国家自然科学基金(10871144)

作品数：8被引量：9H指数：2
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Fault-tolerant Concave Facility Location Problem with Uniform Requirements
《Acta Mathematicae Applicatae Sinica》2012年第3期475-484,共10页Xing WANG Da-Chuan XU Zheng-Hai HUANG 
Supported by the National Natural Science Foundation of China (No. 60773185, 11071268, 10871144);Beijing Natural Science Foundation (No. 1102001)
In this paper, we consider the fault-tolerant concave facility location problem （FTCFL） with uniform requirements. By investigating the structure of the FTCFL, we obtain a modified dual-fitting bifactor approximatio...
关键词：approximation algorithm facility location problem dual-fitting 
Robust Solutions to Uncertain Linear Complementarity Problems被引量：1
《Acta Mathematicae Applicatae Sinica》2011年第2期339-352,共14页Dan Wu Ji-ye Han Jing-hao Zhu 
Supported by the National Natural Science Foundation of China(No.10671010,10871144 and 10671145)
In this paper, we adopt the robust optimization method to consider linear complementarity problems in which the data is not specified exactly or is uncertain, and it is only known to belong to a prescribed uncertainty...
关键词：uncertain linear complementarity problems robust optimization technology uncertainty set p- robust solution 
GUS-property for Lorentz cone linear complementarity problems on Hilbert spaces被引量：3
《Science China Mathematics》2011年第6期1259-1268,共10页MIAO XinHe HUANG ZhengHai 
supported by National Natural Science Foundation of China(Grant No. 10871144);the Natural Science Foundation of Tianjin Province (Grant No. 07JCYBJC05200)
Given a real(finite-dimensional or infinite-dimensional) Hilbert space H with a Jordan product,we consider the Lorentz cone linear complementarity problem,denoted by LCP(T,Ω,q),where T is a continuous linear operator...
关键词：Lorentz cone linear complementarity problem Jordan product Lorentz cone 
Non-interior Continuation Algorithm for Solving System of Inequalities over Symmetric Cones
《Transactions of Tianjin University》2011年第2期89-95,共7页张颖 卢楠 
Supported by National Natural Science Foundation of China (No.10871144);the Seed Foundation of Tianjin University (No.60302023)
As a basic mathematical structure,the system of inequalities over symmetric cones and its solution can provide an effective method for solving the startup problem of interior point method which is used to solve many o...
关键词：system of inequalities symmetric cone non-interior continuation algorithm global linear convergence local quadratic convergence 
Properties of a family of merit functions and a merit function method for the NCP
《Applied Mathematics(A Journal of Chinese Universities)》2010年第4期379-390,共12页LU Li-yong HUANG Zheng-hai HU Sheng-long Department of Mathematics, School of Science, Tianjin University, Tianjin 300072, China 
Supported by the National Natural Science Foundation of China(10871144);the Natural Science Foundation of Tianjin(07JCYBJC05200)
A family of merit functions are proposed, which are the generalization of several existing merit functions. A number of favorable properties of the proposed merit functions are established. By using these properties, ...
关键词：Nonlinear complementarity problem NCP-function merit function merit function method. 
Convergence of a Non-interior Continuation Algorithm for the Monotone SCCP被引量：3
《Acta Mathematicae Applicatae Sinica》2010年第4期543-556,共14页Nan Lu Zheng-Hai Huang 
supported by the National Natural Science Foundation of China (Grants No.10571134 and 10871144);the Natural Science Foundation of Tianjin (Grant No.07JCYBJC05200)
It is well known that the symmetric cone complementarity problem（SCCP） is a broad class of optimization problems which contains many optimization problems as special cases.Based on a general smoothing function,we pr...
关键词：Symmetric cone complementarity problem non-interior continuation method global linear convergence local quadratic convergence 
Some ω-unique and ω-ΡProperties for Linear Transformations on Hilbert Spaces被引量：2
《Acta Mathematicae Applicatae Sinica》2010年第1期23-32,共10页Xin-he Miao Zheng-hai Huang Ji-ye Han 
Supported by the National Natural Science Foundation of China(No.10871144);the Natural Science Foundation of Tianjin(No.07JCYBJC05200)
Given a real （finite-dimensional or infinite-dimensional） Hilbert space H with a Jordan product, we introduce the concepts of ω-unique and ω-P properties for linear transformations on H, and investigate some inter...
关键词：Linear complementarity problem Jordan product Lorentz cone ω-P property column sufficient property ω-uniqueness property 
一类非单调二阶锥互补问题解集的非空性与有界性被引量：1
《应用数学学报》2009年第6期961-968,共8页王勇 黄正海 
国家自然科学基金(10871144);天津市自然科学基金(07JCYBJC05200)资助项目
本文在二阶锥上引入一类新的映射,称之为笛卡尔P_*(κ)映射,它是单调映射的推广.文中讨论涉及这类映射的二阶锥互补问题的解的存在性和解集的有界性.主要结论为:如果所考虑的互补问题是严格可行的,那么它的解集是非空有界的.
关键词：二阶锥互补问题 笛卡尔R＊(κ)映射 解的存在性 解集的有界性 
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