查询词典 triangular matrix

The text for making every variety positive definite matrix and positive sub-definite matrix to unification, the concept of almost positive definite matrix is given, and its properties and determinant theories are discussed, and many new results are obtained.

本文研究了各类正定矩阵与次正定矩阵的基本性质及行列式理论，提出了准正定矩阵的概念，获得了许多新的结果，推广了Hadamard、Openheim、Ostrowski-Taussky与Minkowski等著名不等式以及屠伯埙、杨新民等的有关结果，扩大了Minkowski不等式的指数范围。

Based on the relationship between matrix and symmetric matrix global exponential stability of the discrete-time neural networks model and the result of exponential convergence rate were obtained by using the characteristics of eigenvalues of a positive definite matrix and introducing a proper factor.

针对带有边界约束的凸二次规划问题，利用离散神经网络模型的建模原理，构造了一个神经网络模型。利用矩阵与对称矩阵的关系和正定矩阵特征值的性质，通过引入一个适当的因子，得到了该离散型神经网络模型是全局指数稳定性和指数收敛率的结果。同时分析了该结果的优越性和存在的不足，提出了解决的3种方法，最后给出了实例说明本方法取得结果的实用性

Based on the special decomposition of Hankel matrix, we can transform the problem of approximating a given matrix with a positive semidefinite real Hankel matrix of lower rank to a smooth unconstrained optimization problem.

对矩阵的低秩Hankel半正定矩阵逼近，采用特殊的分解形式，可将其转化为一个无约束的优化问题进行求解，本文应用拟牛顿方法求解无约束优化问题。

The original PageRank algorithm uses the Power Method to compute successive iterations that converge to the principal eigenvector of the Markov matrix representing the Web link graph.Authors use the sparse of the Google matrix P in the iterative matrix A =[ CP +（1- c ） E ]T,optimize the computation of each iteration and reduce storage space.

在PageRank算法中是使用乘幂法对网络链接图的Markov矩阵进行迭代计算，利用迭代矩阵 A =[ CP +（1- c ） E ]T中Google矩阵 P 的稀疏性，优化每次迭代的计算量并且减少空间存储量。

The reconstruction algorithm of temperature field based on series expansion is given. The linear equation of weights matrix, image matrix, and projection matrix is established.

提出基于级数展开法的温度场重建，建立权因子矩阵、图像矩阵和投影矩阵之间的线性方程。

A fast and real-time algorithm to obtain some vectors of the projection matrix is proposed in this dissertation to solve the conflict of time cost by matrix obtainment and memory occupied by matrix, and speed the iterative algorithm.

作者根据扇形扫描几何的对称性和重叠性，提出了一种快速实时获取投影矩阵分量的方法，较好地解决了获取投影矩阵所需速度和存放其所占内存空间的矛盾，提高了迭代重建算法的速度。

The solvability of quadratic matrix inequalities of singular H∞ control problems with infinite zeros is studied in this paper. It is proved that the quadratic matrix inequality can be solved directly via the generalized eigenvalue problems. The previous method of solving the quadratic matrix inequality involving complicated decompositions and transformations of the systems is avoided.

摘要研究具有无穷远零点的奇异H∞控制问题的二次矩阵不等式的可解性，证明了通过求解广义特征值问题，可以直接求得二次矩阵不等式的解，从而简化了原需通过复杂的系统分解和变换来求解二次矩阵不等式的方法。

As a result, the mass matrix, the stiffness matrix, the damping matrix and the excitation coefficient matrices of the dynamics differential equations are random parameter matrices. According to the minimum deviation rule of the mean squares between the random parameter system and the deterministic parameter system, the random mean square deviation vector function between the two systems has been set up and the deterministic parameter system has been solved.

应用Newton-Euler矢量法对挂接车辆系统建立了质量阵、刚度阵、阻尼阵和激励系数阵皆为随机参数阵的八自由度随机参数系统动力学微分方程，并按照随机参数系统与确定性参数系统之间的均方值偏差最小的原则，建立了两系统之间的随机均方偏差矢量函数，由此解出了相应的确定性参数系统

According to vibration theory, for many degrees of freedom systems, the flexibility matrix is obtained by reciprocal relations between flexibility matrix and stiffness matrix.

柔度矩阵元素反比于固有频率的平方，即低阶振动的模态和频率信息在柔度矩阵中所占的影响成分很大。

Firstly, the coefficient matrix is put into Excel so as to see the possible solution to the linear equation groups; then the reciprocal matrix of the coefficient matrix is obtained; lastly the solution to the linear equation group is gotten.

首先在Excel中输入系数矩阵，并判断线性方程组是否有解，然后求出系数矩阵的逆矩阵，最后求出线性方程组的解。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。