迭

According to the principle of the diameter of a circle corresponding to the right angle and the principle of short side for little angle in right triangle, projecting the initially-chosen point to the hyper-planes of the linear equation group in which every linear equation can be regarded as a hyper-plane and the projection points can be obtained. The initially-chosen point, and one arbitrary projection point, and the solution point are all on the surface of the relative hyper-geometry ball, therein-to, there is a projection point which is nearest to the solution point and it can be regarded as the next iterative initially-chosen point, so the solution problem of the linear equation group can be changed as an iterative problem of approaching the solution on the surface of a hyper-geometry ball.

根据直径对应的圆周角足直角以及直角三角形中短边对小角的原理进一步知道，当将初始点向线性方程组中各个方程所代表的超平面上投影得到投影点时，初始点和其任何一个投影点及方程组的解点都将位于一个相应的超球面上，其中必定存在一个投影点离问题解点的距离最短，即把该点作为下一次迭代的初始点，从而可将线性方程组求解的问题变成球面上逼近解点的迭代问题。

The reliability theory is combined with the fuzzy optimization technique, the theories and methods on the symmetrical fuzzy reliability optimization design, the asymmetric fuzzy reliability optimization design and the multi-objective fuzzy reliability optimization design are presented respectively, and then the correspondence direct model solutions, the iterative solutions, the corrected algorithm for iteration method, the level cuts solutions and the searching solutions with limited boundary for the asymmetric fuzzy reliability design are presented respectively.

将可靠性理论与模糊优化技术有机地结合起来，提出了结构对称模糊可靠性优化设计、非对称模糊可靠性优化设计和多目标模糊可靠性优化设计理论与方法，并分别给出了模型的直接解法、迭代解法、迭代求解的改进算法和非对称模糊可靠性优化设计模型的水平截集法和限界搜索法。

Including the main-element elimination method, the direct LU decomposition, Jacobi iteration, high Sisaideer iteration.

包括了列主元消元法、直接LU分解法、雅克比迭代、高斯赛德尔迭代法。

The first step of IGA was to discretize time interval and control region to make the continuous dynamic optimization problem a discrete problem.

针对化工动态优化的数值求解问题，提出将迭代思想与遗传操作相结合，构建迭代遗传算法。

The rolling effects of horizontal and edger rolls were both taken into account during load distribution, and iterative computations were done alternately along the width and thickness of work piece by virtue of the equal load function to optimize the rolling schedule step by step.

分配时兼顾水平辊和立辊轧制的影响，在宽度和厚度两个方向进行等负荷函数的交替迭代计算，逐步优化规程，并在外层迭代中设置了机组轧制负荷超限情况下的道次数自动修正。

This paper is devoted to solving linear saddle point problems, Specifically, We consider nonsymmetric systems, written as usual in block form, where the upper left block is an invertible linear operator with positive definite symmetric part. Such saddle point problems arise, for example, in certain finite element and finite difference discretizations of NavierStokes equations, Oseen equations, and mixed finite element discretization of second order convection-diffusion problems.

中文题名求解鞍点问题的迭代方法副题名外文题名论文作者冯丽红导师曹志浩教授学科专业计算数学研究领域\研究方向学位级别博士学位授予单位复旦大学学位授予日期2002 论文页码总数87页关键词鞍点问题迭代方法网格离散线性方程组馆藏号BSLW /2003 /O241 /15 论文针对鞍点问题的求解分析了一些典型的快速算法。

When a function member returning an enumerable interface type is implemented using an iterator block, invoking the function member does not immediately execute the code in the iterator block.

当一个返回一个可枚举接口类型的函数成员使用了迭代器块时，对该函数成员的调用不会立即执行迭代器块中的代码，而是建立并返回一个可枚举对象。

The enumerable object's GetEnumerator method returns an enumerator object that encapsulates the code specified in the iterator block, and execution of the code in the iterator block occurs when the enumerator object's MoveNext method is invoked.

该枚举器对象封装了迭代器块中指定的代码，当调用这个枚举器对象的MoveNext方法时，会执行迭代器块中的代码。

This article introduced Newton iteration method's related concept, Newton iteration method's correlation theorem, as well as when solves the misalignment equation root the theory basis, the astringent analysis, the starting value selection rule and so on.

本文介绍了牛顿迭代法的相关概念，牛顿迭代法的相关定理，以及在求解非线性方程根时的理论依据，收敛性分析，初始值的选取规则等。

In Chapter 5, a scheme of the equilibrium iteration with a constant stiffness matrix is constructed by means of Steffensen's acceleration in the fixed-point iteration.

在第五章，我们利用不动点迭代的Steffensen加速方法构造了一个基于常刚度的平衡迭代格式。

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。