查询词典 iterative method for eigenvalue problems

By means of the projection method,adding a small disturbing function to the objective function, the penalty method, andthe gradient method, this dissertation proposes several neural networks for solvingsaddle point problems and minimum radius of ball-coverings problems, and investi-gates the stability of the proposed networks by the LaSalle invariance principle andthe Lyapunov method, so as to design neural networks which avoid getting stuck inthe local minimum.

本文针对约束鞍点问题和球覆盖最小半径的计算问题，分别利用投影法、对目标函数加上很小"扰动函数"的逼近法、罚函数法和梯度法等建立神经网络模型进行求解，并基于LaSalle不变集原理和Lyapunov直接法等工具，对模型的动态特性进行研究，从而设计出避免陷入局部极小的优化计算神经网络模型。

This made it possible for the forward problems in inverse problems to be solved by analytical method instead of numerical method. The new equivalent source method is over ten times rapider than the volumetric integral equation method.

这一方法使得电磁场正问题的求解由一般的数值方法计算改进为用解析法求解，使缺陷的重构速度比用体积分方程法提高十倍以上。

Simultaneously, small parameter perturbation methods are employed to transform the problem of elastic wave scattering in cylindrical shell with a cutout into the iterative addition of a series of boundary value problems and to give a semi-analytical method for solving this problem.

同时，采用摄动方法，将含孔柱壳弹性波散射问题化成一系列边值问题解的迭加，给出分析求解本问题的半解析方法。

Chapter two mainly considers the periodic boundary value problems for impul-sive differential equations. Some existence results, obtained by the help of Schaeffers fixed point theorem and the method of upper and lower solutions coupled with the monotone iterative technique.

第二章讨论了两类周期边值问题，通过利用Schaeffer不动点定理，上下解方法和单调迭代方法，建立了解存在的充分条件。

Numerical analysis of iterative method for solution of problems of linear equations, including input and output interface.

详细说明：数值分析中的迭代法解线性方程组问题，含输入输出界面。

With the help of Newton formula and Vieta theorem, iterative method was used to solve problems of power sum.

借助牛顿公式和韦达定理，采用迭代的方法求解类似于自然数等幂和的问题。

Here I will mainly discuss the apply of matrix's eigenvalue and characteristic vector in some problems. Its apply is not only in the mathematics but also in other subjects include physics, chemistry, economy, management etc.

这里我们主要讨论矩阵的特征值、特征向量在某些问题中的应用，这些应用不止是体现在数学方面，同时在其他学科（包括物理、化学、经济、管理等等）中也有广泛地应用。

In this paper, the elemntary knowledge of oblique circulant matrix is described briefly and three inverse eigenvalue problems which a-re denoted by Ⅰ,Ⅱ,Ⅲ and best approximation problem which is denoted byⅣ on oblique circulant matrix are presented.

本文介绍了斜循回方阵的基本内容，提出了斜循回方阵的特征值反问题Ⅰ，Ⅱ，Ⅲ及其最佳逼近问题Ⅳ，给出了它们有解的充分必要条件及求解算法，并举出了相应的数值例子。

By using projective metric, in this paper, a new kind of condition number is defined for homogeneous polynomial eigenvalue problems.

这两种条件数都有各自的应用范围。

In this paper, the problems of correlation characterizations of complex symmetric matrices are deduced and analyzed, which include the eigenvalue, the condition number and the problem of diagonalization.

本论文分析和阐述了复对称矩阵在相关方面的性质和问题，包括特征值、条件数和对角化等问题。

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。