共查询到18条相似文献,搜索用时 160 毫秒
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关于有限向量集的一类三角不等式及应用 总被引:5,自引:0,他引:5
本文引入了En中r阶空间角的概念,建立了有限向量集的一类三角不等式.作为其应用,得到了n维单形的两类三角不等式,推广和改进了一些已有文献中的主要结果. 相似文献
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利用n维模糊集截集理论和模糊点与n维模糊集的邻属关系,并利用n+1-值Lukasiewicz蕴涵,首先给出(α,β)-n维凸模糊集的定义,然后对(∈,∈)-n维凸模糊集和(∈,∈Vq)-n维凸模糊集这两种非常有意义的n维凸模糊集进行了讨论,最后得到了一些有意义的结果.这将为n维凸模糊分析理论研究打下基础. 相似文献
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利用n维模糊集截集理论和模糊点与n维模糊集的邻属关系,并利用n+1-值Lukasiewicz蕴涵,首先给出(α,β)-n维凸模糊集的定义,然后对(∈,∈)-n维凸模糊集和(∈,∈∨q)-n维凸模糊集这两种非常有意义的n维凸模糊集进行了讨论,最后得到了一些有意义的结果。这将为n维凸模糊分析理论研究打下基础。 相似文献
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利用超立方体与有限集的幂集的Hasse图之间的同构关系,继续研究n维超立方体的Merrifield-Simmons指标的上下界.当k(?)5时,得到了n维超立方体中k-独立集数的上下界. 相似文献
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本文首先对紧致的度量拓扑空间证明了有限点集的费马点是存在的,其次,运用度量几何的经典方法考察了度量空间(包括双曲空间和Banach空间)中有限点集的费马点的唯一性,此外,还对n维欧氏空间E^n中有限点集的费马作了进一步研究。 相似文献
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利用n维有限射影空间上的一些性质,构作了组合群验的数学模型de-析取矩阵,并研究了它的参数和Hamming距离. 相似文献
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n维单形的棱切超球 总被引:1,自引:0,他引:1
林祖成 《数学的实践与认识》1995,(4)
本文先给出n维单形存在棱切超球的一个充分必要条件,然后建立n维单形的棱切超球半径的计算公式,最后,我们还给出两个重要推论。 相似文献
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集值映射多目标规划问题的解集的连通性 总被引:6,自引:2,他引:4
傅万涛 《高校应用数学学报(A辑)》1994,(3):321-328
本文研究了无限维空间里集值映射的多目标规划问题。主要结果是:当目标函数为类凸的集值映射时,其目标空间里的有效点集是连通的;若目标函数为C-凸的集值映射时,其有效解集也连通。 相似文献
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There is a wide range of iterative methods in infinite dimensional spaces to treat variational equations or variational inequalities. As a rule, computational handling of problems in infinite dimensional spaces requires some discretization. Any useful discretization of the original problem leads to families of problems over finite dimensional spaces. Thus, two infinite techniques, namely discretization and iteration are embedded into each other. In the present paper, the behaviour of truncated iterative methods is studied, where at each discretization level only a finite number of steps is performed. In our study no accuracy dependent a posteriori stopping criterion is used. From an algorithmic point of view, the considered methods are of iteration–discretization type. The major aim here is to provide the convergence analysis for the introduced abstract iteration–discretization methods. A special emphasis is given on algorithms for the treatment of variational inequalities with strongly monotone operators over fixed point sets of quasi-nonexpansive mappings. 相似文献
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在建立微分线性空间基础上、引入向量外积和有向体积,找到了微分线性变换与有向体积之间的关系,由此给出了n重积分换元公式的一个简单证法. 相似文献
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Hoonjoo Kim Sung‐Jin Lee Hae‐Soo Oh 《Numerical Methods for Partial Differential Equations》2003,19(3):399-420
The method of auxiliary mapping (MAM), introduced by Babu?ka and Oh, was proven to be very successful in dealing with monotone singularities arising in two‐dimensional problems. In this article, in the framework of the p‐version of FEM, MAM is presented for one‐dimensional elliptic boundary value problems containing singularities. Moreover, in order to show the effectiveness of MAM, a detailed proof of an error estimate is also presented, which gives a sharp error bound of MAM. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 19: 399–420, 2003. 相似文献
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本文利用非线性泛函分析拓扑度理论与常微分方程定性分析相结合的方法讨论了奇点为非双曲型时高维自治系统周期轨道的存在性,得到了系统存在非常数周期轨道的充分条件. 相似文献
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N. D. Botkin 《Applied Mathematics and Optimization》1995,32(2):195-210
A randomized algorithm for finding a hyperplane separating two finite point sets in the Euclidean space d and a randomized algorithm for solving linearly constrained general convex quadratic problems are proposed. The expected running time of the separating algorithm isO(dd! (m + n)), wherem andn are cardinalities of sets to be separated. The expected running time of the algorithm for solving quadratic problems isO(dd! s) wheres is the number of inequality constraints. These algorithms are based on the ideas of Seidel's linear programming algorithm [6]. They are closely related to algorithms of [8], [2], and [9] and belong to an abstract class of algorithms investigated in [1]. The algorithm for solving quadratic problems has some features of the one proposed in [7].This research was done when the author was supported by the Alexander von Humboldt Foundation, Germany.On leave from the Institute of Mathematics and Mechanics, Ural Department of the Russian Academy of Sciences, 620219 Ekaterinburg, S. Kovalevskaya str. 16, Russia. 相似文献