求解

This thesis focuses on studying the matrix equa-tion problem systematically, and proposed an abstract algorithm of solving the matrixequation with constraints, and established a strict convergence theory. Using this algo-rithm, we can solve the sets of matrix equation satisfying some constraint conditions,such as symmetric, antisymmetric, centrosymmetric, centroskew symmetric, re?exive,antire?exive, bisymmetric, symmetric and antipersymmetric, symmetric orthogonalsymmetric, symmetric orthogonal antisymmetric, Hermite generalized Hamilton ma-trix;So we can solve the problem with this algorithm, if the set of constrain matrixcan make a subspace in matrix space, and this algorithm also can solve the optimalapproximation and least squares problem. So this abstract algorithm has universal andimportant practical value.

本篇硕士论文系统地研究了此类问题，并找到了求解约束矩阵问题的抽象算法，并建立严格的收敛性理论，利用这一算法可求解约束条件为对称矩阵、反对称矩阵、中心对称矩阵、中心反对称矩阵、自反矩阵、反自反矩阵，对称正交对称矩阵、对称正交反对称矩阵、双中心矩阵、Hermite广义Hamilton矩阵等；可以说只要约束矩阵集合在矩阵空间中构成子空间，都可以考虑用此算法求解，而且这一算法还能把矩阵方程解及其最佳逼近，最小二乘解及其最佳逼近统一处理，因此本文算法有普适性和重要的实用价值。

The object function of IGM(1,1) is unable to be gained by classical optimization approaches due to its discontinuousness and non-differentiability. We design a genetic algorithm for IGM(1,1) based on its characteristics and test the algorithm with an example. The result acquired shows that the simulation precision of IGM(1,1) model is much higher than that of GM(1,1) mode

由于IGM(1，1)目标函数非连续，不可导，用传统的优化无法求解，本文针对IGM(1，1)模型的特性设计了求解该优化模型的遗传算法并进行了算例验证，求解结果表明了IGM(1，1)模型的模拟精度远高于GM(1，1)模型。

The results show that the Yager's ranking method is better than the centroid method when the fuzzy numbers of the input factors are dissymmetric. So the solving procedure of the Yager's ranking method is more suitable for this kind of problem.

结果显示，当要素价格为非对称的模糊数值时，Yager 排序法所得到的结果会优於重心法所求解之结果；故Yager 排序法的求解程序为此类问题的较佳求解方法。

With the sin-gle objective situation,the complexity for them is discussedat first.Then a directed and an indirected search method isdesigned for two respect BDMPs with O-1 variables byusing branch and bound technique.

对于单目标型的两层决策问题，文章在分析了求解这类问题的复杂性的基础上，利用分枝定界技术，对两类特殊的含0—1变量两层决策问题提出了间接式求解方法和直接式求解方法。

In this paper, the generator model of constant transient voltage and the invariableness impedance model was used, and the saliency of generator is included; through the analysis of the characteristic of the network equation calculation in the transient stability analysis, a new node ordering algorithm is proposed. Better initial value can accelerate the convergence rate of the networking equations, reduce the number of iterations, thus to cut down the amount of calculating time.

本文首先建立了适合于暂态稳定分析的简单模型，其中发电机采用E_q恒定模型，考虑了发电机的暂态凸极效应，负荷采用恒定阻抗模型；研究了电力系统的暂态稳定分析方法，指出目前数值积分暂态稳定计算方法中存在的不足，主要是网络方程的求解速度过慢；分析了暂态稳定计算中网络方程的特点，将稀疏技术应用于网络方程的求解，提出了一种新的节点编号方法——最小度最小有源节点道路集算法，减少了网络方程的计算量；在进行交替迭代求解时，将预测算法应用于每一积分步网络方程功角和电压的初值估计当中，应用自回归算法和广义延拓算法，期望给出一个更有效的电压和功角初值方案，来加快方程的收敛过程，减少方程迭代的次数，以提高计算速度。

The deformation compatible equation based on the catenary cable element is derived in chapter 2, and corresponding program is made to solve the accurate distribution of the prestress for cable dome. During the solving, two-nodes bar elements and catenary elements are adopted for the struts and cables of structure respectively. As the cable dome is a kinematically indeterminate system, its solving process is also derived in detail and the equations, which are based on large distortion, are adopted to solve the problem.

第二章推导了基于悬链线解析解的索单元变形协调方程式，并编制了相应计算程序对索穹顶结构精确的预应力分布进行求解，结构分析时压杆采用两节点直线杆单元，索采用悬链线索单元；考虑到索穹顶结构属于动不定结构体系，文中还对动不定体系的求解过程进行了详细的推导，同时采用建立在大变形基础上的变形协调方程来求解结构体系的有限机构位移。

LINDO for solving linear programming and quadratic programming problems, LINDO LINGO addition to the full functionality, but also can be used for nonlinear programming problem some also can be used for linear and nonlinear equations solution, and so on.

LINDO用于求解线性规划和二次规划问题，LINGO除了具有LINDO的全部功能外，还可以用于求解非线性规划问题，也可以用于一些线性和非线性方程的求解，等等。

By proximate and ultimate analysis, petrographical analysis, Scanning Electronic Microscope analysis, Mercury Porosimeter analysis, TG analysis and pilot scale fluidized bed combustion experiment, the combustion characteristics and particle properties of Longyan coal with different lithotype were studied, including the surface figure and pore structure of particle, the maceral content, the ignition and burnout temperature, and the reactivity, ect.

利用热天平实验测试数据，分别采用Freeman-Carroll微分法、改良Coats-Redfern积分法和Flynn-Wall-Ozawa法等热分析手段求解4种无烟煤的燃烧动力学参数。研究不同热天平试验工况、不同处理方法和不同拟合区间等对求解结果的影响，分析用不同热分析方法求解反应动力学参数的可靠性并计算得到了几种典型福建无烟煤的燃烧反应动力学参数；再次是研究流化床燃烧中无烟煤焦的反应性随燃尽度的变化。

To assure astringency, sometechnologies have been used such as iterative penality function methods,assemblage mass matrix, reduced integration algoritlun, NeWton iteration methodwith parameters for non-linear equation set, introducing relax factors and doublesteps solution and so on, and an algorithIn for solving the nonlinear equation set offlow field by FEM has been presented.

基于有限元法建立了流场求解列式，为保证其收敛性，采用了迭代罚函数法，集中质量矩阵，缩减积分计算，带参数的Newton迭代求解，引入松驰因子及双层解法等技术，提出了一套适合流场有限元方程计算的非线性方程求解方法。

The specific contents are as follows:Firstly, the causes of energy balance method result has some errors is analyzed. Then energy balance method is improved from the following aspects: the wind power input, the conductor self-damping, the damper dissipated power and vibration solution of Stockbridge dampers-conductor coupling system. So that improved energy balance method can consider more influential factors to enhance accuracy.

本文对输电线的微风振动控制和次档距振荡进行了多方面的研究，主要包括能量平衡法的改进、防振锤-输电线耦合系统的振动求解、阻尼线的耗能计算理论、微风振动的室内模拟试验、分裂导线微风振动的精细计算理论、多分裂导线的最大次档距和阻尼间隔棒优化布置等几部分，具体如下：首先分析了微风振动传统计算方法能量平衡法计算误差较大的原因，分别从风能输入功率、输电线自阻尼功率、防振锤消耗功率、输电线-防振锤耦合体系的振动求解等方面，对能量平衡法进行了改进，使能量平衡法可以考虑更多的影响因素以提高求解精度。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。