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There arise many techniques in the study of existence of solution for operator equations,such as topological transversality method,upper and lower solutions method,monotone iterative method, and variation method,and bountiful results are obtained.

在算子方程解的存在性研究中产生了许多方法，如拓扑度方法、上下解方法、单调迭代法、变分方法等，获得了丰富的结果。

Jacobian Davis iterative method of solving equations AX = B, least squares polynomial fitting, portfolio Simpson formula for integration, with a triangular decomposition method of solving equations AX = B.

拉格朗日插值多项式拟合，牛顿插值多项式，欧拉方程解偏微分方程，使用极限微分求解导数，微分方程组的N=4龙格库塔解法，雅可比爹迭代法解方程AX=B，最小二乘多项式拟合，组合辛普生公式求解积分，用三角分解法解方程

Fundamental parameters are calculated by symmetrical and orthogonal characteristic of trigonometric function, and the iterative algorithm can calculate fundamental reactive power fast.

根据三角函数的正交性和对称性求解基波参数，采用递推算法快速计算基波无功功率。

Interpolating trigonometric polynomial parametric curves with C~2 (or G~1) continuity can be automatically generated without having to solve any system of equations or do any iterative computation. Then, the convexity of the constructed curves can be guaranteed by the appropriate value of the shape parameter.

在无需反求方程组、迭代计算和最值求解的前提下，即可产生插值给定点列的C~2或G~1连续的一族三角多项式样条曲线；进一步研究了该类曲线的保凸性，得到插值曲线保凸时形状参数的取值范围。

A theory analysis of the iterative turbo decoding process has been given in this paper.

论文主要是进行Turbo码迭代译码过程的理论研究。

In the forth chapter, the convergence problem of three Ishikawa and modified three Ishikawa iterative sequences under uniformly continuousΦ-strongly pseudo-contractive mapping and approximating pseudo-contractive mapping is

第四章主要讨论了三重迭代序列以及修改了的三重迭代序列在一致连续的Φ-强伪压缩映射、渐近伪压缩映象下的收敛问题，给出了其判别准则和结论描述。

In this paper, the problem of an iterative sequence approximation a common fixed point for nonexpansive non-self mappings is studied in real uniformly convex Banach space, then we obtain a strongly convergence theorem.

在实一致凸Banach空间中，讨论了关于非扩张非自映射序列逼近公共不动点的问题，获得了一个强收敛定理，改进和推广了现有文献的一些相应结果。

In the first part of this article, a new class of set-valued variational inclusion problem in Banach spaces was introduced and some new type of iterative algorithms for solving the problems are studied.

本文在第一部分提出了Banach空间中一类新的广义集值变分包含问题，并采用一种新的算法讨论了其解的存在性。

The quasi-Newton iterative method in optimization is used to solve the numerical solution of this variational problem.

该模型最终由最优化领域中的拟牛顿迭代法实现数值求解。

We apply this technique into theimplementation of discrete dipole approximation method, and the method of moment ofvolume integral equation. The FFT technique combined with iterative solvers reported inthe literatures is compared for the ordinary volume integral equation and weakform ones.

我们将它应用到分析介质体散射的离散偶极子近似方法及体积分方程的矩量法中，并且讨论了文献中报道的FFT技术结合迭代解法求解体积分方程几种不同实现方案的优缺点。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。