1) matrix square-product
矩阵方积
2) matrix power products
矩阵乘积方幂
1.
Two problems proposed by Jiao Zhengming on trace inequalities for matrix power products are solved in complex field and quaternion field.
在复数域和四元数体上讨论并解决了焦争呜提出的关于矩阵乘积方幂的迹的不等式的两个问题：１）如果Ａ，Ｂ分别是ｎ×ｎ的自共轭、斜自共轭的四元数矩阵，是否有Ｒｅｔｒ（ＡＢ）￣ｍ≥Ｒｅｔｒ（Ａ￣ｍＢ￣ｍ）？２）如果Ａ，Ｂ都是ｎ×ｎ斜自共轭四元数矩阵，是否有Ｒｅｔｒ（ＡＢ）￣ｍ≤Ｒｅｔｒ（Ａ￣ｍＢ￣ｍ）？这里ｍ为自然数。
3) the protocol of matrix product
多方矩阵乘积协议
4) matrix of sum square and crossproducts
平方和与乘积和矩阵
5) Kronecker product
矩阵直积
1.
By Kronecker product and the eigenvector of the coefficient matrix, the linear equations set for the hand-eye transformation matrix is derived and the error induced by discarding a block line equation in Nicolas method is overcome.
文中利用矩阵直积和参数矩阵特征向量推导了机器人手眼转换矩阵的线性方程 ,通过最小二乘法得到线性闭解 ,采用Rodrigues公式对所求解的旋转部分进行正交化以消除测量噪声的影响 ,由计算试验证明正交化所引入的误差在绝大多数情况是允许的 ,所求线性解严格满足手眼方程。
2.
The presented methods are based on kronecker product and dual quaternion can solve the rotations and translations simultaneously, and no error propagation.
和现有算法相比,给出的算法分别基于对偶四元数和矩阵直积理论,均可一次计算出标定方程的旋转部分和平移部分,不存在误差的传递问题。
6) matrix volume
矩阵体积
1.
The emphase of this paper is to study the defination and properties of matrix volume,it suggested that .
矩阵体积的概念与高维欧氏空间几何学中平行多面体的体积和高维勾股定理相关，也与矩阵代数中向量空间理论有着密切的联系，鉴于此，本文首先对Hilbert空间几何学进行了简要的介绍，在此基础上引入n维欧氏空间，并结合大地测量中的几个具体问题进行了初步的探讨。
2.
Based on the conception of the matrix volume,we presented the definition of the orthogonal degree of the matrices,generalized and extended the determinant method mentioned above.
基于矩阵体积的概念,引入矩阵向量正交度,对病态问题的行列式诊断方法进行了推广和扩展。
补充资料：方积
1.体积。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条