查询词典 jacobian method of eigenvalue problem

In Chapter 1, two solutions to the elliptical boundary value problem have been constructed through a monotone iterative process, and they might be identical. In Chapter 2, the author expresses the local solution to the parabolic initial boundary value problem taking advantage of Green function. In Chapter 3, the asymptotic solution to the initial value problem of Duffing equation is obtained and the method for finding the approximate solution to the inverse problem is put forward.This paper is planned with a view to the author's research means.

从研究结果看：第一章通过单调迭代过程构造出椭圆型方程的边值问题的两个解，并且指出二者可能是同一个解；第二章利用格林函数给出了抛物型方程的初边值问题的局部解的解析表达式；第三章中，先对Duffing方程的初值问题写出解的渐近展开式，再对其反问题提出一种求近似解的方法。

CBFEC emphasizes direct correspondence of concepts in EC with its software architecture for ease of understanding and using; minimal coupling with specific problem structure for easy adaptation it to solve a large number of wholly different problems; interface-centered design for extendibility. To achieve those objects, the problem-solving method of EC is analyzed and the problem-solving procedure of EC is divided into three interactive aspects: population-based stochastic searching mechanism, problem specific information to implicitly guide the stochastic searching, and the observation and control of the computation procedure of EC. Then the key concepts of EC are identified in those three aspects; the normal implementations of those concepts are summarized; the interfaces represents those concepts in software are abstracted; the collaborations of components through those interfaces are designed. CBFEC is implemented on mainstream component software platform COM/DCOM (Component Object Model/Distributed COM from Microsoft), which includes interfaces definitions, commonly using EC components implemented those interfaces, such as Simply EA component, Steady State EA component, EA component, EA component, Population component, Tournament Selection component, Linear Ranking Selection component, Nonlinear Ranking Selection component, Random Number Generator component, etc, and the collaborations of those components through those interfaces.

具体的做法是把演化计算看作是基于组件的软件工程的一个应用领域：首先分析了演化计算求解问题的一般思路和方法，把演化计算问题求解过程分为："设计基于群体的随机搜索机制"、"研究问题的性质并以此隐含地定义算法的搜索方向"和"求解过程的观察与控制"三个部分；然后分别找出各个部分中的关键概念，总结这些概念现有的一般实现方法，抽取其本质，以此结合设计模式来定义组件软件的接口；通过分析演化计算各个概念之间的相互联系来设计组件软件间通过接口的进行交互的方式；最后还在目前一种主流组件软件开发平台COM／DCOM（微软提出的组件对象模型）的基础上实现了常用的演化计算组件，如简单演化算法组件、稳态演化算法组件、演化算法组件、演化算法组件、种群组件、锦标赛选择策略组件、线性排名选择策略组件、非线性排名选择策略组件、随机数发生器组件等等。

On the other hands, the application of the particle swarm optimization algorithm in discrete optimization problem—resources constrained project scheduling problem, which is always used in continuous optimization problem, provides some important train of thought and method for resources constrained project scheduling problem as well as widening the application area of particle swarm optimization algorithm.

同时将在连续优化问题中得到成功应用的PSO算法用于离散域的RCPSP，既拓展了PSO算法的应用领域，也为RCPSP的求解提供了一种新的思路和方法。

With the help of the fundamental theory to singular measure differential system, Green's function matrix expression of solution and well-posed boundary condition are given, together with discussing the properties of the Green's function matrix under the influence of impulsive effect In section 5, based on Lyapunov function method, we investigate that the existence of the first boundary value problem to second-order singular system by macthing the solutions to the second boundary value problem; and the existence and uniqueness of three-point boundary value problem to third order singular system by macthing the solutions to two-piont boundary value problem.

第五部分借助Lyapunov函数法，通过将第二类边值问题的解对结成第一类边值问题的解，得到了二阶广义系统的第一类边值问题解的存在性；通过将两点边值问题的解对结成三点边值问题的解，得到了三阶广义系统的三点边值问题解的存在性和唯一性。

Two new concepts, named morphism attribute and morphism event were proposed. The problem of consistency maintenance when multi-resolution models were parallel implemented was researched and a new algorithm was proposed. Then the problem of interaction conflict in MRM was researched. To solve this problem, three methods were given, including mutex locking, conflict detecting and model-oriented method. The affection of morphism interaction to simulation result was analyzed and some basic principles to deal with this problem were given.

