迭代法

To one kind of variational inequalities, some researchers give an alternating direction method, which solve a linear variational inequality and a system of nonlinear equations in each iteration.

针对一类变分不等式，有研究者给出了一种交替方向法，在每一步迭代中分别要求解一个线性变分不等式和一个非线性方程。

The incremental equilibrium formulation and its equivalent iterative equation of the constant average acceleration Newmark method are deduced.

提出了增量形式Newmark法的等效迭代格式，该等效格式求解分缝拱坝非线性问题简便可行。

Some new method is presented in this paper: A. An Integrated parameters computation method to analysis asynchronous operation of the turbine generator is given, including the equivalence of short circuit and open circuit of field windings, deducing boundary condition of 〓 method and computing frequency parameters. B. A new memory structure for sparse complex matrix and a PCCG method based on it are introduced to save memory and computation time. C. An equivalent method of vacuum is presented, and effectively eliminate the effect of corner point and accelerate convergence of PCCG method. D. Coupling the computation of electromagnetic and temperature field is discussed and model for computing temperature field of the turbine generator rotor at asynchronous operation is built.

文中提出了以下新方法：(1)在失磁异步运行转子三维涡流场计算中提出了完整的参数计算方法，其中包括励磁绕组开、短路的等效，〓法边界条件的推导及频率参数的计算方法；(2)提出了铁心内空气域的等效方法，有效地解决了开槽引起的角点奇异问题，并提高了方程组的迭代收敛速度；(3)在〓法有限元模型中，创立了一种能节约内存、提高计算速度的压缩存储矩阵格式，并建立了基于该格式的方程组解法；(4)提出了涡流电磁场和温度场两种不同场计算的合理结合方法，建立了转子三维稳态和时变温度场的有限元计算模型。

Its improved form of three terms series including Rubin second-order approximate terms and their exact residual term is then obtained.

采用叠加法和删除保留模态法导出了自由界面精确剩余模态三项和公式，它在Rubin二级近似项上增加了精确余项，导出非线性精确综合方程，构造了具有超收敛性质的迭代求解方程。

By introducing the nonlinear complementarity problem function, the Karush-Kuhn-Tucker conditions of OPF model are transformed equivalently into a set of semismooth nonlinear algebraic equations. Then the set of semismooth equations can be solved by a semismooth L-M method based on the subdifferential. The method belongs to Newton-type method. It can ensure the positive defmitiveness of the iterative coefficient matrix by using the L-M parameter, which avoids the ill-conditioning of iterative equations. The method, requiring only the approximate solution of a linear system at each iteration, is quite applicable to the large-scale cases.

在利用非线性互补函数将OPF模型的KKT条件转化为半光滑非线性代数方程组后，采用基于次微分的半光滑L-M法求解，该方法属于牛顿法范畴，可通过对L-M参数的调整保证迭代系数矩阵的正定性，克服了系数矩阵的奇异引起的"病态"，且该方法在确定搜索方向时只需求解线性系统的加热器近似解，适用于大规模系统的求解。

Using three dimensional inharmonic element and the modified subspace iteration scheme for calculating dynamic characteristic of the shear wall, and using plane stress element and Newmark and Newton-Raphson method for calculation of seismic behaviors of shear wall under earthquake loads.

采用三维非协调实体元及改进子空间迭代方法计算剪力墙的特征对；采用平面应力单元并利用Newmark法与Newton-Raphson法相结合的方法计算剪力墙在地震荷载下的地震反应，并用FORTRAN77（F90）语言编制了相应的计算程序和前后处理程序，经计算验证程序是有效的。

In consideration of the effect of the moment on the axial rigidity of the reinforced beam,the theory and practice of main cable s configuration calculation of self-anchored suspension bridge were systemically introduced with the method of segmental catenaries.

基于分段悬链线法，介绍自锚式悬索桥主缆线形计算原理和步骤，考虑弯矩对加劲梁轴向刚度的影响，在迭代计算过程中，提出采用非线性规划方法，并与传统的影响矩阵法进行对比，计算结果表明，两者结果吻合，从而使借助大型通用优化软件对自锚式悬索桥主缆线形进行精确求解成为可能

08 Ns using deconvolution from the combination of the phase plane method and iterative convolution method.

通过相平面法和迭代卷积法相结合的解卷积处理，测得乙醛40％水溶液的真实荧光寿命为（7.25±0.08）ns，表明这是一种采用纳秒量级的仪器测量纳秒甚至亚纳秒荧光寿命的有效方法

According to contraction theory, this algorithm is based on gradient descent method, which adopts linear average as performance evaluation of value function. So the iterative process of value function becomes a convergent process to a fixed value.

该算法基于梯度下降法，根据压缩映射原理，通过采用线性平均法作为值函数估计的性能衡量标准，把值函数估计的迭代过程转化为一个收敛于不动点的过程。

In modeling of a turbo charged diesel engine,the fill empty method is used to avoid iteration calculation that appears in quasi steady method,and still requiring reasonable computation capacity.

使用容积法建立涡轮增压柴油机模型，可以避免准稳态法中流量和压力关系的迭代计算，同时对计算量的要求又在合理的范围内。

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。