求解

By using generalized projection matrix, conditions are given on the scalars in the three term-memory gradient direction to ensure that the three term-memory gradient projection direction is a descent direction. A new three term-memory gradient projection method for nonlinear programming with nonlinear equality and in-equality constraints is presented.

利用广义投影矩阵，对求解无约束规划的三项记忆梯度算法中的参数给一条件，确定它们的取值范围，以保证得到目标函数的三项记忆梯度广义投影下降方向，建立了求解非线性等式和不等式约束优化问题的三项记忆梯度广义投影算法，并证明了算法的收敛性。

A problem of cable force optimization of cable-stayed bridge is equated as a nonlinear implicit optimization model. In the mathematical model, the object function is minimizing summation of bending strain energy and axial strain energy, and the constrain conditions are nonlinear and related to reasonable finished dead state. The optimization model is solved by projection gradient method, fully considering all kinds geometric nonlinearity.

把超千米级斜拉桥的索力优化问题归结为非线性隐式优化的数学模型，以系统最小弯压应变能为目标，根据合理成桥状态指定各种非线性约束条件，利用投影梯度法进行优化问题的求解，求解过程中充分考虑了各种几何非线性的影响。

Furthermore, we solve the user equilibrium problem by gradient projection method to obtain some additional path-based information. Since true OD trip demands are unknown, we conduct OD demand estimation and OD demand covering rate verification by the least square estimator.

在求解使用者均衡之交通量指派问题上，透过梯度投影法(Gradient projection， GP)求解，并获得以路径为基础的相关资讯；在流量倒推旅次起迄量的课题上，由於真实OD量未知，故使用基本的最小平方估计量，进行旅次起迄需求涵盖量的推估与检验。

In order to solve difficulties of calculation of equation groups, the coordinate transmigration method was adopted. The store or purvey quantity of water decision-making from malti-reservoir can be translated simultaneously to single reservoir step by step.

为解决方程组求解带来的困难，采用坐标轮换法，将多库同时供、蓄水决策转化为单库逐次轮换决策，并结合水库常规调度图规则，对判别式法进行修正，使求解结果更为合理。

The solvability of quadratic matrix inequalities of singular H∞ control problems with infinite zeros is studied in this paper. It is proved that the quadratic matrix inequality can be solved directly via the generalized eigenvalue problems. The previous method of solving the quadratic matrix inequality involving complicated decompositions and transformations of the systems is avoided.

摘要研究具有无穷远零点的奇异H∞控制问题的二次矩阵不等式的可解性，证明了通过求解广义特征值问题，可以直接求得二次矩阵不等式的解，从而简化了原需通过复杂的系统分解和变换来求解二次矩阵不等式的方法。

The basic idea of an methods is to approximate the constrained problem by a sequence of quadratic programming problems.

SQP算法的基本思想是通过求解一系列二次规划子问题来求解原最优化问题。

In this paper,a forward-secure threshold signature scheme based on the Asmuth－Bloom threshold scheme is proposed.Its security is based on the difficulty of solving discrete logarithm in finite field and quadratic residue on some special conditions.

基于Asmuth－Bloom门限方案，设计了一种新的前向安全的门限签名方案，其安全性基于有限域上求解离散对数的困难性和在特定条件下求解二次剩余问题的困难性。

Zhang et al. proposed the quotient space theory of problem solving with the bionics viewpoint to analyze and understand the human behavior.

张铃教授与其合作者从仿生学的观点提出的基于商空间的问题求解理论，正是从人类求解问题的一种思维方法来分析和讨论问题。

Axial temperature and pressure drop are calculated by finite difference. Radial temperature field is calculated by finite element.

采用有限差分方法求解了轴向温降及压降，采用有限元方法求解了径向温度场。

Dynamic programming algorithm was introduced to solve the problem. Based on discussion of calculation complexity and effectiveness, the exact DP Algorithm was successfully used in operative schedule of the collecting bucket in multi-car-single-layer mode, which has few service nodes. For problems with large number of service nodes, restricted DP algorithm was constructed to avoid rapid expand in calculation and memory demands during programming process. The restricted DP algorithm, successfully used in single-car-multilayer and compound service modes, gets balance between near optimal programming results and reasonable programming time, so as to meet the real time schedule demands.

文中首先在TSP-STW问题的动态规划模型基础上，论述了计算机精确动态规划解法的求解策略和方法以及算法的有效性和复杂性，并将其成功应用于服务节点数相对较少的多小车单层配药服务模式中集中料斗的集药动作规划；在进行服务节点数较多的单小车多层服务模式中取药小车的运动规划时，为限制计算量和存储空间需求的迅速膨胀，引入以合理限制动态规划算法在每一阶段保留的最大状态元素数为核心的有限动态规划法，以便在求解结果的优化程度和规划时间上取得均衡，达到实时调度的要求。

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。