查询词典 iterative method for eigenvalue problems

Therefore, in order to offer reference to Readers, based on idempotent matrix, involutory matrix, nilpotent matrix, diagonal matrix, the main character of special matrix are proved in this paper after the Defined and algorithm of eigenvalue of matrix .for example , some problems of the eigenvalues of matrix are solved in a special method based on the eigenvalues of matrix .

为此， 本文除了介绍矩阵特征值的定义和算法外，还围绕幂等矩阵、幂零矩阵、对角矩阵、等特殊矩阵给出了其主要性质并加以证明，同时还介绍了一些特殊矩阵的特征值的算法，例如：本文利用矩阵的特征值，对与矩阵的特征值相关的一些典型问题给出了较好的处理方法。

An optimization method is proposed to solve steady-state optimization problems by linear approximation of the object function and the Linear Matrix Inequalities Problem and Eigenvalue Problem of Linear Matrix Inequalities theory.

提出了将稳态优化问题的目标函数进行线性逼近及用可行性问题求解算法和特征值问题求解算法进行求解的优化方法。

An optimization method is proposed to solved steady-state optimization problems by quadratic approximation of the object function and the Linear Matrix Inequalities Problem and Eigenvalue Problem of Linear Matrix Inequalities theory.

提出了将稳态优化问题的目标函数进行二次逼近及用可行性问题求解算法和特征值问题求解算法进行求解的优化方法。

The method does not need to derive the concrete form of the transformation matrix, which make it simple and easy to calculate the results to the eigenvalue problems of the Hamiltonian with symmetrical form.

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Hamiltonian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。

With a representation of the rotation group induced by the anti-commutative, self-inverse matrices the transformations named by Foldy-Wouthuysen, Cini-Taschek,Chakrabarti and the others are treated from a unified viewpoint. A new transforma-tion is found. Some applications of this method in the eigenvalue problems are demon-strated.

我们找出了由反易自逆矩阵荷载的转动群表示，统一地推广处理了Foldy-Wouthuysen，Cini-Tauschek，Chakrabarti等提出的各种变换；建立了一个几何图像，借助于它可以很容易地找到所要求的交换；举例说明了这方法在本征值问题中的应用。

Inverse problems ; nonlinear ill-posed operator equations ; Newton type method ; implicit iterative method ; iteration stopping rule

反问题；非线性不适定算子方程； Newton型方法；隐式迭代法；迭代终止准则

By the use of CAD method to carry out the research on key problems of three ring typed less teeth difference reducer-the inner and outer gears have to be designed by adopting modified transmission was advanced. And to study a method for carrying out numerical calculation by adopting the powerful functioned mathematical software MATHCAD in the solution of coincidence extent on less teeth differenced internal messing and in iterative computation for equation set of interference coefficient of tooth profile overlapping.

提出用CAD法研究三环式少齿差减速器设计的关键问题―内外齿轮必须采用变位传动的设计，并研究在求解少齿差内啮合的重合度和齿廓重叠干涉系数方程组的迭代计算中，选用功能强大的数学软件MATHCAD进行数值计算的方法。

This dissertation proposes group reasoning and group AHP-based GDSS structure and its decision steps to solve the problems existing in research of theory and application of GDSS. Besides, the dissertation also studies the method of group reasoning on rough-set and qualitative reasoning method basis in GDSS. It also studies on constructing method of hierarchy structure of group AHP in GDSS and combinative method of judgment matrixes. Moreover, it studies on method regarding construction of judgment matrixes on rough set based and optimization theory of convex combination parameters of judgment matrixes as well. Finally, it develops an AHP based GDSS to demonstrate the efficiency of these methods.(1) This dissertation also summarizes the developing trend of GDSS and analyses problems as regards the research of GDSS.

本论文针对GDSS理论研究及应用中存在的若干问题，提出了基于群体推理及群体层次分析法的GDSS结构，并给出了基于该结构的GDSS的决策程序；研究了GDSS环境下的基于粗糙集理论及定性推理技术的群体推理方法，并举例说明了方法的有效性；研究了GDSS环境下群体AHP层次结构的建立、判断矩阵集结的理论与方法；研究了判断矩阵凸组合系数的优化原理；探讨了基于Rough Set的判断矩阵构造方法；开发了一个基于AHP的GDSS原型系统，旨在验证本文关于GDSS环境下群体AHP有关方法的有效性。

Additionally, a great deal of contradictions and problems in current Chinas socio-economic development, such as, the problems caused by duality structures in urban and rural areas, three main problems in rural area (problems in agriculture, in rural areas and with farmers), problems in industrial structure adjustment, urban planning and infrastructure construction, rational utilization of land resource and ecological environmental protection etc, unexceptionally have close connections to relative lag of urbanization.

更重要的是，当前中国社会经济发展中的诸多矛盾和问题如城乡二元结构与"三农"问题、产业结构调整问题、城市规划与基础设施建设问题、土地资源合理利用和生态环境保护问题等等，无例外的与我国城镇化发展相对滞后有密切的联系。

The ways to deal with other problems in the numerical simulations of injection-molding filling process, such as multicontinued field problems, multigate problems and weldline formation problems, are presented in this thesis, a simplified algorithm is also developed to solve axisymmetrical problems.

一种新的简化的温度场模型用来计算充模过程中熔体前缘附近的温度场，区域内温度场计算时，引入了温度边界层模型，显著简化了计算过程。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。