反对称矩阵

Convergence of semi-iterative method was discussed by Varga, Young and HU Jia-gan when iterative matrix is symmetric. In this paper, using Chebyshev polynomial and its properties, we obtain the convergence of semi-iterative method for a class of antisymmetric iterative matrix.

本文依据Varga， Young，胡家赣书中介绍的迭代矩阵为对称阵时，半迭代法的收敛性的理论，以Chebyshev多项式及其基本性质作为基本工具，对一类反对称迭代矩阵，研究其半迭代法的收敛情况。

Exploiting this property, we derived several necessary constraints on the number of symmetric/antisymmetric filters, which help to design multiwavelets with the desired symmetric property.

为此首先系统的调查了对应于两种类型对称性的m带紧支撑正交多小波的对称性质，即用滤波器和多相矩阵刻画了多小波系统的对称特征，并由此得到正交多小波系统中对称反对称元数目的约束条件，这对于后来对称多小波的设计是非常重要。

The paper has discussed such problims as the properties of sub-eigenvalue and sub-eigenvector of real-anti-sub-symmetric matrix,and its diagonalization.

讨论了实反次对称矩阵的次特征值与次特征向量的性质及实反次对称矩阵的对角化问题。

In this paper, a class of matrix equation AXB = C is discussed.

中文摘要：本文针对一类一般意义下的矩阵方程，即AXB=C，应用矩阵分块的技巧，并结合特定矩阵的结构特征，采用合适的分解方法，给出了它有双对称，双反对称解的充要条件以及在条件满足时的通解表达式，并给出了各自在不同情况下的最佳逼近解。

Sign symmetric matrix;anti sign symmetric matrix;weakly sign symmetric matrix;spectral property

符号对称矩阵；反符号对称矩阵；弱符号对称矩阵；特征值

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 solution group such as symmetric, skew-symmetric, centrosymmetric, centroskew symmetric, reflexive, antireflexive, bisymmetric or symmetric and antipersymmetric are successfully found.

构造了一种迭代法系统地研究了问题Ⅴ的一般解组、对称解组、中心对称解组、自反矩阵解组、双对称解组、对称次反对称解组及其最佳逼近等问题，并成功地解决了这些问题。

This paper gives the concept and some properties of partition symmetric anti-circulate matrix, and the sufficient and necessary condition is discussed.

给出了分块对称反循环矩阵的概念，讨论了分块对称反循环矩阵的性质，给出了分块对称反循环矩阵的若干充分必要条件。

Least-squares solution for the inverse problem of real matrices、symmetric matrices and bisymmetric matrices are studied in this thesis. The thesis includes the following contents.

本文研究了子阵约束下实矩阵、实对称矩阵和双对称矩阵反问题的最小二乘解，全文主要包括以下内容。

The concepts in References 1 and 2 are broadened and the properties of the centrosymmetric and skew centrosymmetric matrices are exploited in detail.

推广了文［1，2］的概念，系统地叙述了中心对称和反中心对称矩阵的性质，导出了一类求解系数矩阵为中心对称和反中心对称线性方程组及超定方程组的缩减算法。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。