本文给出非线性不等式约束最优化问题的一个初始点可任取的算法。
This paper presents an algorithm for nonlinear inequality constrained optimization problems which begins at any starting point.
对一般非线性等式约束最优化问题提出了一种信赖域算法，其子问题较易求解。
In this paper, a trust region algorithm for general nonlinear equality constrained optimization problems, is presented. The solution of their subproblems is easy.
第3章给出了广义模式搜索算法对线性等式约束最优化问题的一个新解法，并证明了这种算法的全局收敛性。
Chapter 3 constructs a new generalized pattern search method for linear equality constrained optimization problems and gives the proofs of the global convergence.
对非线性不等式约束最优化问题进行了讨论，借助广义投影建立求解问题的一个含系列自由参数的统一算法模型。
Optimization problem with nonlinear inequality constraints is discussed. With the help of the generalized projection, a unified algorithm model with a series of free parameters is presented.
在部分生成锥内部凸-锥-凸映射下，得到了既有等式约束又有不等式约束的向量优化问题弱有效解的最优性必要条件。
Under the conditions of Partial ic-convex like Maps, optimality necessary conditions of weak efficient solutions for vector optimization problems with equality and inequality constraints are obtained.
最后，利用择一性定理，获得了含不等式和等式约束的广义次似凸集值映射向量最优化问题的最优性条件。
Finally, the optimality conditions for vector optimization problems with set valued maps with equality and inequality constraints are obtained with it.
本文将非线性不等式约束下的非线性数学规划理论引入到水平井待钻井眼轨迹设计中，提出了水平井待钻井眼轨迹的最优化设计方法。
The paper introduces the nonlinear programming method under nonlinear constraints to well trajectory design while drilling and puts forward an optimization method for well trajectory design.
通过求解一个线性矩阵不等式约束的凸优化问题，提出了最优化保性能控制律的设计方法。
Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controllers.
利用此定理，得到了带广义不等式约束的向量优化问题的最优性必要条件和充分条件。
In this paper, we mainly consider the existence of the generalized weakly efficient solution for Vector Optimization Problem.
利用此定理，得到了带广义不等式约束的向量优化问题的最优性必要条件和充分条件。
In this paper, we mainly consider the existence of the generalized weakly efficient solution for Vector Optimization Problem.
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