三对角逆M-矩阵性质的探讨

本文研究一类特殊的逆M-矩阵:三对角逆M-矩阵.用图论的方法完全刻划了三对角逆M-矩阵的结构特征和性质,给出了三对角非负矩阵是逆M-矩阵的充要条件.最后,证明了具有唯一路M-矩阵的逆在Hadamard乘积下的封闭性.     

具有单面完整约束的力学系统的Noether理论

研究具有单面完整约束的力学系统的Noether对称性与守恒量，首先，建立了系统的运动方程；其次，基于Hamilton作用量在r参数有限变换群Gr的无限小变换下的不变性，给出了系统的广义Noether定理及其逆定理；最后,举例说明结果的应用。     

Continued Fraction Algorithm for Matrix Exponentials

A recursive rational algorithm for matrix exponentials was botained by making use of the generalized inverse of a matrix in this paper.On the basis of the n-th convergence of thiele-type continued fraction expansion,a new type of the generalized inverse matrix-valued pade approximant(GMPA)for matrix exponentials was defined and its remainder formula was proved.The resuts of this paper were illustrated by some examples.     

循环矩阵的逆问题

本文对循环矩阵的逆问题进行了探讨，提出了求解循环矩阵的逆的两个方法，文中所提方法比现有的方法简单实用。     

求逆矩阵与广义逆矩阵的统一方法

首先给出同时用初等行变换与初等列变换求可逆矩阵的逆矩阵的方法,然后将此方法推广,得到求一般矩阵广义逆矩阵的具有实用性的方法。     

关于同调代数中几个问题的注记

阐述了态射广义逆及其模的性质，给出了几个猜想，分析了投射模、平坦模、内射模的相互关系.     

考虑资金时间价值的动态投入产出最优模型

将不考虑资金时间价值的多部门经济投入产出模型Ⅰ推广改进为考虑资金时间价值的多部门经济动态投入产出模型Ⅱ.模型Ⅱ的优点是最优指标函数反映的是总收入的现值,它可使决策者知道最佳效益值的现值.     

Cayley-Hamilton定理应用

利用Cayley-Hamilton定理,给出矩阵的逆和矩阵幂的计算方法.     

互逆代换在恒等变形中的应用

互逆代换在解题过程中尽管仅是在式中加上0或乘以1,但只要运用适当,由此即可克服许多困难,使解题过程大大简化.     

Nonlinear decoupling controller design based on least squares support vector regression

INTRODUCTION Most practical systems are multivariate nonlin- ear systems. In general, the MIMO (multiple inputs and multiple outputs) systems are coupled. This cou- pling affects the effectiveness of a specific loop con- troller on the corresponding output, and in some case, may become serious and cause many difficulties to the control system design. How to decouple the mul- tivariate systems and design practical controllers is one of the major issues in nonlinear control area. In recen…