在本文中，我们讨论的是一般约束优化的问题。
In this paper, a kind of general constrained optimization problem is discussed.
采用惩罚函数法将约束优化转化为无约束优化。
Penalty function method transfer constrained condition into unconstrained condition.
在本文中，我们考虑非线性不等式约束优化问题。
In this paper, we consider the nonlinear inequality constrained optimization problems.
本文我们考虑求解凸约束优化问题的信赖域方法。
In this paper, we develop a trust region algorithm for convex constrained optimization problems.
给出了大规模界约束优化的一个子空间截断牛顿法。
A subspace truncated-Newton algorithm for large-scale bound constrained optimization is proposed.
共轭梯度法是求解无约束优化问题的一类有效方法。
The conjugate gradient method is one of the most efficient methods for solving unconstrained optimization problems.
提出一种新的求解复杂约束优化问题的免疫遗传算法。
To solve complex constrained optimization problems, we propose a new immune-genetic algorithm.
研究给出了一类新的求解无约束优化问题的下降算法。
In this paper, a class of new descent algorithm is proposed to solve unconstrained optimization problems.
第三部分，研究平衡约束优化问题的可行性和最优性条件。
Finally, we study feasibility and optimality conditions for optimization problems with equilibrium constraints.
本文我们考虑求解边界约束优化问题的一个仿射尺度算法。
In this paper, we consider an affine-scaling algorithm for the bound constrained optimization problem.
BFGS算法是解无约束优化问题的公认的最有效的算法之一。
BFGS algorithm is one of the most effective methods in solving the non-constrained optimization problems.
对于一般的无约束优化问题，信赖域方法是一种比较有效的方法。
Trust region method is a kind of efficient and robust method to solve general unconstrained optimization.
本优化属于混合约束优化，采用序列无约束极小化方法进行优化。
As a hybrid restriction optimization approach, the sequential unconstrained minimization technique was applied for optimization.
本文提出了一个解线性等式约束优化问题的新锥模型信赖域方法。
In this paper, a trust region method with new conic model for linearly constrained optimization problems is proposed.
该文将动态优化问题描述为变约束优化问题，并提出一种求解算法。
The problem above is described as a variant constraint optimization problem and a corresponding algorithm is proposed.
通过变换可将该无约束优化问题转化为求解非线性代数方程组的问题。
This unconstrained optimization problem may be transformed into nonlinear algebraic system of equations.
通过融合机会约束优化策略与序贯决策方法，提出了机会约束序贯优化策略。
By merging the chance constraint optimization strategy and the sequential optimization strategy, the chance constraint sequential optimization strategy was proposed.
罚函数法(SUMT)是处理约束优化问题时最常用、也是较为成功的一种方法。
Sequential Unconstrained Minimization Techniques (SUMT) are most common and comparatively successful method in constrained optimization.
本文利用旋转矩阵的正交性，提出了进一步改善原旋转矩阵估计的约束优化方法。
Based on the orthogonality of rotation matrix, a constrained optimization approach is proposed to estimate the rotation matrix.
基于混沌神经网络模型可以有效地解决高维、离散、非凸的非线性约束优化问题。
The Chaotic neural network model can be used to solve many multi-dimensioned, discrete, non-convex, nonlinear constrained optimization problems.
在此基础上，重点分析和讨论了多股流换热器网络的衍生约束优化方法的具体运用。
Based on it, the concrete application of the derivation constraint optimization method of multi-flow heat exchanger network is analyzed and discussed.
提出了一类解极小极大问题的熵函数法，这种方法也可用来解线性或约束优化问题。
A method for solving minimax problem is presented, which also can be used to solve linear or constrained optimization problems.
本文使用信赖域策略结合投影梯度算法来解约束优化问题，并给出算法及其收敛性。
This paper is to study the convergence properties of the gradient projection method with trust region strategy for constrained optimization.
同时为了将不等式约束优化问题转化为单目标优化问题，对惩罚函数法进行了改进。
At the mean time, the penalty function was improved by transmuting the inequality constrained optimization problem into single target optimization one.
该文提出一种无约束优化非线性共轭梯度法，证明了精确线性搜索下的全局收敛性。
The paper presents a nonlinear conjugate gradient method for unconstrained optimization problem, and proves its global convergence under exact line searches.
综合利用遗传约束优化方法，建立了考虑水淹影响因素的剩余油饱和度测井解释模型。
Thirdly, with a genetically constrained optimization method, the interpretation model that accounts for water flooding is set up for remaining oil saturation.
该文利用凸优化理论和约束优化理论为前馈神经网络构造出了一个新的优化目标函数。
The paper constructs a new optimal target function for feed forward neural networks according to convex optimization theory and constraint optimization theory.
本文提出一类求解无约束优化问题的非单调曲线搜索方法，在较弱条件下证明了其收敛性。
This paper presents a non-monotone curve search method for unconstrained optimization problems and proves its convergence under some mild conditions.
解决约束优化问题的关键是如何平衡来自目标函数最优化与满足约束条件这两方面的压力。
It is a key to how to balance the pressure from between the optimization of objective function and the satisfaction of constraints.
解决约束优化问题的关键是如何平衡来自目标函数最优化与满足约束条件这两方面的压力。
It is a key to how to balance the pressure from between the optimization of objective function and the satisfaction of constraints.
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