2) symmetric skew circulant matrix
对称反循环矩阵
1.
This paper deals with the six properties of symmetric skew circulant matrix and presents their theorems of decomposition and canonical forms.
讨论了对称反循环矩阵的六个一般性质，并给出了标准形和分解定
3) partition symmetric anti-circulate matrix
分块对称反循环矩阵
1.
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。
4) Skew-symmetric matrix
反对称矩阵
1.
Skew - tripotent preserving linear operators from skew-symmetric matrix spaces to all matrix spaces;
反对称矩阵空间到全矩阵空间的保反立方幂等线性算子
2.
The importance of skew-symmetric matrix computation is pointed out for optimalcontrol,structural mechanics and wave propagation problems first, then the close relationbetween skew-symmetric matrix and the symplectic geoinetry is explained.
本文讨论反对称矩阵的数值计算问题。
3.
Every real skew-symmetric matrix B admits Cholesky-like factorizations B=R~T J R,where J=(0 (-I) I 0),R is a permuted triangular matrix.
设实反对称矩阵B的Cholesky-like分解为B=R~TJR,其中J=(0 (-I) I 0),R是上三角矩阵的重排。
5) anti-symmetric matrix
反对称矩阵
1.
Various properties of symmetric matrix and anti-symmetric matrix;
对称矩阵和反对称矩阵的若干性质
2.
In this paper,the concept of anti-symmetric matrix is given.
给出了反对称矩阵的概念,讨论了它的行列式、特征值、合同标准形以及秩等方面的性质和一些重要结果。
6) antisymmetric matrix
反对称矩阵
1.
One is to transform the 7 parameters model to 4 parameters model by eliminating translation 3 parameters;the other is to replace 3 rotation angles of rotation matrix with antisymmetric matrix 3 independent elements.
采取了两步措施简化三维坐标转换非线性模型:①旋转矩阵的3个旋转角用一个反对称矩阵的3个独立元素代替,将旋转矩阵由反对称矩阵构成Lodrigues矩阵;②将坐标转换7参数模型变换成基线向量模型,消去平移3参数。
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