正定的

In chapter 2, we sets up the convergence theory of the alternating method for solving Hermitian positive definite systems of linear equations, and establishes the corresponding comparison theorem on its asymptotic convergence rate.

第二章首先介绍当系数矩阵是Hermitian正定矩阵时经典交替迭代法的收敛理论和相应的比较理论，同时我们给出了当分裂不同时对迭代渐进收敛率的影响。

In the modified method, we use orthogonal decomposition so as to delete items which lead to linear dependence of gradient in active constraints. Therefore the Hessian matrix of the DQP subproblem is positive definite.

在改进算法中，我们通过正交分解删去了有效约束函数中引起梯度线性相关的项，从而保证了DQP子问题中的目标函数中的Hesse阵正定。

By redefining multiplier associated with inequality constraint as a positive definite function of the originally-defined multiplier, it is no longer necessary to convert inequality constraints into equality constraints by slack variables in order to reuse the method dedicated to equality constraints for constructing Lagrange neural networks.

若重新定义与不等式约束相关的乘子为正定函数，则在构造Lagrange神经网络时，可直接使用处理等式约束的方法处理不等式约束，不需再用松驰变量将不等式约束转换为等式约束，减小了网络实现的复杂程度。

Lyapunov second method is applied to analysis of partial stability of equilibrium of linear ordinary differential equation with constant coefficients, the problems on partial stable matrix, partial positive definite matrix and Lyapunov matrix equation are studied.

将Lyapunov第二方法用于研究常系数线性系统零解的部分变元渐近稳定性，可引出相关的一些特殊矩阵问题，包括部分稳定矩阵、部分位正定矩阵、矩阵方程的可解性等。

Then using the Zhengding quadratic form theory, had proven a function of many variables condition extreme value's sufficient condition, and has given its application example.

而后利用正定二次型理论，证明了多元函数条件极值的一个充分条件，并给出了其应用的例子。

The main goal of this dissertation is to develop and analyze interior-point algorithms and their variants for solving semi-definite, quadratic, combinatorial and nonlinear optimization problem that arise in production management, resource allocation, communication networks and computer science.

本文主要讨论和分析了内点算法的基本理论和基本思想，并将其推广来求解一般的半正定规划、二次规划、组合优化以及非线性规划问题，这些问题在工业生产管理、资源分配、网络通讯和计算机技术等领域中是会经常碰到的。

In chapter 3, we presented a dual method for solving positive definite quadratic programming with box constraints.

在第三章，我们提出了一种解决具有边界约束的正定二次规划问题的对偶方法。

With a given interference suppression ratio, corresponding feedback parameters can be obtained by solving the Riccati equation.

通过求解Riccati方程即可得到相应的反馈参数：在Riecati方程有正定解的前提下，干扰抑制比越小。

Riccati method, based on Lyapunov stability theory, is that the design of feedback controller is transformed into the existence problem of positive symmetrical solutions of Riccati equation.

Riccati方法就是基于Lyapunov稳定性理论，将反馈控制器的设计问题转化为Riccati方程正定对称解的存在性问题。

A numerical algorithm and a numerical experiment are given. 2. The least norm, positive semidefinite and positive definite real solutions of bisymmetric matrix equations (A~TXA, XA — YAD)=(D, 0)are considered by applying the generalized singular value decomposition.

利用广义奇异值分解讨论了矩阵方程(A~T XA，XA-YAE)=(E，0)在对称次反对称矩阵集合中的解、极小范数解和在双对称矩阵集合中的解、极小范数解及正定解； 3。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。