迭代法

At the beginning of this paper, we briefly introduced the fundamental knowledge of the Newton iterative methods , and the local convergence theorem which extended the classical Newton method, because of the local convergence, the theorem had its certain restrict. Large-scale convergence theorem was proved under the condition that matrix M is irreducible diagonally dominant by Newton's method with line search.At the last part of this paper, we present the method for solving linear complementarity problems arising from journal bearings.

本文首先介绍了Newton型迭代法的基础知识，然后着重介绍了B-可微方程的Newton法，给出B-可微法的局部收敛结论，推广了古典的Newton法，但由于收敛的局部性，该算法仍有一定的不足之处；文章在证明大范围收敛定理时，假设M是不可约对角优势矩阵，采用一维Newton寻查的方法，保证算法的收敛性。

The effective heat-transfer temperature difference of every effect of multi-effect evaporation subsystem and the preheat temperature rise Δt_(p,j of every level of multi-level preheat subsystem of the design model were distributed by equal heating area, equal heat-transfer temperature difference, and free proration methods.

设计型模型对多效蒸发子系统各效有效传热温差Δt_i的分配和多级预热子系统各级预热温升Δt_的分配分别采用等面积法、等温差法、自由配比法等进行分配并采用矩阵法结合迭代法进行设计模拟计算，其中自由配比法巧妙地将具有复杂约束条件的决策变量Δt_i和Δt_转化为取值0～1的中间决策变量τ_i、τ_，为Δt_i和Δt_的自由搜索进而为优化设计提供了一个简便的方法；在常规设计模拟计算的基础上，建立了复杂多效蒸发系统优化设计模型，该模型以系统年总费用最小为优化目标，以生蒸汽温度T_0、冷凝器中二次蒸汽温度T_K、蒸发温差配比系数τ_i和预热温升配比系数τ_为决策变量，采用遗传算法结合矩阵法求解。

Richardson iterative method is adopted to restore the image degraded by thick pinhole. The stopping rule of the iteration is determined by the simulation results.

针对厚针孔成像过程的空间移变性，采用Richardson迭代法进行图像复原处理，取得了满意的复原效果，并提出迭代次数的确定方法。

The Newton-Raphson iteration technique is employed to solve the displacement nonlinear equations of the structure.

在迭代过程中，为了提高计算效率可采用简单迭代法由节点位移求解单元应力场。

In SMFSIA/CAG, to increase computational efficiency in solving the matrix equation, both the speed of the iterative convergence and the matrix-vector multiplication are picked up based on iterative theory. The extended formula of the high order Taylor's series about the horizontal distance is derived. The relationship between the Taylor's series or the neighborhood distance and the efficiency of the arithmetic are analyzed.

在SMFSIA/CAG中，基于迭代法的原理，通过加快迭代收敛速度和加速矩阵向量积两个方面对该算法进行了改进，推导了关于平面展开的高阶泰勒级数展开公式，并对近场相关距离和泰勒级数展开阶数对算法效率的影响进行了分析。

The cyclic tridiagonal matrix method is adopted to solve the discretization equations. The circumferential cyclic boundary condition is implemented using the mutual replacement method.

同时，对圆周角方向的周期性用反复迭代方式来实现的方法提出了一种实施边界条件处理的方式，并比较了采用CTDMA方法与采用反复迭代法的收敛速度。

By establishing a new comparison principle,and using method of L-quasi-upper and lower solutions and mixed monotone iterative technique,the results of existence and uniqueness of solutions to Cauchy problem s of first order nonlinear integrodifferential equations in Banach spaces are obtained.

通过建立一个新的比较原理，利用L-拟上下解方法和混合单调迭代法，研究了Banach空间中一阶非线性积分微分方程初值问题解的存在唯一性，并给出了近似解的迭代序列和误差估计式。

3D-CTM (Coupled Thermo-Mechanical Forming Simulation) software for precision forging process of aero-engine blade was developed. The key technologies of 3D coupled rigid-viscoplastic thermo-mechanical FEM simulation of blade forging process were studied systematically. By using the remeshing method of contracting from the boundary to the inner, new mesh system from old distorted mesh system can be obtained. A method of modifying the position of nodes touching on the die according to its original normal was proposed to avoid "dead lock" problem due to uncontinuity of normal of scatted die meshes. The pseudo-static iterative algorithm was used to simplify the coupled thermo-mechanical computation. In particular, formulations to determine relaxation factor β was established for rigid viscoplastic FEM adopting penalty function method, and an improved cubic factor rapid algorithm derived from these formulations was proposed by combining with the advantage of advance and retreat search method.

采用基于边界构形的内缩法，实现了三维畸变网格的重新划分；提出了初矢修正法对触模节点的位置进行修正，解决了由于离散的模具网格的法矢不连续造成的&死锁&问题；采用准静态迭代法简化了速度场和温度场耦合计算过程；特别是针对减速因子β的选取，建立了适用于三维复杂成形过程刚粘塑性罚函数法有限元三次因子法的计算公式，并结合进退搜索法提出了改进的三次因子快速算法，提高了模拟计算效率和稳定性，在此基础之上，开发了面向叶片精锻过程的三维刚粘塑性热力耦合有限元模拟分析系统(3D-CTM)，系统的可靠性得到了圆柱体镦粗的验证。

In this study we have constructed the system using the methods including systemic analysis, brain storm and specialist consulting, etc on the basis of mastering the relative theories and methods and realizing the condition of key subject construction in military clinical medical colleges in PLA by reviewing the relative articles and archives and performing field surveys. Then we have applied the system to the evaluation of the construction of the fifteen key subjects in Changhai hospital, the First Military Clinical Medical College of the Second Military Medical University to test the properties of the system. We have employed several methods such as the Sum-Weighted and Rank-Sum Ratio to analyze the data and draw the conclusion of the evaluation.

本研究通过查阅文献资料，进行实地调研，在掌握重点学科建设及其评价的相关理论和研究方法，了解目前我军军队临床医学院重点学科建设基本情况的基础上，以现代管理系统理论为指导，综合运用系统分析法、头脑风暴法、专家咨询法、赋值统计迭代法等方法构建了军队临床医学院重点学科建设评价指标体系；并以该指标体系对第二军医大学附属第一临床医学院长海医院15个重点学科的建设情况进行实测，运用加权求和法、秩和比法等不同方法进行综合评价，分析评价结果，构建评判模型。

The mathematical model of complex countercurrent multi-effect evaporation with condensed water flash is established, which aims at minimum annual cost (including cost of fresh vapor, vacuum pump power, evaporator, maintenance and depreciation).Based on such decisive variables as the pressure of fresh vapor, the pressure of condenser and heat-transfer mean temperature difference of vari-effect,the model is solved by the complex method,Lagrangian multiplier method, iteration method and matrix method.The practical example indicates that the influence of the pressure of fresh vapor, the pressure of condenser and flash of condensed water on the optimum design results is notable.

建立了带有冷凝水闪蒸的复杂逆流多效蒸发系统优化设计的数学模型，该模型以整个蒸发系统的年总费用(包括加热蒸汽年费用、真空泵年动力费用以及蒸发器和辅助设备的年折旧维修费用等)最小为优化目标，以生蒸汽压力、冷凝器真空度及各效有效传热温度差为决策变量，提出一种新算法———复合形法结合Lagrangian乘子法、迭代法和矩阵法求解模型。

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。