讨论了一般符号模式矩阵的幂等性和广义逆。
I discuss idempotent, generalized inverses of general sign pattern matrix.
此外，考虑了正传递模糊矩阵的幂序列的收敛性。
Besides, the convergence of power sequences on positive transitive fuzzy matrixes is considered.
所以，研究模糊系统的稳定性关键之一在于研究模糊关系矩阵的幂序列的收敛性。
So, to study the convergence of powers of a fuzzy matrix is one of keys to study the stability of a fuzzy system.
在给出它的若干特征之后，指出这一类半群也是群的矩阵的幂零元-理想扩张，但反之未必成立。
Also, after some prelimenaries, We have Obtained that the semigroup is further nil-extension of the matrix of groups, but the converse is not all true.
通常是将求一般矩阵的方幂转化为求对角矩阵的方幂。
Seeking a power of general matrix is often through seeking a power of diagonal matrix .
交换环上矩阵代数的可解子代数和幂零子代数的自同构分解问题是一类重要的具有理论意义的研究课题。
It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.
利用随机矩阵理论我们发现相对收益的关联矩阵的特征值分布也具有幂律的特征。
By using random matrix theory we find that the distribution of eigenvalues of correlation matrix of relative return also follows a power-law.
我们在研究矩阵及学习有关数学知识时，经常要讨论幂零矩阵的性质。
Its properties are frequently used and discussed in the study of matrix and related mathematical knowledge.
通过对幂零矩阵的秩的研究，给出了一般方阵幂的秩的求法。
By researching nilpotent matrix rank, a solution is obtained for general matrix power rank.
在矩阵元素的高次多项式中，任一变元的幂次不得高于9次，矩阵元素最大的字符串长度一般在2500左右。
Any of the high order polynomials of the matrix elements should not be higher than 9 degrees, and, in general, the maximum string length of matrix elements is about 2500.
幂法是求矩阵最大特征值及最大特征向量的经典方法。
Power Method is the conventional way for finding the greatest eigenvalue and the greatest eigenvector of a matrix.
三阶方阵虽是最基本的矩阵，但是处理这类矩阵问题并不那么简单，例如，求一般三阶方阵的方幂。
The three factorial square matrix is the most basical matrix, however, it is not easy and simple to deal with the problems on this sort of matrixes as mentioned above.
在此基础上，给出了环形非球谐振子径向矩阵元的通项公式和不同幂次径向矩阵元之间所满足的递推关系。
On the basis of previous works, in this paper, the general formulas and the recurrence formulas for radial matrix elements of the ring-shaped non-spherical oscillator are derived.
采用布尔矩阵，得到了线有向幂敛指数的一些结果。
By using Boolean matrix, some results of power convergence exponent of line digraph are given.
本文给出债务关系的模糊矩阵表示，通过模糊矩阵幂运算实现了间接债务关系的基本要素-债务链，债务圈，债务量的刻画。
In this paper, the fuzzy matrix expression of debt relations is given and its power operation is used to judge the existence of the indirect debt relation.
给出并证明了实幂等矩阵的九个等价条件，以及实对称幂等矩阵的一个等价条件。
Nine equivalent conditions of real idempotent matrix are given and proved, and one equivalent condition of real symmetric idempotent matrix is also given in this paper.
用图论方法对一类极大代数意义下矩阵进行了研究，给出了矩阵方幂元素的性质。
In this paper, we study the problem of a kind of matrix in the sense of minimax algebra by using graph theory method and present the property of matrix power element.
给出了两两互素多项式下线性变换的核的直和分解，并应用于幂等矩阵（对合矩阵）的秩的等式证明中。
The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.
利用压缩相干态的理论和有关性质，导出了压缩相干态下谐振子任意次幂的坐标算符矩阵元的表达式，并对所求的结果进行了讨论。
Using the theoretics and properties of squeezed coherent state, the matrix elements of any power of coordinate operator for harmonic oscillator is deduced; and the result is discussed.
采用有向图的矩阵表示，得到了线有向图的幂敛指数和周期的有关结果。
By using the matrix representation of a digraph, some results about the index of convergence and period of a line digraph are obtained.
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 of 3-nilpotent matrix defined in normal number fields.
本文给出用特征矩阵分解与初等行变换求A的一系列幂的简捷方法。
This paper shows some simple methods to calculate the powers of A using the characteristic matrix decomposition and the elementary row operation.
本文从矩阵的不同角度讨论了幂零矩阵的相关性质。
This article discussed the nilpotent matrix related nature from the matrix different angle.
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.
幂零矩阵性质及应用摘要：幂零矩阵是一类特殊的矩阵，在矩阵理论中有重要的作用。
The Nature And Application Of Nilpotent Matrix Summary: Nilpotent matrix is a special type of matrix that has an important place in matrix theory.
幂零矩阵性质及应用摘要：幂零矩阵是一类特殊的矩阵，在矩阵理论中有重要的作用。
The nilpotent matrix nature and applies the abstract: The nilpotent matrix is a kind of special matrix, has the vital role in the matrix theory.
本文给出了一般非负广义幂等矩阵的充要条件。
In this paper, we study nonnegative generalized idempotent matrices in detail.
利用群作用给出了一经线性 （无限 ）群在无限幂群上的作用 ，利用这一作用定义了无限幂群的正则表示和相应的矩阵表示 。
In this paper, the regular representations and matrix representations of an infinite powergroups are given by the infinite linear group actions on the infinite powergroup.
利用群作用给出了一经线性 （无限 ）群在无限幂群上的作用 ，利用这一作用定义了无限幂群的正则表示和相应的矩阵表示 。
In this paper, the regular representations and matrix representations of an infinite powergroups are given by the infinite linear group actions on the infinite powergroup.
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