查询词典 iterative method for eigenvalue problems

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。

By using the method of the gauge transformation,this paper obtains the gauge transformation of Eigenvalue problems of energy dependent potentials and the Backlund transformation.

用规范变换的方法，导出了位势依赖于能量的特征值问题的规范变换及相应的贝克隆变换。

We parallelize traditional matrix multiplication, Gauss Elimination and Jacobi Method of Real Symmetric Matrix Eigenvalue Problems.

本文充分研究了CUDA编程架构，详细介绍了CUDA的起源发展，特色技术以及应用领域。

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。

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。

It was just a normal day of school

那只是上学的普通一天

Which is a very good reference in this issue.

这是一个在这个问题上很好的参考。