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Projection and Contraction Methods for Nonlinear Complementarity Problem 被引量:2
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作者 Zhao She-feng, Fei Pu-sheng College of Mathematics and Computer Science,Wuhan University,Wuhan 430072,China 《Wuhan University Journal of Natural Sciences》 EI CAS 2000年第4期391-396,共6页
We applied the projection and contraction method to nonlinear complementarity problem (NCP). Moveover, we proposed an inexact implicit method for (NCP) and proved the convergence.
关键词 nonlinear complementarity problem projection and contraction method implicit method
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THE CONTRACTION LINEAR METRIC PROJECTIONS IN L_p SPACES
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作者 Song Wenhua (Hebei University of Economics, China) 《Approximation Theory and Its Applications》 2002年第4期20-30,共11页
In this paper, we study the contraction linearity for metric projection in L p spaces. A geometrical property of a subspace Y of L p is given on which P Y is a contraction projection.
关键词 THE contraction LINEAR METRIC projectionS IN L_p SPACES
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A Projection and Contraction Method for P-Order Cone Constraint Stochastic Variational Inequality Problem
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作者 Mengdi Zheng Xiaohui Xu Juhe Sun 《Journal of Applied Mathematics and Physics》 2022年第4期1113-1125,共13页
In this paper, we study the p-order cone constraint stochastic variational inequality problem. We first take the sample average approximation method to deal with the expectation and gain an approximation problem, furt... In this paper, we study the p-order cone constraint stochastic variational inequality problem. We first take the sample average approximation method to deal with the expectation and gain an approximation problem, further the rationality is given. When the underlying function is Lipschitz continuous, we acquire a projection and contraction algorithm to solve the approximation problem. In the end, the method is applied to some numerical experiments and the effectiveness of the algorithm is verified. 展开更多
关键词 Stochastic Variational Inequality Sample Average Approximation projection and contraction Method Convergence Analysis Numerical Experiments
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A MODIFIED PROJECTION AND CONTRACTION METHOD FOR A CLASS OF LINEAR COMPLEMENTARITY PROBLEMS 被引量:12
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作者 B.S. He(Department of Mathematics, Nanjing University, Nanjing, China) 《Journal of Computational Mathematics》 SCIE CSCD 1996年第1期54-63,共10页
Recently, we have proposed an iterative projection and contraction (PC) method for a class of linear complementarity problems (LCP)([4]). The method was showed to be globally convergent, but no statement could be made... Recently, we have proposed an iterative projection and contraction (PC) method for a class of linear complementarity problems (LCP)([4]). The method was showed to be globally convergent, but no statement could be made about the rate of convergence. In this paper, we develop a modified globally linearly convergent PC method for linear complementarity problems. Both the method and the convergence proofs are very simple. The method can also be used to solve some linear variational inequalities. Several computational experiments are presented to indicate that the method is surprising good for solving some known difficult problems. 展开更多
关键词 TH PN A MODIFIED projection AND contraction METHOD FOR A CLASS OF LINEAR COMPLEMENTARITY PROBLEMS II
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Comparison of two approximal proximal point algorithms for monotone variational inequalities 被引量:1
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作者 TAO Min 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2007年第6期969-977,共9页
Proximal point algorithms (PPA) are attractive methods for solving monotone variational inequalities (MVI). Since solving the sub-problem exactly in each iteration is costly or sometimes impossible, various approx... Proximal point algorithms (PPA) are attractive methods for solving monotone variational inequalities (MVI). Since solving the sub-problem exactly in each iteration is costly or sometimes impossible, various approximate versions ofPPA (APPA) are developed for practical applications. In this paper, we compare two APPA methods, both of which can be viewed as prediction-correction methods. The only difference is that they use different search directions in the correction-step. By extending the general forward-backward splitting methods, we obtain Algorithm Ⅰ; in the same way, Algorithm Ⅱ is proposed by spreading the general extra-gradient methods. Our analysis explains theoretically why Algorithm Ⅱ usually outperforms Algorithm Ⅰ. For computation practice, we consider a class of MVI with a special structure, and choose the extending Algorithm Ⅱ to implement, which is inspired by the idea of Gauss-Seidel iteration method making full use of information about the latest iteration. And in particular, self-adaptive techniques are adopted to adjust relevant parameters for faster convergence. Finally, some numerical experiments are reported on the separated MVI. Numerical results showed that the extending Algorithm II is feasible and easy to implement with relatively low computation load. 展开更多
关键词 projection and contraction methods Proximal point algorithm (PPA) Approximate PPA (APPA) Monotone variational inequality (MVI) Prediction and correction
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CPECC Rapid Growth in Contracting Overseas Projects
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作者 Wang Yong and Wand Guoqing (China Petroleum Engineering & Construction (Group) Corporation ) 《China Oil & Gas》 CAS 1999年第1期68-70,共3页
