非拟牛顿非凸族的收敛性

１．引言 对于无约束最优化问题拟牛顿法是目前最成熟,应用最广泛的解法之一．近二十多年来,对拟牛顿法收敛性质的研究一直是非线性最优化算法理论研究的热点．带非精确搜索的拟牛顿算法的研究是从１９７６年 Ｐｏｗｅｌｌ［１］开始,他证明了带 Ｗｏｌｆｅ搜索 ＢＦＧＳ算法的全局收敛性和超线性收敛性． １９７８年 Ｂｙｒｄ, Ｎｏｃｅｄａｌ; Ｙａ－Ｘｉａｎｇ Ｙｕａｎ［３］成功地将 Ｐｏｗｅｌｌ的结果推广到限制的 Ｂｒｏｓｄｅｎ凸族． １９８９年, Ｎｏｃｅｄａｌ［４］在目标函数一致凸的条件下,证明了带回追搜索的ＢＦＧ…     

遮挡情况下目标跟踪算法综述

目标跟踪是机器视觉的核心问题之一。由于被跟踪目标本身特征的多样性,所处环境的复杂性,使得目标跟踪成为一个极富挑战性的课题。特别是跟踪过程中出现的遮挡问题,一直是目标跟踪中的难点。如何有效处理遮挡,尤其是严重遮挡和全部遮挡,成为限制目标跟踪算法鲁棒性的关键因素。本文对国内外现有的遮挡情况下的目标跟踪算法进行了总结和分类,阐述了各种算法的基本思想,简要介绍了其代表性的算法,指出了算法的适用场合,分析了算法的优缺点。文章最后对遮挡情况下的目标跟踪做了必要的讨论。     

Bounding the zeros of an interval equation

In this paper, we consider the problem of finding reliably and with certainty all zeros of an interval equation within a given search interval for continuously differentiable functions over real numbers. We propose a new formality of interval arithmetic which is treated in a theoretical manner to develop and prove a new method, lying on the context of interval Newton methods. Some important theoretical aspects of the new method are stated and proved. Finally, an algorithmic realization of our method is proposed to be applied on a set of test functions, where the promising theoretical results are verified.     

Nonlinear equations based on jointly homogeneous mappings

In this paper, we consider a nonlinear equation based on two-variable monotone and jointly homogeneous functions on an open convex normal cone

x=g(h(a,x),k(b,x))     

关于SSSP（n）和SISP（n）的均值

研究了Smarandache最小平方数列和Smarandache最大平方数列的均值性质,并用初等方法得到了关于这两个数列均值的渐近公式．     

A New Solution with Torsion in Model of dS Gauge Theory of Gravity

A new static de Sitter solution with torsion in the model of de Sitter gauge theory of gravity is obtained. The torsion only contains O(3)-symmetric tensor part according to irreducible decomposition. Some properties of the new solution are discussed.     

Borel Measure Extensions of Measures Defined on Sub-σ-Algebras

We develop a new approach to the measure extension problem, based on nonstandard analysis. The class of thick topological spaces, which includes all locally compact and all K-analytic spaces, is introduced in this paper, and measure extension results of the following type are obtained: If (X,  ) is a regular, Lindelöf, and thick space, σ[ ] is a σ-algebra, and ν is a finite measure on , inner regular with respect to the closed sets in , then ν has a Radon extension. The methods developed here allow us to improve on previously known extension results.     

基于CCD和PC机的高精度刚度检测系统的研制

根据某类球头杆零件的高精度刚度检测的实际需要 ,开展了将 CCD技术应用于零件刚度检测领域的研究 ,并研制出一套基于 CCD和 PC机技术的此类球头杆零件的高精度刚度检测系统。认为 CCD技术在工业刚度检测领域具有良好的应用前景。     

正整数的一类三分拆的应用

利用正整数n的一类特殊的3分拆n=n1+n2+n3,n1>n2>n3≥1,且n2+n3>n1的Ferrers图将不定方程4x1+3x2+2x3=n(n≥9)的正整数解与这种分拆联系起来,从而得到了该不定方程的正整数解数公式;同时也给出了正整数n的一类4分拆的计数公式.此外,还给出了周长为n的整边三角形的计数公式的一个简单证明.