迭代法

In chapter 2, we sets up the convergence theory of the alternating method for solving Hermitian positive definite systems of linear equations, and establishes the corresponding comparison theorem on its asymptotic convergence rate.

第二章首先介绍当系数矩阵是Hermitian正定矩阵时经典交替迭代法的收敛理论和相应的比较理论，同时我们给出了当分裂不同时对迭代渐进收敛率的影响。

Further more, transmission systems with branches of uniform and nonuniform transmission lines can be studied with this method conveniently. Two approaches for solving the ABCD matrices of nonuniform lines are given, one is the method of equivalent cascaded network chain, another is the one-step method.

波形张驰迭代法最近几年才被用来分析多导体传输线的时域响应，在第五章作者用此方法首次分析了具有频变参数的传输线，并将波形的概念进一步推广，给出了用波形张驰迭代技术求解非均匀传输线ABCD矩阵的方法。

The integral equation is convergent for any conductivity distribution and frequency if iterative solvers are used.

提出一种应用迭代法求解新积分方程的迭代初值优化选择方法，并通过具体算例对比说明该方法可使频率域电磁测深三维模拟的计算效率得到有效提高。

It can be found that the IPCA, as a non-iterative method, can obtain one principal component by only one calculating process. Therefore the IPCA is not only fast in calculation, but can avoid the cumulative error suffered by iterative methods.

使用模拟和实验HPLC-DAD数据对IPCA进行了验证，结果表明IPCA是一种非迭代方法，只需要完成一次计算过程即可得到一个主成分，因此IPCA不仅能够显著提高运算速度，而且可以避免迭代法中的误差积累问题。

A mixed iterative method for 3-D frictional contact problems is proposed based on a combination of the iterative method and the fixed point method.

利用迭代法与不动点算法相结合给出了三维摩擦接触问题的一种混合迭代算法，克服了三维问题在接触面上因有无穷多个可能的滑动状态而无法确定带来的困难。

It Newton iteration is used in the analysis of math value,and the simplicity formula is given to resolve(including original initial value formula and advanced approximation formula),which can be characterized by fast speed and easy remembering.

采用数值分析中的牛顿迭代法求反渐开线函数的根，并给出了符合精度要求的解算反渐开线函数的简单公式(包括原始初值公式和近似值精化公式)，具有迭代收敛速度快、简单易记的优点，它们适用于[0，π/2]的全区段，免除了分段计算的烦恼，并运用VB编写计算机程序，从而实现反渐开线函数快速求根的目的。

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

The algorithm is based on the water-filling approach and adopts a new iterative method to improve its stability.

提出一种以注水门限为迭代参数的MA算法，并引入有记忆步长迭代法，提高算法的稳定性。

And iteration, iteration and Jacobi iteration is compared part too.

同时将 迭代法、超松弛迭代法与之比较。

For problem II, many references have studied it and obtained its common solutions, symmetric solutions, skew-symmetric solutions and its optimal approximation constrained solution, but the representation of its solutions are complicated.

本文首次采用迭代法系统的研究了它求一般解、对称解、反求解约束矩阵方程及其最佳逼近的迭代法的研究对称解、中心对称解、中心反对称解、自反矩阵解、反自反矩阵解、双对称解、对称次反对称解及其最佳逼近问题，并首次成功地解决了它求中心对称解、中心反对称解、自反矩阵解、反自反矩阵解、双对称解与对称次反对称解及其最佳逼近的问题，拓广和改进了已有的研究成果。

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。