矩阵单位

本文给出了矩形带，完全单半群，半格，clifford半群，矩阵单位半群的理想，双理想与双主双理想的刻画。

In this paper , the ideals , bi-ideals and dual-principal bi-ideals of rectangular band , completely simple semigroup , semilattice , Clifford semigroup , matrix unit semigroup , bicyclic semigroup are depicted .

本文给出了有限维实C~-代数复化中标准矩阵单位基的描述，继而给出了（AF）实C~-代数的等价定义。

In this paper , we describe the standard matrix unit basis in the complexification of a finite dimensional real C ~ - algebra , and we give the equivalent definition of a ( AF ) real C ~ - algebra .

本文基于旋转矩阵单位四元数分解定理，提出一种由3D特征点空间位置估计运动参数的算法。

Based on the unit quaternion decomposition of rotation matrix , this paper puts forward an algorithm to estimate motion parameters from the space position vectors of 3D feature points .

在证明过程中充分利用了代数的特殊结构&矩阵单位系这个工具。

The proof of it makes full use of the spascial frame-matrix unit system .

一种基于旋转矩阵单位四元数分解的运动估计算法

An algorithm of motion estimation based on unit quaternion decomposition of the rotation matrix

引入广义逆和Backus-Gilbert反演理论，构造了牛顿-广义逆方法和自然逆方法计算优化算法的搜索方向，进行河网糙率反演，并推导了两种算法反演解估计的分辨率矩阵和单位协方差矩阵。

According to generalized inverse theory and Backus-Gilbert inverse theory , singular value decomposition ( SVD ) and Newton-generalized inverse matrix were used to analyze the optimization orientation . The resolution matrix and covariance matrix was deduced , which could describe inversion results reliability .

同时通过简化大规模矩阵为单位阵和降低矩阵维数的方法，减小了相应的信道估计算法复杂度。

By reducing the mass matrix to unit matrix and the number of matrix dimension , the correlated complexity of channel estimation algorithm has decreased as well .

若一个自伴系统的质量参数矩阵M为单位矩阵，论文提出了此系统解耦变换矩阵和对角矩阵需要满足的条件。

If the quality parameters of a self-adjoint system is unit matrix , this paper presents the condition that these transformation matrix and diagonal matrix should meet to decouple the system .

对称矩阵空间上的单位保持算子

Units Preservers on symmetric matrix spaces

幂等矩阵线性组合表出零矩阵和单位矩阵的研究

The Researches on the Zero Matrices and Identity Matrices for Linear Expression of Idempotent Matrices

实质上是将A通过初等行变换变成一个上三角矩阵，其变换矩阵就是一个单位下三角矩阵。

A substance is through the primary transformation into an upper triangular matrix , the transformation matrix is a unit lower triangular matrix .

通过分析，用常规的雅可比矩阵条件数计算灵巧度会因矩阵单位不同而在某些位姿处变化趋势不一致。

When using the normal Jacobian matrix to analyze the dexterity values in certain posture , an inhomogeneity trend will be occured .

特别，得到了当布尔矩阵A的加权Moore-Penrose逆存在时，A的加权Moore-Penrose逆是唯一的，并且当权矩阵大于等于单位矩阵时A的加权Moore-Penrose逆正好等于A的转置矩阵。

In particular , this paper obtains that the weighted Moore-Penrose inverse of a Boolean matrix A is unique whenever the weighted Moore-Penrose inverse of A exists and if the weight matrices are not smaller than the unit matrix the weighted Moore-Penrose inverse of A equals to transposed matrix of A.