查询词典 iterative method for eigenvalue problems

In this dissertation, the numerical method solving the model equation influid motion in some sense has solved some tough problems which traditionalmethods cannot, as in the case of capturing shockwave, enhancing resolution, andspeeding computation. In terms of capturing shockwave and enhancing resolution,this method has proved to be superior to difference method; in terms of speedingcomputation, superior to TVD scheme. Particularly, it is highly effective to solveodd singular solution problems.

本文研究的求解描述流体运动的若干模型方程的数值方法，在一定程度上解决了传统方法在某些方面的难点问题，如在捕捉激波、提高分辨率方面优于差分法，在计算速度方面优于TVD格式，特别是对处理有奇异解的问题很有效。

Expatiated the principle, construction, mechanism, use of the nerve network completely and in financial credit risk appliedly the method of the adoption and realize ,we have ProPosed the difficult problems in finanee business and given a method to solve those Problems with neural network models ,And proceeded to the estimate method of the nerve network the system describe.

探讨了金融和经济中存在的信息处理的难点，并给出了应用神经网络技术解决问题的方法，且对神经网络的预测方法进行了系统的描述。

The algorithm has some problems, such as bias problem, aliasing problem and one problem that affects none-shade part of image and is caused by Gaussian blur. To solve these problems, this paper makes some improvement on the algorithm. Firstly, it uses the Woos average depth principle and PCF algorithm to solving bias problem and aliasing problem; secondly, it designs and implements an effective method to control the range of blur; thirdly, it adapts any size texture to story information. This method for keeping information plays important part on raising realistic graphic; fourthly, it takes use of the technology of programmable graphics hardware and the method of FBO to improve efficiency of algorithm.

由于基于高斯模糊的阴影算法存在阴影走样、量化误差和高斯模糊影响非阴影部分图像等问题，因此本文从以下几个方面对算法进行了改进：第一，在算法中添加了woo的平均深度值原理和PCF算法，改善了量化误差和阴影走样问题；第二，设计并实现了一种方法，有效地控制了高斯模糊的范围，提高了三维图形的真实感；第三，使用任意大小的纹理进行存储，提高了阴影的真实感；第四，通过可编程图形硬件技术的应用，提高了算法的运行速度。

The inconsistency of judgment matrixes, great difference of relative weights and other problems often arise during screening evaluation index by AHP. To solve these problems, a new AHP method is presented by combining the weight vector rang estimation analytic theory with traditional evaluation index rejecting method. Finally, an example of deciding a evaluation index system for submarine pipeline engineering project is given and the result proves that the method is effective and feasible.

针对用层次分析法进行评价指标筛选过程中经常出现比较矩阵不一致、相对权重值差别较大等问题，将权重向量区间估计分析理论与传统的评价指标剔除方法相结合，提出了一种新的AHP评价指标筛选方法，并以海底管道工程方案评价指标体系的确定为例进行了实际应用，结果表明该方法具有较强的实用性和可操作性。

In this paper, we use the coupled fixed point theorem for mixed monotone condensing operators to obtain an existence, uniqueness and iterative approximation theorem of solutions of initial value problems for second order mixed monotone type of impulsive differential equations.

利用混合单调凝聚算子的耦合不动点定理，给出了二阶混合单调型脉冲微分方程的初值问题的解的存在唯一性及迭代逼近定理。

The basic idea of Tikhonov regularization is that linear compact operator equation of the first kind is replaced by the minimization problem of Tikhonov functional, the paper demonstrates the minimization of Tikhonov functional is an well-posed problem. In the end, the paper suggests a new type of iterative algorithm to solve inverse problems of parameter identification for one-dimension parabolic partial differential equation .

本文论证了Tikhonov泛函极小化问题是适定的，即满足西安理工大学硕士学位论文解的存在性、解的唯一性和解连续依赖于数据的稳定性：并且此极小化问题等价丁求解第一类方程的正规方程。

In chapter 2, we deal with boundary value problems of the first order functional differentional equation with impluses, some results of the existence are obtained by using the monotone iterative technique and methods of upper and lower solutions.

第二章讨论一阶脉冲泛函微分方程的边值问题，在合适的条件下利用单调迭代法和上下解方法，获得了若干解的存在性结果。

The dissertation focuses on performance gradient estimation and SRO algorithm of DES aswell as other related topics,such as modeling of DES and discrete event simulation,performancemeasure Hessian matrix estimation,Stochastic Approximationand so on.General Semi-Markov Processis adapted to describe behaviour of DES and discrete eventsimulation.A general result is obtained and applied to analyze strong consistency of performancegradient Perturbation Analysisestimator.Conditions for effectiveness of InfinitesimalPerturbation Analysisare also discussed.New PA algorithms,such as server PA,PA usingDirac generalized function,job sequence PA etc.,are proposed to deal with discreteparameters.Furthermore,strategies of combining PA algorithms with certain iterative rules areanalyzed widely in order to optimize DES parameters and some SRO algorithms are constructed toslove DES optimization problems.

论文将DES性能分析领域中性能梯度估计和单运行仿真优化作为主要的研究对象，探讨了与性能梯度估计有关的DES和离散事件仿真过程建模、高阶导数估计以及随机逼近等理论和方法；建立了具有一般性的DES和离散事件仿真的广义半Markov过程模型；获得了分析性能梯度估计量强相合性的理论结果和无穷小摄动分析算法应用的条件；提出了诸如服务台数目的摄动分析、奇异摄动分析、串联生产线和加工车间中工件加工序的摄动分析等一系列摄动的思想和算法，对连续参数和离散参数都进行了深入的研究；对摄动分析算法同优化规则结合实现仿真优化的策略也进行了广泛的分析，构造了新型的变界截尾的随机逼近算法，并用于DES的单运行仿真优化研究；最后，给出了DES性能分析方法的实证性研究结果。

Then, we investigate iterative methods in Hilbert spaces for solving such problems in the second part.

本文在第二部分讨论了Hilbert空间中均衡问题的近似迭代解。

These constructional methods can be used to treat many problems, the numerical results show that the given interval extension has smaller excessive width relative to the range of the functions over a domain. For univariate differentiable functions, the definition of interval slope is extended from the first order to high order according to their differentiability, and iterative formula of high-order interval slope computation is also developed.

对多元函数，在不要求函数的可微性及有关Lipschitz常数的条件下，给出了分量函数区间展开的斜率算术运算规则；利用函数局部凸或凹的运算特点，通过递归计算建立了多元函数区间扩张的构造方法。

The teacher likes the honeymouthed little girl very much.

老师很喜欢这个嘴甜的小姑娘。

Mr. Notker Bien's interests are traveling, spending quality time with the family and long-distance-running.

诺特卡·柏恩先生热爱旅游，长跑，以及和家人一起共度美好时光。