数据库的图象处理方法

随着电脑应用的深入和普及,在计算机人事信息管理过程中,多媒体信息的处理方法和手段已经成为计算机信息处理的一个热门话题。该文探讨了数据库图像存储、处理以及在程序设计中如何还原和再现的一系列问题,对于学习数据库编程具有非常重要的参考和借鉴意义。     

吸引子键波在弱信号检测中的应用研究

分析了Duffing方程的基本形式,阐述了基于混沌信号相平面变化进行弱信号检测的工作原理,分析了蔡氏电路中混沌吸引子的键波及螺旋表示方法,设计了一个基于Chua电路键波同步系统;通过实验给出了混沌键波同步系统在在弱信号检测的应用,解决了目前利用混沌检测弱信号中存在的两个关键问题,为混沌键波同步系统在弱信号中的实际应用奠定了一定的基础。     

Distributed computing on oriented anonymous hypercubes with faulty components

We give efficient algorithms for distributed computation on oriented, anonymous, asynchronous hypercubes with possible faulty components (i.e. processors and links) and deterministic processors. Initially, the processors know only the size of the network and that they are inter-connected in a hypercube topology. Faults may occur only before the start of the computation (and that despite this the hypercube remains a connected network). However, the processors do not know where these faults are located. As a measure of complexity we use the total number of bits transmitted during the execution of the algorithm and we concentrate on giving algorithms that will minimize this number of bits. The main result of this paper is an algorithm for computing Boolean functions on anonymous hypercubes with bit cost , where is the number of faulty components (i.e. links plus processors), is the number of links which are either faulty, or non-faulty but adjacent to faulty processors, and is the diameter of the hypercube with faulty components. Received: October 1992 / Accepted: April 2001     

On local convergence of a Newton-type method in Banach space

In this study we are concerned with the local convergence of a Newton-type method introduced by us [I.K. Argyros and D. Chen, On the midpoint iterative method for solving nonlinear equations in Banach spaces, Appl. Math. Lett. 5 (1992), pp. 7–9.] for approximating a solution of a nonlinear equation in a Banach space setting. This method has also been studied by Homeier [H.H.H. Homeier, A modified Newton method for rootfinding with cubic convergence, J. Comput. Appl. Math. 157 (2003), pp. 227–230.] and Özban [A.Y. Özban, Some new variants of Newton's method, Appl. Math. Lett. 17 (2004), pp. 677–682.] in real or complex space. The benefits of using this method over other methods using the same information have been explained in [I.K. Argyros, Computational theory of iterative methods, in Studies in Computational Mathematics, Vol. 15, C.K. Chui and L. Wuytack, eds., Elsevier Science Inc., New York, USA, 2007.; I.K. Argyros and D. Chen, On the midpoint iterative method for solving nonlinear equations in Banach spaces, Appl. Math. Lett. 5 (1992), pp. 7–9.; H.H.H. Homeier, A modified Newton method for rootfinding with cubic convergence, J. Comput. Appl. Math. 157 (2003), pp. 227–230.; A.Y. Özban, Some new variants of Newton's method, Appl. Math. Lett. 17 (2004), pp. 677–682.]. Here, we give the convergence radii for this method under a type of weak Lipschitz conditions proven to be fruitful by Wang in the case of Newton's method [X. Wang, Convergence of Newton's method and inverse function in Banach space, Math. Comput. 68 (1999), pp. 169–186 and X. Wang, Convergence of Newton's method and uniqueness of the solution of equations in Banach space, IMA J. Numer. Anal. 20 (2000), pp. 123–134.]. Numerical examples are also provided.     

一类拟线性椭圆型方程弱解P-指标的稳定性

该文利用拟线性椭圆型方程弱解梯度的一致估计,在区域Ω的边界满足一致p-厚的条件下,使用一致p-厚的边界Sobolev不等式,Hlder不等式和Young不等式,得到了此类方程弱解关于p-指标的稳定性。     

概率约束规划逼近最优解集的几乎处处上半收敛性

对概率约束规划逼近最优解集序列的几乎处处上半收敛性进行讨论．利用概率测度方法建立随机规划模型,将带有约束的随机规划问题转化成与其等价的无约束随机规划问题．以概率测度弱收敛的性质给出概率约束规划可行解的几乎处处收敛性条件,得到概率约束规划逼近最优解集序列的几乎处处上半收敛性．     

基于改进蒙特卡洛法的框架强柱弱梁可靠度分析

针对蒙特卡洛方法存在的计算量大,计算时间长的缺点,借助曲线拟合的思想,提出了改进的蒙特卡洛可靠度分析方法。基于该方法并考虑计算模式、材料强度、几何尺寸的随机性,对抗震设计规范所提出的抗震概念设计进行了讨论,分析了钢筋混凝土结构的节点强柱弱梁可靠性。得出了不同抗震等级下节点强柱弱梁设计的可靠度,最后确定了2010版建筑抗震设计规范中框架柱端弯矩增大系数的调整对强柱弱梁的失效概率的影响规律,新规范调整后的柱端弯矩增大系数使强柱弱梁设计可靠性大大增加,达到了规范调整的目的。     

BEMD在复杂背景下弱小目标检测中的应用

针对复杂背景下的弱小目标检测与识别问题,提出了一种基于二维经验模态分解(Bidimensional Empirical Mode Decomposition,BEMD)的检测算法。待检测的原图像经过BEMD分解筛选出多个二维的内蕴模函数(Intrinsic Mode Functions,IMF)和趋势图像,使用全局门限法分割各个IMF,将处理后的IMFs综合成一个分割出待检测目标的结果图像。实验结果表明,该方法使用简洁的步骤,有效、准确地检测出弱小目标。     

Meshless local Petrov-Galerkin method for continuously nonhomogeneous linear viscoelastic solids

A meshless method based on the local Petrov-Galerkin approach is proposed for the solution of quasi-static and transient dynamic problems in two-dimensional (2-D) nonhomogeneous linear viscoelastic media. A unit step function is used as the test functions in the local weak form. It is leading to local boundary integral equations (LBIEs) involving only a domain-integral in the case of transient dynamic problems. The correspondence principle is applied to such nonhomogeneous linear viscoelastic solids where relaxation moduli are separable in space and time variables. Then, the LBIEs are formulated for the Laplace-transformed viscoelastic problem. The analyzed domain is covered by small subdomains with a simple geometry such as circles in 2-D problems. The moving least squares (MLS) method is used for approximation of physical quantities in LBIEs.     

一类半线性抛物型方程混和问题整体弱解的存在性

运用Galerkin方法并结合势井理论,证明了一类半线性抛物型方程ut-Δu up=0的高维情形的初边值混和问题在t 0的整体弱解的存在性.对于p为奇数的情形,容易得到先验估计,主要考虑p不是奇数时的情形,并得到相应的结果.