单位矩阵

其中I为n阶单位矩阵。

Where I is n identity matrix .

单位矩阵是一种可有可无的矩阵。

The identity matrix is the matrix that does nothing .

呃，实际上对于每一个尺寸的矩阵来说，都有一个单位矩阵，因为无论X有2个，还是10个元素I矩阵都要是不同的大小。

Well , actually there 's an identity for each size because , depending on whether X has two entries or ten entries , the matrix I needs to have a different size .

当M和N为单位矩阵时，相对于M和N的加权Moore-Penrose逆就是大家熟悉的Moore-Penrose逆。

When both M and N are unital matrix , the weighted generalized Moore - Penrose inverse is just the ordinary Moore - Penrose inverse .

改进的BFGS算法（MBFGS）选取了不精确的迭代方向，并用单位矩阵近似代替目标函数的Hessian矩阵。

In the modified BFGS ( MBFGS ) algorithm , the inexact iteration directions were selected and the Hessian matrix of the objection function was replaced by the identity matrix .

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.

单位矩阵解耦控制法在纸机网前箱系统中的应用

Application of Unit Matrix Synthesis on Decoupling Control of Paper Machine Model

找出了单位矩阵的所有平方根。

Having found all square roots of an identity matrix .

返回单位矩阵（只读）。

Returns the identity matrix ( Read Only ) .

如果我用A乘M，也会得到单位矩阵。

And , if I multiply M by A , I also get identity .

接下来我要说的，是单位矩阵。

The next thing I need to tell you is something called the identity matrix .

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

线性规划的单位矩阵算法

Unit Matrix Algorithm for Linear Programming

这是单位矩阵么？

Is this the identity matrix ?

分析正交块循环矩阵特性后，介绍了基于类单位矩阵的系统化构造正交块循环矩阵的方法。

The new method of making up Orthogonal Block Circulant Matrix systematically by Paraunitary Matrix is also presented .

运用单位矩阵解耦控制方法，解决造纸过程中纸机网前箱系统中纸浆流量和蒸汽压力的耦合问题；

Using the method of unit matrix synthesis to solve the coupling problem between the paper pulp flux and the steam press in the papermaking process .

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 .

从矩阵相似的角度，给出了正交投影阵与非正交投影阵的一个本质区别：是否酉相似部分单位矩阵。

Viewing at angle of matrix similarity , an essential distinction between canonical projection matrix and un canonical projection matrix is given : is it unitary similar to a partial identity matrix .

本文充分利用了次单位矩阵的作用，将次反对称矩阵的次特征值的反问题转为反对称矩阵的逆特征值问题来解决。

The necessary and sufficient conditions and expression of the solution to these problems is given . By using the matrix J , the inverse problems of secondary eigenvalue of anti-skew-symmetric is solved .

本文给出了单位矩阵与广义循环矩阵的和矩阵的非奇异的充要条件，得到了这样和矩阵的相对增益阵列的显示表达式。

In this paper , we present the sufficient and necessary condition for the sum of a identity matrix and a generalized cyclic matrix is nonsingular , and obtain the formal representation of the relative gain array of the sum matrix .

MATLAB是现今流行的一种高性能数值计算和图形显示的科学和工程计算软件，基本单位为矩阵，其表达式与数学、工程计算中常用的形式类似。

MATLAB is one kind of extensively used science and engineering calculation software of high-performance number value calculation and graphical display .

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 .

采用新型开关策略，进一步提高单位译码矩阵的线性度；

A new switching scheme for the unit decode matrix is developed to further improve linearity .

利用单位解矩阵估计判定滞环多值电路唯一稳态

The Determination of the Unique Steady State of the Nonlinear Nonautonomous Circuits with Hysteresis Loop Element by the Estimation of the Fundamental Solutions Matrixes

描述了一种基于数字位置信息的信息隐藏方法，给出了一个单位增广矩阵，并在此基础上给出了具体算法。

This paper presents a method of information hiding based on the digital-position information , bringing forward an augmented identity matrix and a definite arithmetic upon it .

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 .

算法基于单位脉冲反应矩阵在某个时间步后的线性时间关系进行近似求解，即采用递归算法。

The algorithm , a recursive algorithm , was based on an approximation of the unit impulse response matrices by linear time dependence after a certain time-step .

从大系统及其降阶模型的单位脉冲响应矩阵近似相等出发，推导了大系统及其降阶模型的特征值应该遵守的关系式。

The relationship between the eigenvalues of both the large-scale system and its order-reduction model is derived from the requirement that their unit / impulse response matrices should be approximately equal to each other .

论文先介绍了研究串扰问题的理论基础，包括时域有限差分法的基本原理、网格划分、数值稳定性和吸收边界条件以及多导体传输线理论的电报方程和单位长度参数矩阵的计算。

This paper firstly introduces the theory of the calculation of crosstalk among lines , including basic principle of Finite Difference Time Domain Method , grid partition , numerical stability and absorbing boundary conditions , telegraph equation of transmission lines and the calculation of unit length parameter matrices .

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 .