迭

Under some hypo theses, the upper and lower solutions can be ordered.

通过单调迭代等方法得到问题解的存在性和唯一性，并通过实例予以说明。

Chapter 3 is arranged in the following sequence to acquire the refractive index of the Iceland crystal for different values of the wavelength and the temperature.

在可见光区将四组不同的波长和对应的折射率代入常数表达式中，然后通过重复的迭代得到最佳的常数值；使用线形插值的办法得到了不同波长的折射率温度系数，从而可得出不同温度的 S el line i e r方程常数值，这样可以很容易求出各个温度下各波长所对应的折射率值。

On the base of analysis,two methods are given in this paper. One is the model simplification technology which reduces identity matrix K dimension considerably, and the other is the improved iteration method which reduces the amount of calculating work from n' to n.

通过研究和分析，提出两种提高系统模型计算速度的方法，一是采取模型简化技术，从而大大降低了系统特性矩阵的维数；二是改进常规的迭代计算方法，它避免了"0"元素的存储和计算，从而将计算工作量从二次方级降至一次方级。

The resulting linear system, the coefficient matrix of which is, typically, a 2 x 2 block symmetric or non-symmetric and singular or non-singular indefinite matrix, is of high order and ill conditioned. In order to solve such system we have to use iterative methods with fast convergence speed.

所得的离散方程组（其系数矩阵典型地是 2 x 2 块对称或非对称，奇异或非奇异的不定矩阵）是高阶和病态的，为了求解这样的方程组我们必需使用快速收敛的迭代方法。

This paper has improved some conventional algorithms and presents the weighting iterative improved algorithm and PSD-PCG algorithm, basing on the analysis of ill-conditioned linear system of equations characteristic and origin.

本文在分析了病态线性方程组的特点和成因的基础上，对一些传统的算法进行了改进，给出了加权迭代改善法和PSD—PCG法。

When I immerse myself in the world of ceramics, I was fascinated by its immenseness, mystery and dazzling beauty.

当我置身其中，著迷著它的浩瀚、炫丽、多变、神秘时，只能融入精魂与之共舞，任由它迭宕起伏，锻烧著你一颗挑战的心。

The experimental results show that the watermark can not be destroyed easily and the algorithm is robust and imperceptible.

实验结果表明该算法水印不易破坏，对数字音频信号的低通滤波、迭加噪声等攻击均具有很好的隐蔽性和稳健性。

In chapter two,We present a globally nonlinear implicit difference scheme,i.e., a nonlinear iterative algorithma has to be used to solve the system of the nonlinear algebraic equation at each discrete time step.

第二章构造了一个非线性隐差分格式，在每一个时间层上需要迭代求解非线性方程组，该格式可以保证离散电荷和离散能守恒。

In the two-dimensional simulation, the fully implicit difference scheme is used for the continuity equations to ensure numerical stability; Jacobian iteration is used to solve the difference equations, and only nonzero elements in the coefficient matrixes of these equations are dealt with, which reduce the requirement for memory and shorten the calculation time.

在两维模拟计算中，对连续性方程采用全隐式差分方案以保证数值稳定性；运用雅可比迭代法求解差分方程组，并且在求解过程中，只对差分方程组系数矩阵中的非零元素进行处理，因此减少了对内存的需求量，而且缩短了计算时间。

At first, for nonlinear assembly function, the implicit differentiation and multi-variables Tayler Series Expansion are used to obtain the linear relationship between input and output.

2三维偏差模型的线性化求解方法传统的蒙特卡洛仿真计算效率低，难以应用于复杂车身装配公差设计这样需求大量迭代运算的场合，本文提出一种高效率的线性化求解方法。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。