摘要
A cautious projection BFGS method is proposed for solving nonconvex unconstrained optimization problems.The global convergence of this method as well as a stronger general convergence result can be proven without a gradient Lipschitz continuity assumption,which is more in line with the actual problems than the existing modified BFGS methods and the traditional BFGS method.Under some additional conditions,the method presented has a superlinear convergence rate,which can be regarded as an extension and supplement of BFGS-type methods with the projection technique.Finally,the effectiveness and application prospects of the proposed method are verified by numerical experiments.
作者
Gonglin YUAN
Xiong ZHAO
Jiajia YU
袁功林;赵雄;余家佳(School of Mathematics and Information Science,Center for Applied Mathematics of Guangxi(Guangxi University),Guangxi University,Nanning,530004,China)
基金
supported by the Guangxi Science and Technology base and Talent Project(AD22080047)
the National Natural Science Foundation of Guangxi Province(2023GXNFSBA 026063)
the Innovation Funds of Chinese University(2021BCF03001)
the special foundation for Guangxi Ba Gui Scholars.
