查询词典 iterative method for eigenvalue problems

The second improvement is to combine the fuzzy optimization model, which has its advantages with view to quantitative problems, with the decision-making method based on fuzzy congruity theory, which has its advantages with view to qualitative problems, thereby a modelthat is more applicable to the practical evaluation of the problems that have both quantitative indices and qualitative indices, or a so-called mixed model is established.

本研究提出了相应的改进方法：一是将基于模糊一致矩阵理论的决策分析方法推广到了多层次的情况，使之适用于多层次、多指标综合评价问题；二是将对定量指标问题具有优越性的模糊优选模型和对定性指标问题具有优越性的基于模糊一致矩阵理论的决策分析方法结合起来，构建了更适合应用于实际综合评价问题既有定量指标又有定性指标的模型，即所谓的混合型模型。

We also develope the corresponding spherical harmonic-generalized Laguerre polynomial mixed spectral method and apply them successfully to computation of three dimensional problems, exterior problems and nonlinear problems.

在第二章中，我们提出了一类新的广义Laguerre多项式正交逼近，其特点是适用于更多问题并能更好地拟合微分方程真解在无穷远处的性态，从而提高了计算精度。

Heuristic algorithms are needed to solve the NP-complete problems, which is the method of this paper to study the packing problems. On the basis of lots of tests and the wide research on the packing problems, a heuristic algorithm based on objective and orthogonal decomposition of space is developed to solve the non-guillotine packing problem.

沿着这一优化问题解决的路经，在研究分析现有布局启发式算法的基础上，通过大量布局实验并不断地总结，提出了基于目标和空间正交分解的布局启发式算法，解决布局过程中的非一刀切布局问题。

This paper presents a method to embed the original problem into separable parametric optimization problems and proves that the optimal solutions of the original problems are in the set of solutions of separable parametric optimization problems.

本文把原问题嵌入到可分的参数规划问题中，并证明了原问题的最优解包含在可分的参数规划问题的最优解集中。然后从最优解集中挑出原问题的最优解。

However, numerical modeling for nonlinear seismic waves is faced with problems such as steep gradients, shocks and unphysical oscillations. Accordingly, some special treatments have been presented to solve these problems. However, in our knowledge, there is no effective method to overcome these problems by far.

非线性弹性波的数值模拟存在陡峭间断面、数值振荡以及误差的指数级增长等现象而破坏数值解的稳定性、收敛性，能否消减上述现象的不利影响成为制约数值方法有效与否的重要因素。

After analyzing the cause of uncertainty in the process of oil-field development, the uncertainty problems in reservoir description, residual oil distribution, oil production prediction and plan of oil increscent measurement were taken as examples to show that uncertainty method is the key to solve those problems. Many uncertainty methods such as random modeling, fuzzy mathematics, mathematical statistics and optimization were introduced in the application of solving uncertainty problems in the oil-field development.

在分析油田开发不确定性问题来源的基础上，以油田开发过程中的油藏描述、剩余油分布、油田产量预测和增产措施宏观规划等典型不确定性问题为例，说明了解决这类问题的有效手段为采用不确定性方法，包括随机建模技术、模糊数学、数理统计和最优化等方法；并逐～介绍了这些方法在解决油田开发不确定性问题中的应用。

Furthermore, we find the way to handle several important problems which couldn't be solved previously, with the help of the method of multi-objective decision-making, the method of simplification of the model, the method of experiment designing and the calculating method of inference believability etc.

本文的主要贡献可概括为以下几个方面：第一，在因素空间中，利用所定义的带有模糊命题时序关系描述的模糊推理网，提出了工业系统知识的一种表达方式，弥补了现有模糊模型不便于描述动态系统知识的缺陷。

It is the most powerful means of eradicating schistosomiasis. Current method of elimination cercaria is mainly the chemical method which has many disadvantages such as drug resistance, drug dilutedness, environmental pollution and poisoning the other biology, etc. For these reasons, this paper poposed a new method of elimination through high-voltage pulsed electric field, discussed the feasibility of the new method, studied the elimination mechanisms of using different forms of electrodes, analyzed various factors which influences the effect of elimination and introduced the structure of high-voltage pulsed electric field system at the stage of laboratory. Moreover, this paper showed the security problems that should be considered during the research and experiment.

针对常用的化学药物杀灭法存在的易使尾蚴产生抗药性、水域宽广致使药效降低、污染环境、毒杀其它生物等弊端，本文提出了一种利用高压脉冲电场杀灭血吸虫尾蚴的新方法，探讨了这种电子杀灭方法的可行性，分别研究了采用锐形电极和平板电极的血吸虫尾蚴杀灭机理，分析了影响尾蚴杀灭效果的各种因素，介绍了实验阶段血吸虫尾蚴高压脉冲电场杀灭系统的构成，指出了系统研制和试验过程中需要充分考虑的安全性问题。

Furthermore, the first-order optimality condition and its equivalent reformulations for generalized semi-infinite max-min programming with a non-compact set are presented using the lower-Hadamard directional derivative and subdifferential.2. Chapter 3 studies the gradient-type methods for unconstrained optimization problems. Section 1 proposes a new class of three-term memory gradient methods. The global convergence property of the method is established. Furthermore, in order to improve the convergence property of the method, a new class of memory gradient projection methods is presented with the property that the whole sequence of iterates converges to a solution to the problem under the conditions such as pseudo-convexity and continuous differentiability of objective function. In section 2, two new classes of methods, called gradient-type method with perturbations and hybrid projection method with perturbations, are proposed. In these methods, non-monotone line search technique is employed, which makes them easily executed in computer.

第3章研究了无约束优化问题的梯度型算法，第1节提出了一类新的三项记忆梯度算法，讨论了算法的全局收敛性，进一步提出了一类新的具有更好收敛性质的记忆梯度投影算法，并证明了该算法在函数伪凸的情况下具有整体收敛性，第2节在非单调步长搜索下提出了带扰动项的梯度型算法及其混合投影算法，这两类算法的一个重要特征就是步长采用线搜索确定而不象许多文献中那样要求步长趋于零，这样更容易在计算机上实现，在较弱的条件下证明了这些算法的全局收敛性，数值算例表明了算法的有效性。

Based on the concept of flexible decision, this paper studies 3 problems. They are multiobjective decision making, resource allocation and one kind of cooperative game. In order to solve the flexible decision problem, the methods used in this paper include maximin method, set inclusion method, interactive method and interval analysis method.

本文提出了符合客观决策问题的柔性决策的概念，并把柔性决策的思想贯穿于三方面问题的研究，即多目标决策问题、资源分配问题和一类合作协商对策问题。

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。