两个新的矩阵特征值包含区域

引人广义a-对角占优矩阵和广义双a-对角占优矩阵概念,给出判定它们的充分必要条件,并由此获得了矩阵特征值的两个新包含区域,证明新的特征值包含区域包含于最近几个文献所给的特征值包含区域,因而能更精确地确定矩阵特征值的位置．     

三对角M矩阵的Hadamard积的最小特征值下界估计式的研究

研究了三对角M矩阵B和三对角M矩阵A的逆矩阵A-1的Hadamard积的最小特征值q(B°A-1)界的估计问题,利用A-1的元素新的上界估计式给出了q(B°A-1)新的估计式.若A=B,得到q(A°A-1)新的估计式.     

关于军队工程硕士军事运筹学教学的若干问题探讨

以军事运筹学为背景,对军队工程硕士的课程教学问题进行了探讨,分析了军队工程硕士的基本特点,指出在军事运筹学的教学工作中,必须更新观念,牢固树立面向21世纪的军事教育观念,建立以学员为本的教育模式,将现代军事高技术的新理论、新知识、新成果充实进来,实现教学内容的高层次、高起点和高技术化。     

Reflections on the Field: Aspirations of Learning Science and the Practical Logic of Instructional Enterprises

Over 100 years of learning and cognition research have had only modest cumulative impact on teaching, while many other practical domains such as agriculture have shown a steady growth in widely accepted, research-informed practices. Several reasons have been advanced for the painfully slow adoption of science-based instructional procedures. One important but not widely recognized obstacle is proposed here, namely, that the aims of fundamental learning and teaching research do not mesh well with the practical logic of schools. Basic learning research tends to focus on efficiency, i.e., how much can be learned from a given amount of effort or time but teaching efficiency is not a strong concern for schools. This is because they generally focus on global year-end results while the efforts required at the tactical lesson level are only loosely monitored. School administrators tend to reckon costs in terms of the number of engaged teachers and not in the difficulty of each teacher’s job. For these reasons, schools can be expected to have only nominal interests in science-informed, close management of tactical pedagogic units. Psychological work on labor saving possibilities, such as research-based instructive products, is more likely to be readily welcomed than improvements in lesson efficiency, especially in middle and high schools. Instructional enterprises in which the cost and the benefits of instruction are borne by the same agency, such as industrial training, are the most likely consumers of efficiency-related basic cognitive research.

一类特殊的非自治系统周期解的存在性

本文利用区间矩阵稳定性理论，讨论了一类包含方程周期解的存在性，引进矩阵测度的概念，所得结论包含文[2]中某些结论作为特例．     

Toeplitz系数矩阵方程组的迭代解法

主要讨论系数矩阵为非对称正定的Toeplitz的迭代求解,运用以系数矩阵的一个对称、反对称分裂为基础的SSS迭代方法。特别地分裂是一个中心对称分裂,可以利用中心对称矩阵的可约性来减少计算量和存储量。再通过几个数值例子验证了此方法的有效性。     

矩阵奇异值的估计

本文研究矩阵奇异值估计的相关问题,给出了一些矩阵奇异值极值的结论。     

两种稳定性矩阵类及亚正定阵类的扩张

本文给出了两种稳定性矩阵的若干等价命题。得到了这两种稳定性矩阵类是亚正定阵类的某种相似扩张类。讨论了这三种矩阵类的各自扩张是否是饱和的问题。     

矩阵求逆的几种方法

本文主要介绍了矩阵的逆的概念及其相关性质,从高等代数、计算方法及数值分析等课程中总结出求逆矩阵的方法及特殊矩阵求逆的问题.     

相似线性变换及其性质

采用类比的方法,研究了线性变换的相似关系,给出了相似线性变换的基本性质以及特征定理。