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.
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.
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.
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.
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.
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.
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.
作为本文的主要结果，关于交换环上矩阵的正点定理，零点定理和非负点定理被建立。
As the main results, it gives a Positivstellensatz, a Nullstellensatz and a Nichtnegativstellensatz for matrices over a commutative ring.
子空间系统辨识方法确定系统的阶次是由可观测矩阵的非零奇异值来决定。
The system order is decided by non-zerosingular values of the observation matrix in the subspace state space systemidentification method.
研究如何应用位移秩的方法有效地求出一个给定的结构矩阵的核空间中的一个非零元素。
The main problem considered in this paper is how to find efficiently a nonzero element in the kernel of a given structured matrix by the displacement approach.
对有定号解的线性方程组或有定号零空间的实矩阵进行了更深入的研究。
In this paper, a more careful research on linear systems with signed solutions and real matrices with signed zero - space is made.
提出了一种由一个完备序列的移位序列集和酉矩阵构造零相关区序列集的方法。
The key of this method is to spread a perfect sequence by correlation product of the shift sequences set of the perfect sequence and corresponding unitary matrix.
由结构刚度矩阵行列式值为零的失稳条件导出结构失稳特征方程，从而精确地确定系统临界力值。
The precise critical force of a system can be deduced from the fact that the determinant of stiffness matrix of the system is equal to zero in the critical condition.
通过建立产品的装配特征矩阵，确定了装配零、部件在各个方向的自由度。
An assembly feature matrix was established, the elements of which denote the degree of freedom (DOF) of assembly features of a part in its reference frame.
刻画了在非负无零因子交换半环上强保持可逆矩阵的线性算子。
The linear operators that strongly preserve invertible matrices over some antinegative commutative semirings with no zero divisors were characterized.
刻画了在非负无零因子交换半环上强保持可逆矩阵的线性算子。
Then T is an invertible linear operator preserving rank - partial ordering on Sn(F) if and only if there exists an invertible matrix (F) such that where .
色彩矩阵的元素是根据先列后行的顺序来编列索引 （以零起始）。
The elements of a color matrix are indexed (zero-based) by row and then column.
本文阐述了一种选取加权矩阵的新方法——零点追加法。
The paper presents a new method for selecting weighted matrixes-zero-point addition.
将几何信息导入零场方程得到任意粒子的散射的T矩阵。
With the geometric information in combination with null-field, T-matrix of arbitrary- shaped particle can be found.
提出了一种由一个完备序列的移位序列集和酉矩阵构造零相关区序列集的方法。
Based on perfect sequences and unitary matrices, this paper constructs a kind of hexa-phase ZCZ sequence and also improved the method, finally analyzes their correlation functions.
首先，通过重新定义样本的类内散布矩阵和类间散布矩阵，提出了一种新的零空间法。
First, by redefining the within class scatter matrix and the between class scatter matrix, a new null space method was presented.
在伽例略变换下，巧妙利用零矢量，给出了任意正交曲线坐标系中质点速度和加速度的矩阵表式方法。
Under Galilean transformations, expressions of Veloeities and accelerations in vertical curve Coordinates are derived by the ingenious use of Zero Vector and means of matrix.
通过对图像进行奇异值分解，将一幅图像转换成只包含几个非零值的奇异值矩阵，实现图像压缩。
Digital image is transformed into singular value matrix that contains non-zero singular values by singular value decomposition (SVD), the image is compressed.
通过对图像进行奇异值分解，将一幅图像转换成只包含几个非零值的奇异值矩阵，实现图像压缩。
Digital image is transformed into singular value matrix that contains non-zero singular values by singular value decomposition (SVD), the image is compressed.
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