零矩阵

一种基于归零矩阵的TSP求解算法

New Solving Algorithm of TSP Based on Return-to-zero Matrix

证明了复奇异方阵T是两个幂零矩阵A和B的乘积，且除T是一个秩为1的2×2阶幂零矩阵外有A、B、T的秩相同。

This paper prores the complex singular square matrix T which is tux power zero matrices product A and B , moreover matrices A , band T hare the same rank except 22 rank I power zero matrix T.

最后应用这一方法证明了各阶主子式不为零矩阵的LDU分解及一些相关的结果。

Finally , this method is applied to proving the LDU factorization of matrices with all main subdeterminants being non-zero and some relative results .

给出2-幂零矩阵的Jordan标准型在相似变换下的稳定群的结构，利用有限域上2-幂零矩阵构作了一个Cartesian认证码，计算出了该认证码的参数。

We give the structure of the stable group of the Jordan 's normal form of 2-nilpotent matrices under the similarity transformation . One construction of Cartesian authentication codes from 2-nilpotent matrices over a finite fields is presented and its size parameters are computed .

幂零矩阵与低维幂零代数

Nilpotent matrices and nilpotent algebras of lower dimensions

零矩阵会把任何矩阵变成零。

The matrix zero would take X and would always give you back zero .

3-幂零矩阵的相似等价类的计数

The Enumeration of Equivalence Class of 3-nilpotent Matrices

幂等矩阵线性组合表出零矩阵和单位矩阵的研究

The Researches on the Zero Matrices and Identity Matrices for Linear Expression of Idempotent Matrices

幂零矩阵和幂零线性变换

Nilpotent Matrix and Nilpotent Linear Transformation

格上的T-幂零矩阵

T-nilpotent matrix on lattice

本文先给出幂零矩阵的定义，然后讨论了它的若干性质。

This paper first presents the definition of nilpotent matrix and then moves on to discuss certain properties of them .

晶体场理论计算能量哈密顿矩阵中为零矩阵元的判别

The Judgment of the Element to be Zero in Calculating the Energy - Hamiltonian - Matrix in the Crystal - field Theory

主要对定义在一般数域上的3-幂零矩阵的相似等价类的个数问题进行探讨。

In this paper , we mainly discuss the enumeration problem of the equivalence class of3-nilpotent matrix defined in normal number fields .

在高等代数中矩阵是研究问题很重要的工具，在讨论矩阵的乘法运算时给出了幂零矩阵的定义，但对其性质研究很少。

In this paper , the concept of nilpotent matrix is used to discuss some characters of the nilpotent matrix in general number field .

第二部分介绍了Ⅱ-Jordan型幂零矩阵的定义，将Ⅱ-Jordan型幂零矩阵在相似变换下化为更为简单的形式，计算了一类矩阵稳定子的相似标准型；

On the basis of the explanation , the definition of ⅱ - Jordan nilpotent matrices is defined and its transmission to a simpler form is discussed in the second section ;

幂零Fuzzy矩阵的一些结论及幂零度的求法

Some Results on the Nilpotent Fuzzy Matrices and the Methods for Calculating Nilpotent Degree

本文给出了模的矩阵表示，进而研究了环的Morita结构，主要结果：R为投射自由环当且仅当R上非零幂等矩阵具有特征根为1的特征向量。

In this thesis , the matrix expression of module is given , and the morita structure of ring is stadies .

根据多目标决策和模糊对策理论，研究支付值为Vague值的多目标二人零和矩阵对策。

Based on theories of multi-objective decision making and fuzzy game , the multi-objective two-person zero-sum matrix game , whose payoff value is a vague value is studied .

讨论了Vague多目标二人零和矩阵对策的两种求解方法：一是先将Vague多目标对策问题清晰化，再转化为单目标对策问题求解；

Two solution methods regarding vague multi-objective two-person zero-sum matrix game are discussed : one is making the vague multi-objective game problem certain through the order function of vague values first , then turning it into single objective game ;

不在对角线上的元素都等于零的矩阵。

A square matrix with all off-diagonal elements equal to zero .

给出了同时幂零坡矩阵的一些性质。

Some properties of simultaneously nilpotent incline matrices are given .

幂零坡矩阵在坡矩阵的研究中扮演着十分重要的角色。

Nilpotent incline matrices play a crucial role in the study of incline matrices .

关于幂零模糊矩阵的若干结果

Some Results on the Nilpotent Fuzzy Matrices

合内力为零的矩阵表示

A Matrix Expression of the Vector Sum of Internal Forces in a Particle System Equals to Zero

最后根据二人有限零和矩阵博弈理论，直接求两机的最优纯策略。

Finally , the optimal pure strategies for each player can be found directly by the use of two-person finite zero-sum matrix game theory .

如果矩阵对策同构于一个对策值为零的矩阵对策，那么后者称为前者的零化。

If a matrix game is isomorphic to a matrix game with zero game value , then the latter is called annihilation of the former .

本文中我们详细研究了坡矩阵的∧-∨复合，同时幂零坡矩阵和同时可控坡矩阵。

In this paper , we studied the ∧ - ∨ composition of the incline matrices , the simultaneously controllable incline matrices and the simultaneously nilpotent incline matrices in detail .

利用具非零元素链矩阵的性质得到其为非奇H矩阵的实用判据。

Applying the properties of non-zero elements chain matrices , conditions for them to be nonsingular H-matrices are also obtained .

主对角元全为零的Z矩阵的组合性质

Combinatorial properties of Z-matrices with zero diagonal

对角元为零的本原矩阵指标计算

Index Calculation of Primitive Matrices with Null Diagonal Elements