共查询到20条相似文献,搜索用时 62 毫秒
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郑建青 《纯粹数学与应用数学》2014,(1):45-52
利用复矩阵的Schur补和次正定性,研究了次正定复矩阵的次Schur补的一些性质,得到了次正定复矩阵次Schur补的几个行列式不等式,将相关文献的相应结果由次正定次Hermite矩阵推广到次正定复矩阵. 相似文献
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建立了复正定矩阵的几个行列式不等式,将正定Hermite阵的Minkowski不等式、 Ostrowski-Taussky不等式推广到了复正定矩阵上,推广改进了一些文献的结果. 相似文献
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詹仕林 《数学的实践与认识》2003,33(9):123-125
本文指出文 [1 ]中的错误 ,并把文 [1 ]中关于复正定矩阵与正定 Hermite矩阵的行列式不等式推广到较为广泛的复矩阵类 相似文献
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本文的日的在于改进已有的两个复矩阵的行列式的上界,以更精细的两个Hermitian正定矩阵和的行列式为基本工具.利用得到的相关一无二次不等式描述的行列式之间的关系,给出了两个复矩阵和的行列式新上界,作为心用可改进华罗庚行列式不等式的上界. 相似文献
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广义正定矩阵有一系列推广,研究了一类广义正定矩阵,得到了这类广义正定矩阵的一些性质,并利用这些性质得到了这类广义正定矩阵的一些行列式不等式. 相似文献
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自共轭四元数矩阵的行列式的展开定理及其应用 总被引:23,自引:0,他引:23
本文是在[1]文的基础上,证明自共轭四元数矩阵 A 的行列式‖A‖的展开定理,而当 A 为实对称矩阵或复 Hermitian 矩阵时,‖A‖的展开式即与通常的行列式|A|的展开式一致.并由此进一步得出 A 的特征多项式 f(λ)就是 A 的特征矩阵的行展开式,从而得到 f(λ)的直接计算法,且由此又得到正定与半正定自共轭矩阵的另一等价命题,完善了[2]中(?)4的结果.还有一些关于实、复正定与半正定矩阵的重要定理,也可应用展开定理把它们加以推广. 相似文献
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首先证明亚正定矩阵的一个偏序,利用该偏序得到了亚正定矩阵的一些Bergstrom型不等式,推广了近期关于亚正定矩阵行列式不等式的一些结果. 相似文献
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关于更新风险模型中破产概率的若干结果 总被引:2,自引:0,他引:2
进一步研究了更新风险模型中破产概率的问题,在假定索赔额分布是重尾时,证明了若干重要结果,得到了与经典的Crammer—Lunderberg模型相一致的结论.并义推广和改进了部分已有文献中的结果。 相似文献
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It is natural to expect that lacunary almost convergence must be related to the some concept of lacunary almost bounded variations
in the some view as almost convergence is related to almost bounded variation. The purpose of this paper is to examine this
new concept in some details. Some inclusion theorems have been established.
Communicated by Pavel Kostyrko 相似文献
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赵林城 《中国科学A辑(英文版)》2002,45(11):1420-1427
The strong consistency of M-estimates of the regression coefficients in a linear model under some mild conditions is established,
which is an essential improvement over the relevant results in the literature on the moment condition. Especially, in some
important circumstances, onlyE|ψ(ek)|q for some q > 1 is needed, where ψ{ek} is some score function of random error. 相似文献
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Mahide Küçük Ryszard Urbański Jerzy Grzybowski Yalçın Küçük İlknur Atasever Güvenç 《Optimization》2016,65(11):1949-1961
In this study, some relationships between quasidifferentiability and weakly subdifferentiability of a function are investigated, and some results on calculating the quasidifferential in terms of weak exhausters are presented. Moreover, under some assumptions weak subdifferentiability of a quasidifferentiable function is proved and the weak subdifferential is obtained by using the quasidifferential. Under some assumptions, it is proved that a positively homogeneous and lower semicontinuous function is quasidifferentiable. It is also shown that directional differentiability and weak subdifferentiability imply quasidifferentiability. Furthermore, a method to evaluate the quasidifferential is given by using reduced weak lower exhausters. 相似文献
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Andrej Ule 《Acta Analytica》2004,19(33):9-30
I analyze some classical solutions of the skeptical argument and some of their week points (especially the contextualist solution).
First I have proposed some possible improvement of the contextualist solution (the introduction of the explicit-implicit belief
and knowledge distinction beside the differences in the relevance of some counter-factual alternatives). However, this solution
does not block too fast jumps of the everyday context (where empirical knowledge is possible) into skeptical context (where
empirical knowledge is impossible). Then I analyze some formal analogies between some modal arguments on the contingency of
empirical facts (and the world as whole) and the skeptical arguments against empirical knowledge. I try to show that the skeptical
conclusion “Empirical knowledge does not exist” is logically coherent with the thesis that they are empirical facts and that
we have true belief on them. In order to do that without contradictions I have to accept a non-classical definition of knowledge:
S knows that p:= S is not justified to allow that non-p. Knowledge and justified allowance function here as some pseudo-theoretical
concepts which allow only some partial and conditional definitions by some “empirical” terms and logical conditions. 相似文献
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主要研究了具有两个独立变量的不连续函数(有跳跃间断点)的一类更为广泛的新型积分不等式(Wendroff型),得出了一些新的结论,从而推广了前人的工作. 相似文献
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B.D. Craven 《Operations Research Letters》1984,3(1):47-52
The Kuhn-Tucker conditions for constrained minimization assume that the minimum is attained. When there is a finite infimum, but a minimum is not attained, an asymptotic version of Kuhn-Tucker conditions is obtained for linear problems, in general in infinite dimensions, with some restriction on the feasible set. This result is extended to some nonlinear problems, not necessarily convex, with some further restriction on differentiability. 相似文献