负定二次型与半负定二次型

本根据负定二次型与半负定二次型的定义给出了它们的若干等价条件，并讨论了负定矩阵的若干性质。     

一类时变大系统的平稳振荡

本文利用“区间矩阵稳定性”理论,加权和标量Liapunov函数方法及向量Liapunov函数方法,讨论了一类大系统的平稳振荡,得到了一类大系统存在平稳振荡的两个充分条件。     

改进的Schur不等式及其应用

Schur不等式是一个重要的不等式．对Schur不等式作改进，得到改进的Schur不等式，并由此得出几个重要的结果．     

Reordering and Reflecting Factors for Simulation Studies With Exploratory Factor Analysis

This article describes the REREFACT R package, which provides a postrotation algorithm that reorders or reflects factors for each replication of a simulation study with exploratory factor analysis (EFA). The purpose of REREFACT is to provide a general algorithm written in freely available software, R, dedicated to addressing the possibility that a nonuniform order or sign pattern of the factors could be observed across replications. The algorithm implemented in REREFACT proceeds in 4 steps. Step 1 determines the total number of equivalent forms, I, of the vector of factors, η. Step 2 indexes, i = 1, 2 … I, each equivalent form of η (i.e., ηⁱ) via a unique permutation matrix, P (i.e., Pⁱ). Step 3 determines which ηⁱ each replication follows. Step 4 uses the appropriate Pⁱ to reorder or re-sign parameter estimates within each replication so that all replications uniformly follow the order and sign pattern defined by the population values. Results from two simulation studies provided evidence for the efficacy of the REREFACT to identify and remediate equivalent forms of η in models with EFA only (i.e., Example 1) and in fuller parameterizations of exploratory structural equation modeling (i.e., Example 2). How to use REREFACT is briefly demonstrated prior to the Discussion section by providing annotations for key commands and condensed output using a subset of simulated data from Example 1.     

关于Zm上的广义逆矩阵

本文基于Zm上的加法和乘法运算,定义了Zm上的广义逆矩阵及有关概念,并讨论了Zm上矩阵方程AX=C＋YB的通解问题。     

拟域上的一个矩阵方程

给出了拟域上矩阵方程AXB＋CYD＝0的通解表达式及其信有零解的一个充要条件。     

Chebyshev加速方法的收敛性分析

讨论用于线性代数方程组的迭代解法的Ｃｈｅｂｙｓｈｅｖ加速方法的收敛性．分别就基本迭代矩阵具有实特征值和复特征值两种情形进行分析，得到一种较深刻的结论，并提出了一种新的收敛速度概念     

分块反循环矩阵及其可对角化

利用矩阵分析的知识，得出了分块反循环矩阵的基本性质、基本分块反循环矩阵以及一般的分块反循环矩阵可对角化的条件，并讨论了任意分块反循环矩阵的m次根的存在性与根的一般形式.     

双对称矩阵及其性质

本文给出了双对称矩阵的定义,并讨论了双对称矩阵的几个性质。     

非负矩阵的布尔运算及自反性与传递性

本文引进非负矩阵的布尔或∨ ,布尔与∧,布尔乘＃运算及非负矩阵的自反性和传递性的概念,并讨论它们之间的一些性质.