查询词典 hessian matrix

Of the fundamental matrix in (2) satisfies the differential equation =A , it follows that the matrix = itself satisfies the matrix differential equation Because its column vectors are linearly independent, it also follows that the fundamental matrix is nonsingular, and therefore has inverse matrix .

基本矩阵的求解由于（2）中的基本矩阵的列向量满足微分方程A，进而这个矩阵本身就满足矩阵微分方程。

In chapter one,we discuss tournament matrices that can not end in tie and theyare(0,1)-matrices,we first obtain a better lower bound for the number of regulartournament matrices,then we discuss the payoff matrix of tournament matrix,obtainsome properties of positive tournament matrices,a correlation between the spectralof a tournament matrix and its payoff matrix.We find serveal conditions that areequivalaent to a tournament matrix having 1 as its a eigenvalue.

第一章讨论不允许平局的竞赛矩阵-（0，1）-矩阵，得到了正则竞赛矩阵数目的一个下界，它改进了文献〓中已有的结果；在文献〓的基础上进一步讨论了正竞赛矩阵的性质，给出了利用已知平衡向量构造新平衡向量的方法；讨论了竞赛矩阵和它的支付矩阵的特征值之间的关系；指出了文献〓中的一个错误，回答了文献〓中的一个公开问题，得到了整数1为竞赛矩阵的特征值的充要条件及这种矩阵的谱根与得分向量之间的关系。

As the widely used resin matrix and composites, two kinds of epoxy matrix and its CF/epoxy composite and GF/composite have different mechanics property under different temperature. The result shows that the thermal property of the composite mainly depends on the matrix. If the matrix can resist high temperature, its composite can also have high strength under high temperature. resin matrix composite, thermal resistance, thermal deformation coefficient, severity retentivity ratio

多年来 ，人们一直致力于耐高温复合材料的研究工作，在耐高温树脂中能经受长期高温氧化的热固性树脂只有聚酰亚胺，本文主要研究三种树脂基复合材料在不同温度下的性能，即以聚酰亚胺为基体的复合材料以及两种环氧基复合材料在不同温度的性能。2 实验2 。1 材料选择研究中所用的增强材料选用英国考陶尔兹公司T30 0型碳纤维和进口UM - 40碳纤维以及南玻院S2高强玻璃纤维

At first, the paper quote a kind of special matrix ---sign symmetric matrix , anti sign symmetric matrix , weakly sign symmetric matrix and introduced some important results in spectral property about them from some bibliographies. And then, the paper extended the formerly results and gave more general conclusions about spectral property of sign symmetric matrix.

本文首先引入了一类特殊矩阵的概念——符号对称矩阵，反符号对称矩阵以及弱符号对称矩阵，在相关文献中对这类矩阵谱特征的已经有了一些结论，本文在前人研究的基础上将相关结论做了进一步的推广，得出了有关这类符号对称矩阵谱特征的更一般性的结论。

Our results improve the former results. For periodic Jacobi matrix, some new spectral properties of periodic Jacobi matrix are given by studying the relationship of the eigenvalues of periodic Jacobi matrix and its n—1 principal submatrix. Applying these spectral properties, we present a necessary and sufficient condition for the solvability of an inverse problem of periodic Jacobi matrices and discuss the number and the relationship of its solutions. Furthermore, we propose a new algorithm to construct its solution and compare it with the former algorithms. As this inverse problem of periodic Jacobi matrix usually has multiple solutions as many other eigenvalue inverse problems, we study the uniqueness of this problem. And a necessary and sufficient condition is given to ensure its uniqueness, under which an algorithm is presented and the stability analysis is also given. Finally, we put forward a new inverse problem for periodic Jacobi matrix which has not been solved.

对周期Jacobi矩阵特征值反问题，通过研究周期Jacobi矩阵与其n-1阶主子阵特征值的关系，给出了周期Jacobi矩阵的一些新的谱性质；利用这些谱性质，研究了一类周期Jacobi矩阵特征值反问题，用新的方法推导出了该类特征值反问题有解的充分必要条件，并讨论了解的个数以及解与解之间的关系；此外，提出了一种新的构造周期Jacobi矩阵反问题解的数值算法，并与前人的算法做了一定比较；由于周期Jacobi矩阵特征值反问题和其他很多特征值反问题一样往往存在多个解，本论文给出了周期Jacobi矩阵反问题解唯一的充要条件，并发现周期Jacobi矩阵特征值反问题的解唯一当且仅当构造的矩阵满足一定的条件；在解唯一的情况下，给出了构造唯一解的数值算法，并做了相应的稳定性分析；最后，提出了一类新的有待于解决的周期Jacobi矩阵特征值反问题。

In many practice problems such as to know the resonnance frequency of a structure and to know the critical value for the stability of a dynamical system,often need to compute the eigenvalues of a symmetric matrix. The chief method to compute the eigenvalues of a symmetric matrix is first to transformate the matrix to a symmetric tridiagonal matrix similarly and orthogonally, then to use the QR method with shift to the symmetric tridiagonal matrix.

很多实际问题，如求结构振动的固有频率，动力系统稳定性的临界值等常常归结为计算对称矩阵的特征值，而首选的计算方法是先把该矩阵正交相似变换成一个对称三对角矩阵，再对这个对称三对角矩阵用带位移的QR方法。1968年J.H。

Thereby, sparsity of the Hessian matrix of the objective function is maintained by the approximate updated matrix sequence.

此算法的另一个重要性质是：算法产生的逼近目标函数Hessian阵的矩阵序列保持对称正定性。

The calculation of controlling unstable equilibrium point of a post fault power system is transformed to nonlinear least squares issue. The Jacobi matrix, Hessian matrix and the residue formula are derived. It is found that the residue is changed in the calculating process, so it is appropriate to use the switch method to solve the problem.

将计算电力系统故障后的主导不稳定平衡点的问题转化为最小二乘问题，推导了计算所需要的雅可比矩阵、海山阵以及计算过程的残量公式，发现残量随著计算过程而变化，因此该问题适合于采用开关算法。

Finally, a hospital viscosity of plasma diagnostic system is optimized by adjoint matrix method and M-P generalized inverse matrix method of MTS. The results show that adjoint matrix method can't select effective variables and M-P generalized inverse matrix method is robust.

最后，利用马氏田口伴随矩阵法和M-P广义逆矩阵法对某医院现阶段血粘度诊断系统进行优化，说明伴随矩阵法在选择有效变量时存在的问题和M-P广义逆矩阵法的稳健性。

The theory and approach are introduced, and the general expression containing arbitrary parameter is obtained for the feedback gain matrix. This method changes the problem of multi-input system to several problems of single-input. The number is the cycle index of system matrix. Compare with some known results, this method put forward that the least number of unknown entries of the feedback gain matrix is the order of the system matrix.

汽配置问题，得到了反馈增益矩阵的一般表达式，此表达式中含有任意参数，此方法将多输入线性系统极点配置问题转化为个数为系统矩阵循环指数的单输入系统的极点配置问题，进而推导出确定一个反馈增益矩阵的最少元素个数即为系统的阶数。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。