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891.
A. V. Zykina 《Computational Mathematics and Mathematical Physics》2008,48(11):1971-1980
The concept of inverse complementarity for a parametric family of optimization problems is introduced. This concept is an
effective tool for solving complicated applied problems arising in socioeconomic systems. As an example, a nonlinear resource
deficit model is constructed in which the equilibrium is characterized by an external market value of resources coinciding
with internal objectively determined resource estimates. An extraproximal method is proposed for computing an equilibrium
solution. The convergence of the method is proved.
Original Russian Text. A.V. Zykina, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008,
Vol. 48, No. 11, pp. 1968–1978. 相似文献
892.
E. O. Mazurkevich E. G. Petrova A. S. Strekalovsky 《Computational Mathematics and Mathematical Physics》2009,49(8):1318-1331
The well-known linear complementarity problem with definite matrices is considered. It is proposed to solve it using a global optimization algorithm in which one of the basic stages is a special local search. The proposed global search algorithm is tested using a variety of randomly generated problems; a detailed analysis of the computational experiment is given. 相似文献
893.
We construct positive and sign changing multipeak solutions to the pure critical exponent problem in a bounded domain with a shrinking hole, having a peak which concentrates at some point inside the shrinking hole (i.e. outside the domain) and one or more peaks which concentrate at interior points of the domain. These are, to our knowledge, the first multipeak solutions in a domain with a single small hole. 相似文献
894.
This work proposes a Progressive Assisted Sorting Algorithm (PASA) based on a multicriteria evaluation ELECTRE-type method.
The purpose of the PASA is to aid a decision maker to progressively sort a set of alternatives into a set of categories, which
we considered are ordered (ordinal sorting), following a consistency principle. We consider the principle that if an alternative
outranks (is as good as) a second one, then it must belong to the same category or to a better category. The set of alternatives
already sorted by the decision maker will implicitly define the categories, and will constrain the range of categories where
other alternatives may be sorted. We show how the same idea may be used in an aggregation/disaggregation approach, considering
some parameters of ELECTRE are not fixed a priori, but are constrained only by the examples provided. In this context, we
establish a “convex-shape property” stating that the range of possible categories for an alternative is always an interval
of categories. A discussion contrasting this approach with ELECTRE TRI is included in the conclusions. 相似文献
895.
Stokes问题各向异性网格Q2-P1混合元超收敛分析 总被引:1,自引:0,他引:1
讨论Stokes问题在各向异性冈格下的Q2-P1混合有限元方法,利用积分恒等式技巧得到了与传统方法相同的超逼近性质,同时基于插值后处理的技巧,构造了速度和压力的一对插值后处理算子,并且前者具有备向异性特征,从而导出了整体超收敛结果. 相似文献
896.
Jean-Paul Penot 《Journal of Global Optimization》2008,40(1-3):319-338
We look for a general framework in which the Ekeland duality can be formulated. We propose a scheme in which the parameter
sets are provided with a coupling function which induces a conjugacy. The decision spaces are not supposed to have any special
structure. We examine several examples. In particular, we consider some special classes of generalized convex functions. 相似文献
897.
In this paper, we first establish some existence theorems of systems of generalized vector equilibrium problems. From these
results, we obtain new variants of Ekeland’s variational principle in a Hausdorff t.v.s., a minimax theorem and minimization
theorems. Some applications to the existence theorem of systems of semi-infinite problem, a variant of flower petal theorem
and a generalization of Schauder’s fixed point theorem are also given. 相似文献
898.
讨论了一类二阶非线性微分方程多点共振边值问题,通过运用Mawhin连续定理,我们在一个较简单的条件下得到了问题的解的存在性结果. 相似文献
899.
Coleman自同构群的投射极限 总被引:2,自引:0,他引:2
在这篇注记中,利用群的投射极限性质给出了有限可解群的Coleman自同构群的一个具体构造.作为应用,证明了二面体群的Coleman外自同构群或者是1或者是一个初等阿贝尔2-群. 相似文献
900.
This article discusses feasibility conditions in mathematical programs with equilibrium constraints (MPECs). The authors prove that two sufficient conditions guarantee the feasibility of these MPECs. The authors show that the two feasibility conditions are different from the feasibility condition in [2, 3], and show that the sufficient condition in [3] is stronger than that in [2]. 相似文献