查询词典 diagonalizable matrix

Third, this paper proposes a method of dealing with singularity of Jacobian matrix of robot manipulator, then introduces singular robust inverse matrix of Jacobian matrix.

并在拉格朗日—欧拉方程的基础上给出了机器人操作器的动力学方程，对动力学方程中的惯量项、重力载荷项进行了简化，并给出了哥氏力和离心力项的简单求法。

Seeing image as a matrix, the method applied singular value decomposition on image matrix to decompose image information to a series of sub-spaces correspond to singular value and singular value vector, and then by reconstruction of image matrix using effective singular value to remove noising.

从矩阵的角度出发，通过对图像矩阵进行奇异值分解，将包含图像信息的矩阵分解到一系列奇异值和奇异值矢量对应的子空间中，然后通过有效奇异值重构图像矩阵达到去噪目的。

This chapter defines the conceptsof P linear operator,〓 linear operator and 〓 linear operator by extending theconcepts of P matrix,〓 matrix and 〓 matrix to the linear operator from thelinear space of symmetric matrices to itself.In this chapter,we also present a path-following method and a potential reduction method for solving general linear matrixcomplementary problems,and analyzes their computational complexities undersuitable assumptions.

本章将第二章中给出的P矩阵、〓矩阵及P矩阵的概念推广到由实对称矩阵构成的向量空间到其自身的线性算子L上，得到了P线性算子、〓线性算子及P线性算子的概念，给出了求解一般线性矩阵互补问题的路径跟踪法和势函数约减法，并在L为P线性算子的假设下分析了这些算法的计算复杂性。

From the main results, when the spectral norm of the system matrix is less than 1 or the matrix induced by the system matrix is Schur, the fuzzy system is asymptotically stable.

主要结论指出，当系统矩阵谱范数小于1或系统矩阵的诱导矩阵是Schur矩阵时，模糊系统全局渐近稳定。

Sign symmetric matrix;anti sign symmetric matrix;weakly sign symmetric matrix;spectral property

符号对称矩阵；反符号对称矩阵；弱符号对称矩阵；特征值

To obtain the approximate solution, the pressure acting on the gate is divided into two parts, one is the fluctuating pressure of the flow underneath the stationary gate, which is investigated with experiment; the other is the hydrodynamic pressure due to the vibration, which is equivalent to the attached mass matrix, damping matrix and stiffness matrix of the equation.

为了获得方程的近似解，本文将作用在闸门上的水动力荷载分为两个部分，一是闸门无振动时的水流压力，用水力模型试验测定；二是由于闸门振动引起流场扰动的动水压力，通过运动方程中的附加质量阵，附加阻尼阵和附加刚度阵来等效。

Secondly, when kalman filter has reached steady state its error covariance will have a very small stationary value, namely filter dropping off'. Thirdly, the traditional kalman filter cannot adjust its filter parameters with statistic characteristic of the noise. To overcome the deficiency of kalman filter, an SVD-based adaptive kalman filter is put forward in the paper. The filter restrains the filter divergence by matrix singular value decomposition. The eigenvalues and eigenvectors of the matrix are insensitive to tiny change of matrix element and acceptable error.

然而，传统的卡尔曼滤波器存在以下问题：问题一，因噪声统计特性估计不准确和计算机舍入误差引起的滤波发散现象；问题二，在卡尔曼滤波器达到稳态时，其误差方差阵将饱和使其对信号的突变变得不敏感，问题三，传统的卡尔曼滤波器对滤波参数无自适应能力，不能随着噪声统计特性的改变而调整自身的滤波参数。

Be based on these conditions, construction gives strict linear matrix inequality , filling property proved the Schur that uses matrix next to be below the condition of linear matrix inequality, system of earning closed circuit is asymptotic stability, specific condition feedback gave out to control a law in the meantime.

基于这些条件，构造出严格的线性矩阵不等式，然后利用矩阵的Schur补性质论证了在线性矩阵不等式的条件下，所得闭环系统是渐近稳定的，同时给出了具体的状态反馈控制律。

The matrix extension problem is, under some constrained conditions, constructing a matrix A with a given matrix A_0 as its submatrix.

矩阵扩充问题是在某种约束条件下构造矩阵A，使得矩阵A的一个子矩阵为A_0.1979年，H。

On the ground that the covariance between the disturbing gravity field elements is not isotropic, the covariance matrix has a complicated structure (its submatrix being not repetitive Toeplitz matrix) and thus its degree cannot be degraded with transformation matrix method, so it cannot be put into practice. So far, the application of least squares collocation to the modeling and data processing of the horizontal disturbing gravity field observations has not been found in literature.

由于水平扰动场元之间的协方差并非各向同性，导致协方差矩阵结构复杂(子矩阵不是 Toeplitz 循环阵)，不能利用变换矩阵将其降阶，无法付诸实践，迄今尚无最小二乘配置理论应用于水平扰动场元观测量的模型化公式和数据处理方法。

Yet, Edith says, there was always money in the bank.

但是Edith说，她的银行户口里面总是有钱。

We have created a series of files that resolve this problem--one for each day of the 40 days of purpose.

我们制作一系列的档案去解决这问题---一个为标竿40天中的每一天。