可逆矩阵

初等变换的关系及可逆矩阵的分解

On the Relationship of Elementary Transformations and the Decompositions of Invertible Matrix

可逆矩阵及其伴随矩阵、逆矩阵的一些共同特性

Some Common Properties Among Invertible Matrix , Adjoint Matrix and Inverse Matrix

Zn上m阶可逆矩阵的计数

The Number of Invertible Matrices of Order m over Z n

约化Jordan标准形之可逆矩阵的求法

Method of calculating converse matrix of Jordan standard form

设A是复可逆矩阵，巨Cm（A）分别是正规的、厄米特的、正定的和反厄米特的，讨论A具有的性质的条件；

Let A be a complex nonsingular matrix and an induced matrix Cm ( A ) be normal , Hermitian , positive definite and skew-Hermitian . The conditions under which A has these properties are discussed .

从施密特正交化出发，得到了：（1）可逆矩阵的QR分解定理；

Two conclusions drawled by schmidt 's orthogonalization : ( 1 ) The QR decomposition theorem of nonsingular matrix ;

利用有限域上一般线性群的BN对分解，给出有限域上的可逆矩阵在置换阵相似变换下的标准形。

We got the standard form of nonsingular matrix over the finite field by means of BN pair decomposition under the similarity transformation of the permutation matrix .

提出了与已有的利用Coates图及Mason图处理线性系统不同的作法，以图论解释每个矩阵及矩阵运算，并给出了求可逆矩阵的逆矩阵的图上操作方案。

Different from using Coates graph or Mason graph to treat linear systems . this note develops a method , which gives graph-theoretic explanation to each matrix as well as to each matrix operation , especially , one can find the inverse of matrix by means of operating on graphs .

在此基础上，我们认为谱系数可以通过构造可逆矩阵来定制。

Based on that , we believe spectral coefficients also can be customized .

可逆矩阵的分块求逆方法研究

Research of Methods to Obtain an Inverse Matrix by Partitioning an Inversible Matrix

完全可逆矩阵及其性质

SOME PROPERTIES OF GENERAL SYMMETRIC MATRIX Totally Nonsingular Matrices

剩余类环上的二阶可逆矩阵

Invertible 2 × 2-matrices over the residue class rings

一种关于求可逆矩阵的新方法

A New Method of Obtaining an Inverse Matrix

本文定义了完全可逆矩阵，并给出它的一个等价条件及其一些性质。

This paper defines totally nonsingular matrix and get its equivalent condition and some qualities .

弱可逆矩阵与对角化

The Weakly Invertible Matrix and Diagonalization

一类特定条件下可逆矩阵的计数

Invertible Matrix Counting under Specified Conditions

代数系统坡上的可逆矩阵

Invertible Matrices over Algebraic System Incline

行列初等变换求可逆矩阵的逆差热分析求可逆相变焓的模拟研究

Simulation Study for Measuring Sample 's Latent Heat of Reversible Phase Transition in Differential Thermal Analysis

关于可逆矩阵的一些条件

Conditions on Invertible Matrix

我们认为，从信息完整的角度考虑，可以将这个条件放宽到可逆矩阵。

We believe , from the point of information integrity , this restriction can be relaxed to reversible matrix .

表有限域上矩阵为两个可逆矩阵的平方和

Tables 11 . 1 tab . expressing a matrix over a finite field as the sum of two squares of invertible matrices

引入弱可逆矩阵，并用它来刻画矩阵可对角化的充要条件。

This paper introduces the weak invertiable matrix and characterizes the conditions of diagonalization of a matrix by using weak invertiable matrix .

对若当标准形及所使用的可逆矩阵的计算加以简化，并借助若当标准形给出线性递推关系式求解的一般方法。

By using Frobenius matrix , this paper presents the common solution in another form to linear recurrence formula with constant coefficients .

给出了通过求解可逆矩阵构成的一般线性群，获得线性码的自同构群的方法，并利用矩阵广义逆理论，对线性码的自同构群进行进一步刻划。

Automorphism group of a linear code is obtained with the help of the general linear group constructed by all invertible matrices , and it is illustrated by matrices generalized inverses .

本文介绍了矩阵的初等行变换在求矩阵的秩、求可逆矩阵的逆矩阵、解矩阵方程、解线性方程组以及研究向量间的线性关系等方面的应用。

The paper makes an introduction to the applications of elementary row transformation in the solution to the ranks of matrix , finding inverse matrix , resolving matrix equation and linear equations and linear relations among vector .

可逆M-矩阵两个问题的讨论

Discuss on two questions of inverse M-matrix

λ截可逆模糊矩阵

λ - Cut Invertible Fuzzy Matrix

解决了任意有限域上行数与域特征互素的可逆循环矩阵的计数问题

The problem of enumerating invertible cyclic matrices over any finite field with number of rows relatively prime to the characteristic of the field is solved

针对这种情况，采用一个可逆随机矩阵，将原始线性规划问题转化成了一个等价的安全的线性规划问题。

Here , a reversible random matrix is used to make sure the original linear program could be transformed into an equivalent secure linear program .

可逆分块矩阵的逆矩阵的简便求法

Computational method for inverting matrix of invertible cutset matrix