free projection method for solving large-scale nonlinear monotone equations with convex con-straints. The search direction satisfies the sufficient descent property, which is independent of any line search. Based on the Lipschitz continuity and mono-tonicity property, the proposed method is shown to be globally convergent. Moreover, the numerical results are reported to show the effectiveness of the proposed method by comparing with the existing current methods.

• 单位
  jk