应用数学2023，Vol.36Issue(4)：951-960,10.
一个无需Lipschitz连续性的混合自适应共轭梯度投影法及其应用
A Hybrid Self-adaptive Conjugate Gradient Projection Method Without Lipschitz Continuity and Its Applications
摘要
Abstract
The conjugate gradient projection method is an effective algorithm for solving large-scale nonlinear monotone equations with convex constraints.In this paper,based on the four classical conjugate parameters,an effective hybrid self-adaptive conjugate gradient projection method is proposed by using hybridization strategy and projection technique.The search direction satisfies the sufficient descent and trust region properties independent of any line search.The global convergence of the new method is analyzed and proved without the Lipschitz continuity assumption.The results of the numerical experiments show the computational efficiency of the proposed method.Finally,the applicability of the new method is verified by some numerical experiments on sparse signal restoration.关键词
非线性单调方程组/共轭梯度投影法/收敛性/压缩感知Key words
Nonlinear monotone equations/Conjugate gradient projection method/Convergence property/Compressed sensing分类
数理科学引用本文复制引用
袁梓航,王云,刘鹏杰,卓越,周金诚..一个无需Lipschitz连续性的混合自适应共轭梯度投影法及其应用[J].应用数学,2023,36(4):951-960,10.基金项目
Supported by the National Natural Science Foundation of China(72071202),Postgraduate Research & Practice Innovation Program of Jiangsu Province(KYCX22_2491),Graduate Innovation Program of China University of Mining and Technology(2022WLKXJ021)and Undergradu-ate Training Program for Innovation and Entrepreneurial,China University of Mining and Technology(202210290205Y) （72071202）
