收敛的阶

In Chapter 2 of this thesis,we show that the rate of convergence to equilibrium is Ot~(-∞,by using a method developed for the Boltzmann equation without external force in.

在本论文的第二章，通过使用对无外力的Boltzmann方程进行证明的一种方法，我们证明了VPB系统以近似指数阶的速度Ot~(-∞收敛到全局Maxwellian状态。

We establish a differential equation system via Newton method, and prove that the solution of nonlinear complementarity problems is exact the equilibrium point of differential equation system.

应用了牛顿的方法建立了微分方程系统，证明了非线性互补问题的解是所构造微分方程系统的渐近稳定平衡点，并给出了算法，证明了算法具有二阶收敛速度。

In chapter 3,we investigated the relationship between exponent of convergence to zero - sequence of the solution of certain homogeneous linear differential equation f + Af = 0 and the order of growth of A.

第四部分研究了一类二阶线性微分方程f+Q_1e~(p_1+Q_2e~(p_2)+Q/df=0中p_1，p_2首项系数的比值对方程解的零点收敛指数的影响，并推广到更广泛一类方程。

Secondly, a rule of the choice of step-length is presented for a non-quadratic objective function of n variables, according to the rule we prove that the Gradient Method has local n-step quadratic convergence rate for a non-quadratic function under certain conditions.

其次，对于n个变量的非二次目标函数也提出了一个步长选取的准则，并在此准则下证明了当目标函数满足一定的条件时，梯度法具有局部n-步二阶收敛速度。

A new insight into the overlapping Schwarz methods will be obtained by checking how the overlapping domains be dealt with, which would help us to unify all kinds of overlapping Schwarz methods and Bblock Jacobi method.

如果所求解的问题达到一定规模，那么最优Robin参数可以使得加法Schwarz方法的收敛速度有数量阶的提高。

In chapter three,we consider first order generalized difference scheme for linear Sobolev equation in two dimensions.Lp and W1,p-norm error estimates of the Ritz-Volterra projection u-Vhu and W1,p-norm super error estimate of uh-Vhu are made,so we obtain Lp and W1,p-norm error estimatesOf u-uh.

第三章考虑二维线性Sobolev方程的一阶广义差分格式，建立 Ritz－Volterra投影模误差估计和的模超收敛估计，从而得到的最优模误差估计。

Applying the triangular element to the stationary Stokes equation, we obtain error analysis and optimal convergent order of approximation solution.

对于各向异性三角形元和各向异性四面体元，我们分别讨论了它们的各向异性插值，将它们应用于定常Stokes方程，我们研究了有限元空间不满足散度条件的各向异性非协调有限元解法，同样得到了逼近解的误差分析和最优收敛阶。

A continuous type inferential control algorithm and the proof of the stability of the inferential control system are given in this paper.

给出了一种适用于工程常见的二阶对象的连续型推理控制算法，以及推理控制系统的稳定性和收敛性。

We prove under the local error bound condition that the Levenberg-Marquardt method with this parameter converges quadratically to a solution of the system of the equations by the technique of the singular value decomposition of the Jacobi matrix.

利用Jacobi矩阵的奇异值分解技巧，我们证明了此时在局部误差界条件下，Levenberg-Marquardt方法产生的迭代点列局部二阶收敛于方程组的某个解。

Based on this observation,this dissertation focuses on the study of the rate of convergence of nonlinear rescaling methods for nonconvex second order cone programming.

本论文主要研究非凸二阶锥规划的非线性重新尺度化方法的收敛速度，所阐述的主要研究结果可概括如下：1。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。