Skew-symmetric matrix

Based on the spectral set of skew-symmetric matrix , the result that a class sign pattern matrix with zero diagonal is unique inertia was proved by using orthogonal similarity transformation .

本文基于反对称矩阵的谱集，采用正交相似变换，得到一类具有零对角的符号模式矩阵具有唯一惯量的结论。

And we solved the problems such as : collocating the skew-symmetric matrix and the damp matrix , choosing the desired closed-loop energy function , seeking for the desired equilibrium , analyzing the stability .

同时解决了包括反对称矩阵，阻尼矩阵的配置，期望能量函数的选择，平衡点的求取，稳定性分析等问题。

For the problems of preserver determinant , there are some good results on full matrix spaces over complex number field , on full matrix spaces over any filed , on upper-triangular matrix spaces over any field and skew-symmetric matrix spaces over any filed .

关于保行列式问题，在复数域上的全矩阵空间、一般域上的全矩阵空间、上三角矩阵空间、交错矩阵空间已得到了很好的结果。

The third part discusses the eigenvalues relationship between skew-symmetric tridiagonal matrix and its concomitant matrix ( special symmetric diagonal matrix with diagonal elements are zero ) .

第三部分讨论了反对称三对角矩阵与其相伴矩阵（对角元为零的特殊对称三对角矩阵）特征值之间的关系。

Secondly , with the development of the skew symmetric and skew circulant matrix , several block skew-symmetric and skew-circulant matrix were defined , two of which were discussed in terms of features and characteristics .

其次，将反对称反循环矩阵进行了推广，得到了几种分块反对称反循环矩阵，并对其中的两种特殊分块的反对称反循环矩阵的性质进行了讨论。