关键词 CPECC Rapid Growth in Contracting Overseas Projects In
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Sudan Pipeline Project Contracting
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《China Oil & Gas》 CAS 1998年第4期246-246,共1页
关键词 PROJECT Sudan Pipeline Project Contracting
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A lending contract for interconnection project between Northeast and North China Power Network signed
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《Electricity》 2001年第1期48-48,共1页
关键词 Bank A lending contract for interconnection project between Northeast and North China Power Network signed
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All-round Contracting for Jiangyou andDalate Power Plant Projects
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《Electricity》 1999年第4期37-40,共4页
关键词 All-round Contracting for Jiangyou andDalate Power Plant Projects TIME
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Modified Inertial Projection Method for Solving Pseudomonotone Variational Inequalities with Non-Lipschitz in Hilbert Spaces
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作者 Duong Viet THONG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2023年第12期2374-2392,共19页
This paper deals with a class of inertial gradient projection methods for solving a vari-ational inequality problem involving pseudomonotone and non-Lipschitz mappings in Hilbert spaces.The proposed algorithm incorpor... This paper deals with a class of inertial gradient projection methods for solving a vari-ational inequality problem involving pseudomonotone and non-Lipschitz mappings in Hilbert spaces.The proposed algorithm incorporates inertial techniques and the projection and contraction method.The weak convergence is proved without the condition of the Lipschitz continuity of the mappings.Meanwhile,the linear convergence of the algorithm is established under strong pseudomonotonicity and Lipschitz continuity assumptions.The main results obtained in this paper extend and improve some related works in the literature. 展开更多
关键词 Inertial method projection and contraction method variational inequality problem pseu-domonotone mapping convergence rate
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General contracts of Fuqing and Fangjiashan nuclear power projects signed
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《Electricity》 2008年第2期18-,共1页
The general contracts of Fuqing and Fangjiashannuclear power projects affiliated to CNNC were signedon April 30th. It is the first time for CNNC to developnuclear power projects by EPC contracts includingdesign, purch... The general contracts of Fuqing and Fangjiashannuclear power projects affiliated to CNNC were signedon April 30th. It is the first time for CNNC to developnuclear power projects by EPC contracts includingdesign, purchasing and construction.Fuqing nuclear power project is located in 展开更多
关键词 General contracts of Fuqing and Fangjiashan nuclear power projects signed
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SOLVING TRUST REGION PROBLEM IN LARGE SCALEOPTIMIZATION 被引量:2
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作者 Bing-sheng He(Department of Mathematics, Nanjing University, Naming 210093, China) 《Journal of Computational Mathematics》 SCIE EI CSCD 2000年第1期1-12,共12页
Presents a study which introduced a method for solving trust region problem in scale minimization. Review of the conjugate gradient method (CG) and the projection and contraction (PC) method; Convergence behavior of t... Presents a study which introduced a method for solving trust region problem in scale minimization. Review of the conjugate gradient method (CG) and the projection and contraction (PC) method; Convergence behavior of the PC method; Implementation of CG-PC method; Results; Conclusions. 展开更多
关键词 trust region problem conjugate gradient method projection and contraction method
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ON THE LINEAR CONVERGENCE OF PC-METHOD FOR ACLASS OF LINEAR VARIATIONAL INEQUALITIES
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作者 Nai-hua Xiu(Department of Mathematics, Nothern Jiaotong University, Beijing 100044, China Instituteof Applied Mathematics, Chinese Academy Of Sciences, Beijing 100080, China) 《Journal of Computational Mathematics》 SCIE EI CSCD 1999年第2期199-208,共10页
This paper studies the linear convergence properties of a class of the projection and contraction methods for the affine variational inequalities, and proposes a necessary and sufficient condition under which PC-Metho... This paper studies the linear convergence properties of a class of the projection and contraction methods for the affine variational inequalities, and proposes a necessary and sufficient condition under which PC-Method has a globally linear convergence rate. 展开更多
关键词 affine variational inequality projection and contraction method linear convergence
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China's Overseas Contracted Projects and the Cooperation of Labour Services
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《World Economy & China》 1995年第1期91-91,共1页
China'sOverseasContractedProjectsandtheCooperationofLabourServices¥//Source:OfficeofPressandPublicationunder... China'sOverseasContractedProjectsandtheCooperationofLabourServices¥//Source:OfficeofPressandPublicationunderMinistryofForeign... 展开更多
关键词 China’s Overseas Contracted Projects and the Cooperation of Labour Services
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Construction Projects and Labor Service Projects Contracted by China with Foreign Countries in January-May 1997
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《World Economy & China》 SCIE 1997年第5期52-52,共1页
关键词 Construction Projects and Labor Service Projects Contracted by China with Foreign Countries in January-May 1997
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