提出了同态属性和同态交互的概念；研究了多分辨率模型并发运行时的一致性维护问题，给出了多分辨率模型的一致性维护算法；研究了并发交互冲突的解决方法，包括：加锁方法、冲突检测法和面向模型的方法等；分析了同态交互对仿真结果的影响，给出了处理同态交互的基本原则。

The question of searching characteristic points or straight lines on moving rigid body is decomposed into two relatively independent sub-questions. The first one is to evaluate the characteristic of points and straight lines on moving rigid body, whose mathematics model is a kind of special non-differential max-mini optimal problem with inequality constraints. By the method of Saddle-point Programming and maximum entropy, the problem can be transformed as a differential optimal problem with single objective. The second oner is to search approximative character points or straight lines on moving rigid body within design space, whose mathematic model is nonlinear and non-differential problem with multiple constraints.

本文将在运动刚体上寻找特征点或直线的优化问题分解为两个相对独立的子问题，一是对运动刚体上点或直线的特征性评定，其实质是平面曲线的圆度或直线度的评定问题，优化模型是以最大误差为最小作为优化目标的约束不可微的优化问题，本文采用鞍点规划和极大熵方法，将其转化为单目标可微优化模型；二是在设计空间内，寻找运动刚体上特征性评定指标最小的近似特征点或直线，其优化模型是非线性、多约束的不可微优化问题，本文提出用遗传算法和BFGS局部搜索法相结合来求解。

The dissertation investigates the multilane-to-uniline problem in order to solve the theory problem and technique problem of feeding high speed palletizer with several production lines. The harmony equation of the problem is established with the method of movement tracing according to the thought of unit accumulation and free bumping of materials from different lines. For the random of unit materials forming, a strategy of key assignment is put forward to avoid the bump of materials from different lines.

为了解决采用多条供料线向高速码垛机供料以充分利用高速码垛机的处理能力的理论问题和技术问题，本文从一般的角度研究了多线合一问题，根据料股缓冲的思想和无供料干涉的原则，利用运动追踪的方法建立了多线合一问题的协调方程，由此建立了结构参数之间的相互制约关系，为结构参数的制定提供了理论依据，在随机供料的情况下，由于各线料股的形成具有随机性，为了避免各线之间的干涉，本文提出了一种钥匙分配策略很好地解决了这一问题。

Since the method does not need to derive the concrete form of the transformation matrix, making it simple and easy to calculate the results to the eigenvalue problems of the Hamilton with symmetrical form. This algebraic methods is more universal and more effective.

由于该方法不需要求出变换矩阵的具体形式，使得运用此方法求解具有对称形式的Hamilton量的本征值问题变得简单、易计算出结果，该方法更具有普遍性，是一种十分有效的代数方法。

The new method of the singular value decomposition is used to calculate the eigenvalue of embedding space matrix , and the corresponding algorithm to calculate eigenvectors and to obtain the basis of embedding vector space is put up in this paper.

应用本征值分解技术对动力系统实测数据嵌入空间矩阵的本征值进行了计算，提出了具体计算嵌入空间矩阵本征值及其本征向量的改进计算方法，以及嵌入空间矩阵基的改进选取方法。

A new method based on subtractive image segmentation for weighted image fusion is put forward from another viewpoint. It adopts the improved particle swarm optimization to calculating the segmentation threshold of subtractive image and the corresponding weighted fusion coefficient in space domain or in wavelet decomposition domain. Moreover, it doesnt need to construct the eigenspace and quantitative eigenvalue for the weighted fusion coefficients.

本文从另外一个角度提出了一种基于差值图像分割的加权图像融合方法，它采用改进的粒子群优化方法在空间域或小波分解域求解差值图像的分割阈值和对应的加权融合系数，而不需要为计算融合系数而构造特征空间和定量特征关系。

Sodium citrate; calcium carbonate; calcium hydroxide; potassium bicorbonate; magnesium carbonate; ferrous sulphate; Zinc sulphate; copper sulphate; manganese sulphate; potassium iodide; sodium selenite.

柠檬酸钠；碳酸钙；氢氧化钙；碳酸氢钾；碳酸镁；硫酸亚铁；硫酸锌；硫酸铜；硫酸锰；碘化钾；亚硒酸钠。

All this to say that I'm glad filmmaking hasn't become completely ironic. I can enjoy an ironic film as much as the next person, but they usually involve a message of some sort. One that's delivered in a smirkingly clever way that requires little in the way of talent.

所有这些都是说，我很高兴电影制作没有变成完全讽刺艺术，我可以和下一个人一样享受讽刺电影的乐趣，虽然他们经常会被划归到一定级别，技术方面不需要很高的才能。