On the approximate zero of Newton method

ＩＮＴＲＯＤＵＣＴＩＯＮＭａｎｙｎｏｎｌｉｎｅａｒｐｒｏｂｌｅｍｓ ,ｓｕｃｈａｓｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃｂｏｕｎｄａｒｙｖａｌｕｅｃｏｎｄｉｔｉｏｎｓ,ｉｎｔｅｇｒａｔｉｏｎｅｑｕａｔｉｏｎｉｎｒａｄｉｃａｌｔｒａｎｓｆｅｒ,ｏｐｔｉｍａｌｓｏｌｕｔｉｏｎｉｎｏｐｅｒａｔｏｒｔｈｅｏｒｙ ,ｃａｎｂｅｄｅｄｕｃｅｄｔｏｓｏｌｖｅｔｈｅｅｑｕａｔｉｏｎｆ(ｘ) =0 ,( 1 )ｗｈｅｒｅｆ:Ｘ→ＹｉｓａＦｒｅｃｈｅｔｄｉｆｆｅｒｅｎｔｉａｂｌｅｎｏｎ ｌｉｎｅａｒｏｐｅｒａｔｏｒｗｈｉｃｈｍａｐｓＢａｎ…     

半正定矩阵广义Schur补的若干不等式

利用半正定矩阵的性质和矩阵Moore-Penrose广义逆的特性,研究了半正定矩阵广义Schur补问题.证明了对半正定矩阵A有(A/α)*(A/α)≥A*A/α,并由此得到了一些有关广义Schur补的不等式.将半正定矩阵Schur补的相关结果推广至广义Schur补.     

人脸识别中的PSVM方法

最临近支持向量机Proximal SVM(PSVM)是一种有效的、简单的和快速的近似支持向量机方法,识别效果和标准支持向量机相当,相比之下有较少处理时间．虽然有此优点,它的有效性仅仅是针对维数不高、大样本的数据集,而对于上千维甚至上万维的、小样本的人脸数据库情况没有人给出实验结果．文章把PSVM稍做改变,对四个公开的人脸库进行分类．同时采用几种典型的泛化线性鉴别分析(GLDA)方法,对人脸图像预处理．从识别率和所用的处理时间两方面以及用最近邻及最近特征线分类器进行对比,得出具有较好识别效果和处理时间的方法．     

中国能源效率影响因素研究——基于VEC模型的实证检验

能源效率以其在优化能源-经济-环境系统中的重要作用,被学者们称为"第五类能源"。本文采用基于向量误差修正模型的广义脉冲响应函数分析方法,考察能源相对价格、产业结构、能源结构以及科技进步四个因素在时序维度上对我国能源效率影响的动态特征。研究结果显示:在整个冲击响应期内,能源相对价格的提升与科技进步对我国能源效率的改进具有促进作用,而产业结构与能源结构的变动则在不同程度上阻碍着我国能源效率的提高,且以上四个因素均具有持续性特征。其次,能源相对价格、科技进步、能源结构三个因素较为显著,而产业结构的影响相对较弱。基于上述研究结论,从完善能源价格形成机制、优化产业结构与能源结构、加大节能科技投入等方面,探讨了提高我国能源效率的实现途径。     

Deriving kernels from generalized Dirichlet mixture models and applications

In the last few years hybrid generative discriminative approaches have received increasing attention and their capabilities have been demonstrated by several applications in different domains. Hybrid approaches allow the incorporation of prior knowledge about the nature of the data to classify. Past work on hybrid approaches has focused on Gaussian data, however, and less attention has been given to other kinds of non-Gaussian data which appear in many applications. In this article we introduce a class of generative kernels based on finite mixture models for non-Gaussian data classification. This particular class is based on the generalized Dirichlet distribution which have been shown to be effective to model this kind of data. We demonstrate the efficacy of the proposed framework on two challenging applications namely object detection and content-based image classification via the integration of color and spatial information.     

广义Nekrasov矩阵的实用性新判定

根据矩阵元素的性质,利用定义构造特殊的正对角矩阵,结合不等式的放缩技巧,给出广义Nekrasov矩阵的充分条件,改进和推广了文[1]的结果,并用数值实例说明了所得结果的有效性。     

GARCH-GED Model Based-AGA for Financial Risk Measure

GARCH model under the assumption of generalized error distribution (GED) is used to obtain the daily-volatility of log-return. The parameters are estimated by adaptive genetic algorithm. The tests of V...     

Von Neumann代数上的可导和反可导线性映射

设M是Von Neumann代数,φ是M上的范数连续的线性映射,若φ在单位元I处可导或反可导,则φ是M上的一个内导子。若φ在零点反可导,则φ是M上的一个广义内导子;当M=B(H)时,φ为零映射。     

从语气副词的句法分布透视其语用功能

语气副词是表达语气的语法成分，也常常跟语用因素直接关联。语气副词既可出现于动态句子中，也可以用于静态短语中。本文援引“小句中枢说”和生成语法的“X-阶标理论”讨论不同位置上的语气副词的句法特征和语用功能的差异。我们进而认为，按照最简方案下“广义左向合并理论”，语气副词一律都是在语段生成时左向附加上去的，可以附加于VP，vP和TP等多种不同的句法节点，并非必然地附加于句子的最外层。     

On the approximate zero of Newton method

A judgment criterion to guarantee a point to be a Chen's approximate zero of Newton method for solving nonlinear equation is sought by dominating sequence techniques. The criterion is based on the fact that the dominating function may have only one simple positive zero; assuming that the operator is weak Lipschitz continuous, which is much more relaxed and can be checked much more easily than Lipschitz continuous in practice. It is demonstrated that a Chen's approximate zero may not be a Smale's approximate zero. The error estimate obtained indicated the convergent order when we use |f(x)|<ε to stop computation in software. The result can also be applied for solving partial derivative and integration equations. Project supported by the Special Funds for Major State Basic Research (973) Program(No. 19990328) and the National Natural Science Foundation of China(No. 10271112), and Y. C. Tang Disciplinary Development Fund of Zhejiang University, China