1) matrix product
矩阵积
1.
This paper studies the reverse order law of the weighted Moore-Penrose inverse of a matrix product.
本文研究了矩阵积的加权Moore Penrose逆的反序律 ,给出了 (AB) + MP=B+ NPA+ MN的若干充要条件 ,推广了以往的相关结
2.
The necessary and sufficient condition for the validity of the reverse order law for the (T,S,2)-inverse of a matrix product is given.
给出了矩阵积的(T,S,2) 逆的反序律成立的充分必要条件。
2) 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。
3) 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。
6) matrix multiplication
矩阵乘积
1.
Optimze algorithm of matrix multiplication based on AltiVec technology;
基于AltiVec技术的矩阵乘积优化算法
2.
Improved algorithm of matrix multiplication based on memory;
基于存储的矩阵乘积优化算法
补充资料：积积
1.长久累积。
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