本文提出一类新的解无约束最优化问题的信赖域方法。
In this paper, we propose a new class of trust region methods for nonlinear optimization problems.
第二部分主要研究无约束最优化问题非单调信赖域法。
At the second part, nonmonotonic trust region method for unconstrained optimization is studied.
用无约束最优化方法求解各输入信息对涌水量的影响。
Unconstrained optimization method is used to find out the effect of input information on water-make.
给出无约束最优化的一类带线搜索的非单调信赖域算法。
A nonmonotonic trust region algorithm with line search for unconstrained optimization problems is presented in this paper.
对求解无约束最优化问题，本文给出了一个区间压缩方法。
In this paper, the method of region constriction for global optimization is proposed.
约束最优化方法包括梯度法、共轭方向法、牛顿法和拟牛顿法。
Unconstrained optimization methods include gradient, conjugate direction, Newton, and quasi-Newton methods.
本文研究求解约束最优化问题的序列二次规划算法(SQP算法)。
In this paper, we are concerned with the sequence quadratic programming (SQP) methods for solving constrained optimization problems.
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.
第四章，考虑无约束最优化问题，我们提出一种新的记忆预测方法。
In Chapter 4, we study a new memory-predicted methods for unconstrained optimizations.
图像匹配是一种约束最优化问题，系统是否收敛于全局最优值一直尚未解决。
Image matching belongs to constrained optimization problems. Whether the system would converge to the global optimum is still an open problem.
可行方向法（简称为MFD）是用于求解非线性约束最优化重要的方法之一。
The method of feasible directions (MFD for short) is an important method for solving nonlin-early constrained optimization.
给出了一个解无约束最优化问题的非单调的新的BFGS校正的信赖域算法。
The paper proposes a nonmonotonic BFGS-trust-region algorithm for unconstrained optimization.
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.
该篇论文针对约束最优化的一般性问题，提出一种具有全局收敛性的内点算法。
In this paper we describe an interior algorithm with global convergence of the general optimization problem.
根据无约束最优化问题的梯度算法，提出了二次梯度算法，并证明了其收敛性。
In this paper, the gradient computational algorithm about unconditional extreme value is given.
对于非线性约束最优化，提出了一个自动调节罚因子的信赖域类型的逐次线性算法。
This paper proposes a trust-region-type succesive linear algorithm with self-adjusted penalty parameter for nonlinear constrained optimization.
基于无约束最优化问题的记忆梯度法，本文设计了测定近震时空参数的计算机程序。
In this paper, a computer program for determining near earthquake time and space parameters is designed, on the basis of memory gradient method for unconstrained optimization.
在凸规划理论中，通过KT条件，往往将约束最优化问题归结为一个混合互补问题来求解。
In convex programming theory, a constrained optimization problem, by KT conditions, is usually converted into a mixed nonlinear complementarity problem.
本文利用带上、下界的修正单纯形法，求解安全约束最优化问题之一的有功安全校正问题。
In this paper, a revised simplex algorithm with lower and upper bounds is used for solving the problem of active power security control which is one kind of the security constrained optimization.
针对码分多址(CDMA)系统提出了一种基于无约束最优化的近最大似然多用户检测算法。
A near maximum-likelihood (ML) multiuser detection algorithm based on unconstrained optimization approach is proposed for code-division multiple access (CDMA) systems.
介绍了简化模糊推理方法，在此基础上提出了求解模糊专家系统中约束最优化问题的一般方法。
Simplified fuzzy reasoning method is introduced and a general method to solve constrained optimization problems in fuzzy expert system is proposed.
介绍了简化模糊推理方法 ，在此基础上提出了求解模糊专家系统中约束最优化问题的一般方法 。
It is given that a super linearly convergent feasible direction method for solving optimization problems with lincar constraints.
对于一般的无约束最优化问题及其特殊情况非线性最小二乘问题而言，信赖域方法是一种有效的方法。
Trust region method is a kind of efficient methods to solve the general unconstrained optimization and its special situation, the nonlinear least squares problems.
本文把最小外接球的评定问题表述为非线性约束最优化问题，并采用有效约束技术求得精确的最优解。
The equations of nonlinearly constrained optimization are presented for the evaluation of the minimal circumscribed sphere.
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.
为提高数字谱仪的能量分辨率，利用约束最优化方法提出了一个在任意平稳噪声背景下直接设计最佳数字有限冲击响应（FIR）滤波器的方法。
The energy resolution of digital spectroscopy can be improved by finite impulse response (FIR) filters optimized for the presence of any kind of stationary noise.
本文介绍把受约束非线性规划方法应用于热力设备最优化设计中进行初次试验的一些结果。
In this paper, some results of a trial applying the constrained nonlinear programming method in optimal design of thermal equipments are presented.
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.
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.
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