Convergence Rate of The Trust Region Method for Nonlinear Equations Under Local Error Bound Condition

In this paper, we present the new trust region method for nonlinear equations with the trust region converging to zero. The new method preserves the global convergence of the traditional trust region methods in which the trust region radius will be larger than a positive constant. We study the convergence rate of the new method under the local error bound condition which is weaker than the nonsingularity. An example given by Y.X. Yuan shows that the convergence rate can not be quadratic. Finally, some numerical results are given. This work is supported by Chinese NSFC grants 10401023 and 10371076, Research Grants for Young Teachers of Shanghai Jiao Tong University, and E-Institute of Computational Sciences of Shanghai Universities. An erratum to this article is available at .     

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在四阳极直流放电装置上,测量并分析了辉光放电的电流-电压和发光特征随气压的变化关系。结果表明,采用稳流放电模式比稳压放电具有更宽的稳定放电气压和电流范围,能在从1～800Pa的较宽气压范围内实现氦气辉光放电,放电电流可达到500mA左右。随着电极表面亮斑的变化,对于同一气压,在低电流区,放电电压几乎成指数增长;随电流增大,电压的增长速度变缓;对于高的气压,碰撞频率的增大使得电压随电流升高的速率变小。分析表明,放电处于异常辉光区。从放电管的CCD图像可以看出,对于同一放电电流,随气压的升高,等离子体往阴极收缩。     

二阶Volterra系统对平稳正态激励的统计响应的表示定理的数学证明

1974年,Neal根据Kac和Siegert的思想,给出了一个在电子工程、海洋工程、建筑工程、航空工程、自动控制的随机振动中有重要应用的二阶Volterra非线性系统对平稳正态输入的统计响应的表示定理.1984年,Naess对此定理又给出了一个数学证明.经过研究后发现,他们对定理条件的叙述都是模糊的,而且其数学证明都是有问题的.本文重新讨论了这个表示定理,给出了明确的定理条件及严格的数学证明,为它的广泛应用奠定了理论基础.     

高掺杂Ga对ZnSe:Ga,Cu晶体中深中心发射的影响

本文研究了高掺杂Ga对ZnSe:Ga,Cu晶体中深中心光致发光谱带的影响。首次在高掺杂ZnSe:Ga,Cu中观察到了Cu-G带峰值位置随Ga浓度增大向长波方向移动的现象,并把它归因于高浓度的Ga和Cu相互作用,产生了谱峰为5580Å的新发射带,其半高宽(FWHM)大于Cu-G谱带的半高宽。此外还得到,随着Cu浓度增加,Cu-G带与Cu-R带强度之比减小。文中指出,Ga浓度较低时,ZnSe:Ga,Cu晶体与ZnSe:Cu晶体有相同的Cu深中心发射规律,即随着Cu浓度增大,Cu-G带与Cu-R带的强度比增大,由Cu-R发射带占优势逐渐过渡到Cu-G发射带占优势。     

A New theory for evaluating the number density of inclusions in films

A new formulation derived from thermal characters of inclusions and host films for estimating laser induced damage threshold has been deduced. This formulation is applicable for dielectric films when they are irradiated by laser beam with pulse width longer than tens picoseconds. This formulation can interpret the relationship between pulse-width and damage threshold energy density of laser pulse obtained experimentally. Using this formulation, we can analyze which kind of inclusion is the most harmful inclusion. Combining it with fractal distribution of inclusions, we have obtained an equation which describes relationship between number density of inclusions and damage probability. Using this equation, according to damage probability and corresponding laser energy density, we can evaluate the number density and distribution in size dimension of the most harmful inclusions.     

论我国商业秘密的立法完善

商业秘密是企业重要的无形资产,实践中商业秘密被侵害的纠纷也屡屡发生.着重探讨现阶段我国对商业秘密的保护在立法、司法等方面存在的缺陷,指出完善商业秘密的立法保护的重要性,并提出完善商业秘密立法的一些看法.     

新时期大学生成长观教育面临的主要问题

社会主义市场经济的建立和发展使人的主体性意识进一步增强,为大学生的发展提供了更加广阔的空间,对大学生的素质提出了更高的要求,也给教育工作者提出了新的要求.从个人才干增长与社会需要、奉献与索取、成长中的自由与必然三个方面阐述新时期大学生成长观教育中所面临的主要问题,以期在教育工作中做到有的放矢.     

A Mössbauer spectroscopic study of an industrial catalyst for dehydrogenation of etylbenzene to styrene

Iron oxide catalyst with spinel structure used for dehydrogenation of ethylbenzene is one kind of important catalyst in petrochemical industry. In this work several series of industrial catalyst were prepared with different components and different manufacturing processes. Mössbauer Spectroscopy has been used to determine the optimal components and the better manufacturing process for spinel structure formation. The results may prove useful for producing the industrial dehydrogenation catalyst with better catalytic property.     

在线固溶条件下的输出辊道受热分析

为满足300系列奥氏体不锈钢轧后在线目溶处理的要求，针对某厂已有设备条件，进行在线固溶处理输出辊道的改造，利用ANSYS有限元分析软件，通过对不同结构和材质条件下输出辊道的受热分析，为输出辊道的改造提供了理论依据。结果表明，将原有的铸铁辊道改为陶瓷辊道能够满足生产的要求。     

c轴定向氮化铝薄膜的制备

利用电子回旋共振 (ECR)微波增强化学气相沉积法 (PECVD)并使用氮气 (N2 ) ,氩气 (Ar)和AlCl3蒸气作为气源在直径为 6 .35cm的 (10 0 )单晶硅片表面制备了c轴定向氮化铝 (AlN)薄膜 ,并使用X射线衍射仪及其X射线特征能谱和扫描电镜 (SEM)分析了薄膜特征 ,研究了微波功率、基板温度和N2 流量对薄膜c轴定向的影响 ,得到了c轴偏差角小于 5°的高质量大面积AlN薄膜。