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作品数：69被引量：91H指数：4
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相关机构：山西工程职业技术学院广西大学北京师范大学香港大学更多>>
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Approximate Customized Proximal Point Algorithms for Separable Convex Optimization
《Journal of the Operations Research Society of China》2023年第2期383-408,共26页Hong-Mei Chen Xing-Ju Cai Ling-Ling Xu 
the National Natural Science Foundation of China(Nos.11971238 and 11871279)。
Proximal point algorithm(PPA)is a useful algorithm framework and has good convergence properties.Themain difficulty is that the subproblems usually only have iterative solutions.In this paper,we propose an inexact cus...
关键词：Inexact criteria Proximal point algorithm Alternating direction method of multipliers Separable convex programming 
Inexact Operator Splitting Method for Monotone Inclusion Problems
《Journal of the Operations Research Society of China》2021年第2期273-306,共34页Yuan-Yuan Huang Chang-He Liu You-Lin Shang 
This work was partially supported by the National Natural Science Foundations of China(Nos.11471102 and 11701150);the Key Basic Research Foundation of the Higher Education Institutions of Henan Province(No.16A110012).
The Douglas–Peaceman–Rachford–Varga operator splitting methods are a class ofefficient methods for finding a zero of the sum of two maximal monotone operatorsin a real Hilbert space;however, they are sometimes diff...
关键词：Monotone operator Splitting methods Convergence properties Error criterion 
Global Complexity Bound of the Inexact Levenberg–Marquardt Method
《Journal of the Operations Research Society of China》2018年第3期417-428,共12页Jian-Chao Huang Jin-Yan Fan 
This work was partially supported by the National Natural Science Foundation of China(No.11571234).
In this paper,we investigate the global complexity bound for the inexact Levenberg–Marquardt method,where the Jacobian may be perturbed and the solution is possibly not exact.Under reasonable assumptions,we show that...
关键词：Global complexity bound Inexact Levenberg–Marquardt method Nonlinear equations 
On the Convergence Rate of an Inexact Proximal Point Algorithm for Quasiconvex Minimization on Hadamard Manifolds被引量：2
《Journal of the Operations Research Society of China》2017年第4期457-467,共11页Nancy Baygorrea Erik Alex Papa Quiroz Nelson Maculan 
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior of the Federal University of Rio de Janeiro(UFRJ),Brazil.
In this paper,we present an analysis about the rate of convergence of an inexact proximal point algorithm to solve minimization problems for quasiconvex objective functions on Hadamard manifolds.We prove that under na...
关键词：Proximal point method Quasiconvex function Hadamard manifolds Nonsmooth optimization Abstract subdifferential Convergence rate 
An Inexact Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems
《Journal of the Operations Research Society of China》2017年第4期545-561,共17页Lennin Mallma Ramirez Erik Alex Papa Quiroz P.R.Oliveira 
the E.A.Papa Quiroz was supported by the Postdoctoral Scholarship CAPES-Fundação de AmparoàPesquisa do Estado do Rio de Janeiro(No.EditalPAPD-2011);P.R.Oliveira’s research was partially supported by Conselho Nacional de Desemvolvimento Científico e Tecnológico.
In this paper,we propose an inexact proximal point method to solve equilibrium problems using proximal distances and the diagonal subdifferential.Under some natural assumptions on the problem and the quasimonotonicit...
关键词：Equilibrium problems Quasimonotonicity Proximal distance Proximal method 
On the Convergence Rate of a Proximal Point Algorithm for Vector Function on Hadamard Manifolds被引量：1
《Journal of the Operations Research Society of China》2017年第3期405-417,共13页Feng-Mei Tang Ping-Liang Huang 
The proximal point algorithm has many interesting applications,such as signal recovery,signal processing and others.In recent years,the proximal point method has been extended to Riemannian manifolds.The main advantag...
关键词：Inexact proximal point algorithm Hadamard manifolds Convergence rate Pareto critical point Pareto optimal point 
Inexact Proximal Point Methods for Quasiconvex Minimization on Hadamard Manifolds被引量：1
《Journal of the Operations Research Society of China》2016年第4期397-424,共28页Nancy Baygorrea Erik Alex Papa Quiroz Nelson Maculan 
In this paper we present two inexact proximal point algorithms to solve minimization problems for quasiconvex objective functions on Hadamard manifolds.We prove that under natural assumptions the sequence generated by...
关键词：Proximal point method Quasiconvex function Hadamard manifolds Nonsmooth optimization Abstract subdifferential 
An Efficient Inexact Newton-CG Algorithm for the Smallest Enclosing Ball Problem of Large Dimensions被引量：1
《Journal of the Operations Research Society of China》2016年第2期167-191,共25页Ya-Feng Liu Rui Diao Feng Ye Hong-Wei Liu 
the National Natural Science Foundation of China(Nos.11331012 and 11301516).
In this paper,we consider the problem of computing the smallest enclosing ball(SEB)of a set of m balls in Rn,where the product mn is large.We first approximate the non-differentiable SEB problem by its log-exponentia...
关键词：Smallest enclosing ball Smoothing approximation Inexact gradient Inexact Newton-CG algorithm Global convergence 
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