查询词典 positive definite eigenvalue problem

Symmetric tridiagonal matrix; Jacobi matrix; Eigenvalue problem; Inverse eigenvalue problem; Spring-Mass system; inverse problem in vibration; double dimension; Laplace equation

基础科学，数学，代数、数论、组合理论对称三对角矩阵； Jacobi矩阵；特征值问题；特征值反问题；弹簧-质点系统；振动反问题；双倍维； Laplace方程

We make the following assumption for When 2 is positive definite matrix, different estimators about matrix of regression coefficients and inefficiency of Least squares estimate have been discussed in many documents. Considered 2 is nonnegative definite matrix, this thesis derives Best linear unbiased Estimate of parameter matrix B and estimable parameter function KBL under the meaning of matrix nonnegative definite and the property of maximum probability of BLUE is investigated.

当∑＞0时，众多文献讨论了回归系数阵的各种估计及LSE的有效性，本文考虑了当∑≥0的情形，给出了回归系数阵B及其可估参数函数KBL的在矩阵非负定意义下的最优估计，研究了它的一个最大概率性质，并且讨论了最小二乘估计成为最佳线性无偏估计的充分必要条件，在此基础上给出了均值矩阵的最小二乘估计与BLUE的偏差估计，定义了LSE相对于BLUE的一个相对效率，并给出了它的界。

By using a gauge transformation between thetwo eigenvalue problems, we obtain a correspondence between the hie -rarchy of nonlinear evolution equations associated with the Kaup-Newelleigenvalue problem and the hie rarchy of nonlinear evolution equationsassociated with the AKNS eigenvalue problem.

利用规范变换，我们得到了与Kaup-Newell特征值问题相联系的一族非线性演化方程和与AKNS特征值问题相联系的一族非线性演化方程之间的一个对应关系，并给出了Kaup-Newell系统的Darboux变换及其证明。

Firstly, the eigenvalue problem of a class of second order elliptic equation with critical potential and indefinite weights is considered. Then, using critical point theory, Trudinger-Moser inequality and the properties of the first eigenvalue, we prove the existence of a nontrivial solution for a class of nonlinear elliptic with critical potentialand indefinite weights in R~2. Secondly, we prove the existence of nontrivial solutions for a class of subcritical and critical elliptic systems with indefinite part in R~2 byusing a generalized linking theorem, Trudinger-Moser inequality and concentration-compactness principle.5. The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.

首先，讨论了R~2中一类带不定权且含临界位势的二阶椭圆型方程的特征值问题，并借此特征值问题的第一特征值性质，利用山路引理及Trudinger-Moser不等式，证明了R~2中一类带不定权且含临界位势的非线性椭圆型方程非平凡解的存在性；其次，利用广义环绕定理，Trudinger-Moser不等式及集中列紧原理，得到了R~2上一类具有强不定部分的半线性椭圆型方程组在非线性项分别为次临界增长和临界增长情形下非平凡解的存在性。

The matrix inhomogeneous eigenvalue problem is widely applied in mathematics and many other fields,for instance,the studies of the stability of solutions of linear differential equations and the stationary values of a second-degree polynomial on the unit sphere,and the constrained eigenvalue problem and so on.

矩阵非齐次特征值问题在数学和其他领域里有许多应用，如线性微分方程组解稳定性研究，球面上二次函数的稳定点求解及约束特征值问题等。

The first way is to ensure the kernel function to be positive definite by introducing space mapping transformation;the second way is using similar-SVR model to solve the unsolvable problem of SVR model with non-positive definite kernel function.

一是通过引入空间映射变换保证所得到的SVR的核函数是正定的；二是利用近似SVR模型解决具有非正定核的SVR模型的不可解问题。

This paper discusses the ways in the problem of generalized characteristics in vibration to convert rigidity matrix or quality matrix into positive definite matrix when they are positive semi-definite matrix.

讨论振动中的广义特征问题的刚度矩阵或质量矩阵为半正定阵时如何使其转化为正定矩阵。

In chapter one, we give the definition of the sub-generalized positive definite matrix,study the inverse problem of matix eqution AX = B on the sub-generalized positive definite matrix.

第一章，给出了次广义正定矩阵的定义，进而研究了矩阵方程AX=B在次广义正定矩阵类上的反问题解。

In 30 liver tissues,there was 26 positive samples in the control,and 30 positive in the infected chickens.In 30 trachea tissues,there was 19 positive samples in the control,and 24 positive in the infected flock.In 30 Fabricius'bursa tissues,there was only 9 positive samples in the control,and 21 positive in the infected chickens.

在肝组织中，对照组的30个样品检测到26个阳性样品，而感染组的30个样品全都是阳性；在气管组织中，对照组30个样品检测到19个阳性样品，而感染组的30个样品检测到24个阳性样品；在腔上囊组织中，Gal-4基因的诱导表达情况非常明显，对照组30个样品中仅有9个阳性，而感染组的30个样品中有21个阳性。

Results Among 96 cases of CD117-positive GISTs, 94 positive for nestin (in amount of this 70 diffusive positive, 21 moderate positive, 3 local positive), the other two were negative. 4 of the 5 CD117-negative GISTs and 26 of 33 Schwannomas expressed nestin too, only 3 of 15 leiomyosarcomas showed focal positive for nestin. All oesophagus leiomyomas and fibromatosis of intestinal demonstrated negativity for nestin.

结果 96例CD117阳性的GISTs中，94例表达nestin，其中70例弥漫强表达，21例中度阳性，3例局灶阳性，仅2例阴性；5例CD117阴性的GISTs中，4例表达nestin；33例消化道雪旺瘤中26例表达nestin；15例平滑肌肉瘤中3例局灶表达nestin；10例食管平滑肌瘤、6例肠纤维瘤病均为阴性。

These are places without aristocratic baggage; egalitarian places open to talent, self-improving, engaged in learning and innovation through networks that were at once competitive and cooperative.

这些地方没有贵族遗风作祟，而且对于那些有天分的人是开放的平等之地，这些人善于通过那些曾经很具有竞争力与合作精神的关系网进行自我提高以及学习创新。

Christine: You don't want to see me?

你不想见我？