矩阵的矩阵

Linear algebra's adjoint matrix calculation of C language accompanying matrix definition : Matrix put...

线性代数之伴随矩阵计算C语言实现伴随矩阵定义：把矩阵所有位置上的元素替换为元素的代数余子式，即得原矩阵的伴随矩阵。

The pupose of the research is to develops public key encryption and digital signature shemes based on matrix canonical decomposition problem, or matrix diagonalization problem over Z/n, the ring of integers with modulo-n addition and multiplication in particular, where n is an RSA modulus.

本课题研究基于矩阵经典分解问题，特别是Z/n上矩阵对角化问题的公钥密码与数字签名算法，其中n是一个RSA模数。新算法采用由一个矩阵多项式构成的多维单向陷门函数，其单向性由矩阵对角分解问题(即通过相似变换将矩阵化为对角型的问题)的复杂性来保障，对该函数求逆的陷门由矩阵的特征值或特征向量提供。

From the history of Matrix and Transformation and the development of curriculum at home and abroad, putting matrix combined with the transformation, and orienting the study in 2×2 rank matrix, boosting matrix up the geometrical visualization as a algebra objects are a new perspective on knowing matrix.

从矩阵和变换的历史发展过程和国内外矩阵和变换的课程设置来看，把矩阵与变换相结合，并定位在2×2阶上研究矩阵，增强作为代数对象的矩阵的几何直观性，是认识矩阵的一个新视角。

In chapter three, at first we introduces two kinds locally double αdiagonally dominant matrix from the concept of αdiagonally dominant matrix, by using this conception and the properties of αdiagonally dominant matrix and the techniques of inequalities, we discuss the relation of locally double αdiagonally dominant matrix and generalized strictly diagonally dominant matrix, according to these relations we obtain some effective criteria for generalized strictly diagonally dominant matrix.

在第三章中，首先由α-对角占优矩阵的定义，引进了两类局部双α对角占优矩阵，并利用它们及α-对角占优矩阵的性质，结合放缩不等式的技巧，讨论了局部双α对角占优矩阵与广义严格对角占优矩阵的关系，并由此得到判定广义严格对角占优矩阵的几个实用准则。

Summary: The concept of matrix and its determinant computing, matrix determinant, matrix sub-block with the elementary transformation, invertible matrix, rank of matrix; vector and its computation, the linear relationship between vector, vector group of rank; linear equations of the nature and structure of linear equations; matrix eigenvalue and eigenvector, similar to matrix and matrix diagonalization conditions, the standard quadratic form with the normal forms, quadratic and symmetric matrix There are qualitative.

内容提要：行列式矩阵的概念及其运算，方阵的行列式，矩阵的分块与初等变换，可逆矩阵，矩阵的秩；向量及其运算，向量间的线性关系，向量组的秩；线性方程组的性质与结构，线性方程组的求解；矩阵的特征值与特征向量，相似矩阵与矩阵可对角化条件，二次型的标准形与规范形，二次型和对称阵的有定性。

This paper introduces the transformation formulas of reciprocal judgement matrix and complementary judgement matrix, and presents the relationship between the perfectly consistent reciprocal judgement matrix and perfectly consistent complementary judgement matrix.

引进了互反判断矩阵与互补判断矩阵之间的转换公式，介绍了完全一致性互反判断矩阵和完全一致性互补判断矩阵之间的关系。提出了 3种基于互反判断矩阵的互补判断矩阵排序方法，详细地研究了它们的一些优良性质，如：强条件下保序性等，并进一步把这些方法推广到群体决策环境中。

In addition, the connection of complex matrices and complex symmetric matrices , namely every complex matrix is similar to a complex symmetric matrix, is found.

另外，本文找出了复对称矩阵与一般的复矩阵的关系，即每个复矩阵都相似一个复对称矩阵。

From the main results, when the spectral norm of the system matrix is less than 1 or the matrix induced by the system matrix is Schur, the fuzzy system is asymptotically stable.

主要结论指出，当系统矩阵谱范数小于1或系统矩阵的诱导矩阵是Schur矩阵时，模糊系统全局渐近稳定。

At first, the paper quote a kind of special matrix ---sign symmetric matrix , anti sign symmetric matrix , weakly sign symmetric matrix and introduced some important results in spectral property about them from some bibliographies. And then, the paper extended the formerly results and gave more general conclusions about spectral property of sign symmetric matrix.

本文首先引入了一类特殊矩阵的概念——符号对称矩阵，反符号对称矩阵以及弱符号对称矩阵，在相关文献中对这类矩阵谱特征的已经有了一些结论，本文在前人研究的基础上将相关结论做了进一步的推广，得出了有关这类符号对称矩阵谱特征的更一般性的结论。

The factorization of a complex skew-symmetric normal matrix ,which is similar to a complex symmetric normal matrix ,was demonstrated using a logically similar method.

提出一个复矩阵是对称酉矩阵的充要条件，并用逻辑上类似的方法证明一个类似于复对称正规矩阵的复斜对称正规矩阵的分解，最后对复斜对称矩阵得到了类似于复对称矩阵Takagi分解的结论。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。