查询词典 iterative method for eigenvalue problems

Linear Extrapolation Method is an adjusted extrapolation method,which is proposed based on the Power Method.It utilizes the property of the second eigenvalue of the Google matrix to acheive the high rate convergence in the computing performance of Power Method.

在乘幂法证明理论基础上，提出了一种修正的外推方法称为线性外推法，并且利用Google矩阵的第二特征值的性质，使得在乘幂法的计算过程中达到快速收敛。

At the beginning of this paper, we briefly introduced the fundamental knowledge of the Newton iterative methods , and the local convergence theorem which extended the classical Newton method, because of the local convergence, the theorem had its certain restrict. Large-scale convergence theorem was proved under the condition that matrix M is irreducible diagonally dominant by Newton's method with line search.At the last part of this paper, we present the method for solving linear complementarity problems arising from journal bearings.

本文首先介绍了Newton型迭代法的基础知识，然后着重介绍了B-可微方程的Newton法，给出B-可微法的局部收敛结论，推广了古典的Newton法，但由于收敛的局部性，该算法仍有一定的不足之处；文章在证明大范围收敛定理时，假设M是不可约对角优势矩阵，采用一维Newton寻查的方法，保证算法的收敛性。

In Chapter 4, a symmetric triangular partitioned secant method for solving large scale sparse unconstrained optimization problems is constructed, which is a combination of a secant method and a finite difference method, and depends on a consistent partition of the columns of the lower triangular part of the Hessian matrix; it reduces the number of gradient evaluations required by Powell and Toints algorithm (the indirect lower triangular substitution algorithm) by one at every iterative step.

此算法是基于稀疏Hesse阵的下三角部分的列的相容分划的基础上建立起来的，把割线法和有限差分法有机的结合在了一起，在每次迭代中，把由Powell和Toint的算法所需要的梯度赋值次数减少了一。

In this paper, we mainly apply theory of ordering in nonlinear functional analysis, cone theory, topological degree theory, cone expansion and compression theory, and the method of upper and lower solutions, partial ordering method, iterative method to study some nonlinear differential equations BVP and fixed points problems of mixed monotone operators, and obtain some new results.

中文摘要：在本文中，我们主要应用非线性泛函分析中的半序理论，锥理论，Leray-Schduder拓扑度理论，锥拉伸与锥压缩不动点理论，以及上下解方法，半序方法，迭代方法对一些非线性微分方程边值问题和混合单调算子的不动点问题进行讨论，并得到了一些新成果。

In order to investigate and develop numerical calculation method for Schr odinger equation, we apply the finite difference method to eigenvalue problems in quantum mechanics.

为研究和发展薛定谔方程的数值计算方法，本文将有限差分法应用到量子力学求解薛定谔方程本征值问题。

In order to investigate the performance of Iterative Detection in Golden Code system and reduce the complexity of the Iterative Detection algorithm, the Gaussian Approximation and Minimum Mean Square Error methods are proposed to obtain the soft information of each bit.

为研究级联信道编码的Golden码的迭代检测性能及降低迭代检测算法的复杂度，提出采用高斯近似和最小均方误差算法来计算迭代检测过程中所需的比特软信息。

Actively promote iterative and incremental development. Agile Modeling's practices of Model in Small Increments, Iterate to Another Artifact and Create Models in Parallel can be tough ones for experienced modelers to adopt and chances are that your experienced modelers are already chaffing at the UP's concepts of iterations, let alone an even greater emphasis on iterative and incremental modeling.

积极促进迭代增量开发敏捷建模有个实践，以小增量迭代的方式建模到另一个工件以及积极促进迭代增量开发并行创建模型，它们被有经验的建模人员坚持采用，并成为有经验的建模人员嘲讽 UP 迭代概念的机会，而并不在意那甚至是一个更加强调迭代和增量建模过程。

In the bit-interleaved coded modulation systems with iterative decoding, a good labeling is one of the key factors that dictate the system performance. In this thesis, Extrinsic Information Transfer chart, a popular tool to analyze the convergence behavior of an iterative decoding system, is employed for the labeling design.

外来资讯转换图是一个在迭代解码系统中很好的分析解码收敛行为的工具，在位元交错调变码的解码系统中，位元对应的设计对於提升系统效能是非常重要的，藉由不同的平均位元差异数来改变讯号侦测器转换曲线的斜率，因而从中选出一个最适合外部码的位元对应方式。

In Chapter 1, we summarize several iterative methods and their convergence condition, the techniques in proving the iterative methodss convergence theorem.

现在，迭代法的研究日益成为解决各种非线性问题的核心，迭代法优劣的选择直接影响到各种非线性问题的结果的良好，所以迭代法的研究有着十分重要的科学价值和实际意义。

With the cone theory and monotone iterative technique,the existence and uniqueness of the solution for the ordering symmetric contraction mixed monotone operator equations are studied,and the error estimations for the convergent iterative sequence are also given.

摘 要 利用锥理论和单调迭代技巧，研究序对称压缩的混合单调算子方程解的存在唯一性，并给出迭代序列收敛于解的误差估计。

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。