GLOBAL_CONVERGENCE

作品数:217被引量:379H指数:10
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A Modified PRP-HS Hybrid Conjugate Gradient Algorithm for Solving Unconstrained Optimization Problems
《应用数学》2025年第2期553-564,共12页LI Xiangli WANG Zhiling LI Binglan 
Supported by the Science and Technology Project of Guangxi(Guike AD23023002)。
In this paper,we propose a three-term conjugate gradient method for solving unconstrained optimization problems based on the Hestenes-Stiefel(HS)conjugate gradient method and Polak-Ribiere-Polyak(PRP)conjugate gradien...
关键词:Conjugate gradient method Unconstrained optimization Sufficient descent condition Global convergence 
A nonmonotone inexact Broyden-like algorithm for nonlinear complementarity problems
《Frontiers of Mathematics in China》2025年第1期25-37,共13页Xiaomei DING Ping WANG Changfeng MA 
In this paper,by constructing a new smoothing complementary function,we reformulate the nonlinear complementarity problem as a nonlinear smooth system of equations.Combining non-monotonic line search techniques with a...
关键词:Complementarity problem global convergence local quadratic convergence Broyden-like algorithm 
GLOBAL CONVERGENCE OF A CAUTIOUS PROJECTION BFGS ALGORITHM FOR NONCONVEX PROBLEMS WITHOUT GRADIENT LIPSCHITZ CONTINUITY
《Acta Mathematica Scientia》2024年第5期1735-1746,共12页Gonglin YUAN Xiong ZHAO Jiajia YU 
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.
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 gr...
关键词:cautious BFGS nonconvex problems Lipschitz continuity projection technique global convergence 
A New Two-Parameter Family of Nonlinear Conjugate Gradient Method Without Line Search for Unconstrained Optimization Problem
《Wuhan University Journal of Natural Sciences》2024年第5期403-411,共9页ZHU Tiefeng 
Supported by 2023 Inner Mongolia University of Finance and Economics,General Scientific Research for Universities directly under Inner Mon‐golia,China (NCYWT23026);2024 High-quality Research Achievements Cultivation Fund Project of Inner Mongolia University of Finance and Economics,China (GZCG2479)。
This paper puts forward a two-parameter family of nonlinear conjugate gradient(CG)method without line search for solving unconstrained optimization problem.The main feature of this method is that it does not rely on a...
关键词:unconstrained optimization conjugate gradient method without line search global convergence 
An Adaptive Spectral Conjugate Gradient Method with Restart Strategy
《数学理论与应用》2024年第3期106-118,共13页Zhou Jincheng Jiang Meixuan Zhong Zining Wu Yanqiang Shao Hu 
supported by the National Natural Science Foundation of China(No.72071202);the Key Laboratory of Mathematics and Engineering Applications,Ministry of Education。
As a generalization of the two-term conjugate gradient method(CGM),the spectral CGM is one of the effective methods for solving unconstrained optimization.In this paper,we enhance the JJSL conjugate parameter,initiall...
关键词:Unconstrained optimization Spectral conjugate gradient method Restart strategy Inexact line search Global convergence 
Cyclic Gradient Methods for Unconstrained Optimization
《Journal of the Operations Research Society of China》2024年第3期809-828,共20页Ya Zhang Cong Sun 
supported by the National Natural Science Foundation of China(Nos.12171051 and 11871115)。
Gradient method is popular for solving large-scale problems.In this work,the cyclic gradient methods for quadratic function minimization are extended to general smooth unconstrained optimization problems.Combining wit...
关键词:Gradient method Unconstrained optimization Nonmonotonic line search Global convergence 
Global convergence in terrestrial gross primary production response to atmospheric vapor pressure deficit被引量:1
《Science China(Life Sciences)》2024年第9期2016-2025,共10页Chao Huang Jingfeng Huang Jingfeng Xiao Xing Li Hong SHe Yu Liang Fusheng Chen Hanqin Tian 
supported by the Chinese National Science Foundational Project(32160292,32171759,and 31930070);the National Key Research and Development Program of China(2017YFA0604403 and 2016YFA0600804);JIANGXI DOUBLE THOUSAND PLANS(jxsq2020101080);the Natural Science Foundation of Jiangxi province(20224BAB205008);supported by University of New Hampshire。
Atmospheric vapor pressure deficit(VPD)increases with climate warming and may limit plant growth.However,gross primary production(GPP)responses to VPD remain a mystery,offering a significant source of uncertainty in t...
关键词:atmospheric water demands soil moisture stomatal conductance PHOTOSYNTHESIS climate warming 
A Weighted Flow related to a Trudinger–Moser Functional on Closed Riemann Surface
《Acta Mathematica Sinica,English Series》2024年第9期2244-2262,共19页Peng Xiu YU 
supported by the Outstanding Innovative Talents Cultivation Funded Programs 2023 of Renmin University of China。
In this paper,with(Σ,g)being a closed Riemann surface,we analyze the possible concentration behavior of a heat flow related to the Trudinger–Moser energy.We obtain a long time existence for the flow.And along some s...
关键词:Trudinger-Moser inequality global convergence heat flow 
Jiangsu’s Mission to Serve a New Development Pattern and Build a Two-Way Opening Hub of Global Convergence
《Contemporary World》2024年第3期2-7,共6页Xin Changxing 
As the first industrial park built by China in cooperation with a foreign government,Suzhou Industrial Park has become an important window for China’s reform and opening-up and a successful example of international c...
关键词:SERVE Pattern BUILD 
ANonmonotone Projected Gradient Method for Multiobjective Problems on Convex Sets
《Journal of the Operations Research Society of China》2024年第2期410-427,共18页Gabrie Anibal Carrizo Nadia Soledad Fazzio Maria Laura Schuverdt 
ANPCyT(Nos.PICT 2016-0921 and PICT 2019-02172),Argentina.
In this work we consider an extension of the classical scalar-valued projected gradient method for multiobjective problems on convex sets.As in Fazzio et al.(Optim Lett 13:1365-1379,2019)a parameter which controls the...
关键词:Multiobjective optimization Projected gradient methods Nonmonotone line search Global convergence 
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