H-矩阵及其比较矩阵的预条件Gauss-Seidel法的收敛性

讨论了新的预条件矩阵下的预条件Gauss-Seidel法.在更广义的分裂条件下,将此法应用于H-矩阵及其比较矩阵上,并得到了相应的收敛结果和谱半径的比较结果,从而说明应用于H-矩阵的预条件Gauss-Seidel法的收敛速度要比应用于它的比较矩阵的预条件Gauss-Seidel法的收敛速度快.最后,给出一个数值例子验证得到的结果.     

非奇异H矩阵的充分条件

从矩阵的元素出发,给出了非奇异H矩阵的新判据, 改进和推广了一些相关结果, 并用数值例子说明了结论的有效性.     

H-矩阵的判定准则

本文论证了Hoffm an给出的复方阵是非奇异的三组充分条件判定准则也是复方阵为H-矩阵的充分条件.     

Block H-matrices and spectrum of block matrices

The block H-matrices are studied by the concept of G-functions, several concepts of block matrices are introduced. Equivalent characters of block H-matrices are obtained. Spectrum localizations characterized by G-functions for block matrices are got. Foundation item: Sichuan Youth Science & Technology Foundation of China (Jsa1081) Biography: HUANG Ting-zhu (1964-)     

一种基于语义网的数字图书馆智能检索模型

提出基于语义网技术的数字图书馆智能检索模型, 该模型以数字图书馆领域本体为基础, 采用双层本体结构, 通过本体映射和本体推理等技术实现了分布式和异质的数字图书馆的智能检索功能. 该模型可以实现数字图书馆语义级的资源共享和智能化的信息检索, 具有较高的查准率和良好的可伸缩性. 该模型提供了一种建设知识化和智能化数字图书馆的方法.     

F_2+vF_2上生成M序列的非奇异反馈函数的性质

M序列是一类最长的非线性伪随机序列.本文研究了在F2+vF2上生成M序列的非奇异反馈函数f(x1,x2,…,xn)所具有的3条性质:1)Rf≠f;2)Djf为互不相同的生成M序列的非奇异反馈函数(j=1,v,1+v);3)在f的多项式表达式中,常数项j0一定不为0;若线性项x2,x3,…,xn全出现,则它们的系数不能全为1或j0.     

关于全不变扩张环和模(英文)

In this paper, we discuss FI-extending property of rings and modules. The main results are the following： a characterization of von Neumann regular rings which are two-sided FI-extending is given; sufficient conditions for direct summands of FI-extending modules to be FI-extending are obtained; and at last, a necessary and sufficient condition for nonsingular modules over nonsingular rings to be FI-extending is given.     

广义严格对角占优矩阵的一组判定条件

以M-矩阵以及α-对角占优矩阵为工具,对0≤α≤1,借助Hlder不等式给出了广义严格对角占优矩阵以及非奇异M-矩阵的几则新的充分条件,拓广了近期的一些相关结果,并用数值例子说明这些结果的有效性.     

Nonsingular terminal sliding mode approach applied to synchronize chaotic parameters and systems with unknown nonlinear inputs

This paper deals with the design of a novel nonsingular terminal sliding mode controller for finite-time synchro-nization of two different chaotic systems with fully unknown parameters and nonlinear inputs. We propose a novel nonsingular terminal sliding surface and prove its finite-time convergence to zero. We assume that both the master＇s and the slave＇s system parameters are unknown in advance. Proper adaptation laws are derived to tackle the unknown parameters. An adaptive sliding mode control law is designed to ensure the existence of the sliding mode in finite time. We prove that both reaching and sliding mode phases are stable in finite time. An estimation of convergence time is given. Two illustrative examples show the effectiveness and usefulness of the proposed technique. It is worthwhile noticing that the introduced nonsingular terminal sliding mode can be applied to a wide variety of nonlinear control problems.     

频繁闭图挖掘算法在中医方剂中的应用

通过分析传统中医药物间的影响关系和图结构数据节点间关系的共通性, 将中医方剂学中处方的药物联系按规则转换为图结构数据, 采用频繁闭图挖掘算法CloseGraph对图结构化的处方数据进行操作, 得到图结构中代表具有特定功能的频繁闭图, 再转换解释获得各中医方剂中对特定病症起决定疗效的核心药物组合及组合形式. 结果表明, 该方法可行、 有效, 成功地将图挖掘策略引入了中医方剂研究领域.