回归分析中参数估计的一种新方法

本文根据矩阵的广义逆理论,建立了回归分析中进行参数估计的一种新方法,该方法更简单更精确。     

“无中生有”计的一个博弈模型

“无中生有”计系《三十六计》中的第七计,本首先给出此计的一个博弈模型,然后由此研究破此计的一个算法。     

亚直不可约环成为全矩阵环的条件

给出了亚直不可约环是除环上的全矩阵环的一个新的条件。     

Invariant Core Theorems for Double Sequences

The definition for the convergence of a double sequence was presented by A. Pringsheim [9]. Recently, the definitions of limit inferior, limit superior, and the core of a double sequence are presented. By using these definitions and the notion of regularity for four-dimensional matrices, an invariant core theorem for double sequences is presented.AMS Subject Classification (2000) primary 40B05 secondary 40C05     

A Note on degree antiregular graphs

This note proves a conjecture of Merris that the minimal value of entries of the doubly stochastic matrix of the degree antiregular graph E_n of order n ≥ 3 is equal to (l/2(n + l)).     

D[X2m]的下界估计与X2m矩阵的快速构造

本文利用有向图理论研究了Xn矩阵的特性,给出了X2m矩阵类的快速构造方法,证明了拉丁方矩阵D[X2m]数目的下界估计是：2m(2m)! ∑^mi=2[(2m)!]^2/П^ij=1Kj!П^rj=1bj!。     

HBa(D)空间的内插定理

研究了一类由H^p空间构成的Ba空间的内插性质,给出了H^Ba(D)空间的三个内插定理。     

矩阵的最大公因子

本文提出两个矩阵右最大公因子的概念 ,给出其表达式 ,并将其推广到多个矩阵的情形     

用初等行变换求线性矩阵方程的通解

本文通过建立通解矩阵的概念 ,给出了用初等行变换求线性矩阵方程 Am× n Xn× s=Bm× s的通解的方法 .     

Safety neighbournoods for the invariants of the matrix similarity

We give safety neighbourhoods for the necessary conditions in the change of the Jordan canonical form of a matrix under small perturbations. We also obtain the minimum distance from an n × n complex matrix which has less than k nonconstant invariant factors (2≤ k≤ n) to the set of matrices which have more or equal to k. When k= 2, we get in particular the distance from a nonderogatory matrix to the set of derogatory matrices.