Numerical example is presented to compare with pure trust region method and combining method for calculation.
通过计算实例，比较了纯信赖域算法与组合算法的计算工作量。
Approximation management framework is a model management framework that based on trust region method, and it aims to construct an optimization method that based on different models.
变可信度模型管理结构是在信赖域方法的基础上，为建立基于不同分析模型的优化方法提出的模型管理框架。
The trust region method is one of the most valid ways to study optimization problems.
信赖域方法是研究最优化问题的有效方法之一。
A new nonmonotonic trust region method is given in this paper. And its global convergence and superlinear convergence are proved. Numerical results are given.
给出一种新的非单调信赖域方法，证明了算法的全局收敛性和超线性收敛性，最后给出了数值结果。
At the second part, nonmonotonic trust region method for unconstrained optimization is studied.
第二部分主要研究无约束最优化问题非单调信赖域法。
This paper is to study the convergence properties of the gradient projection method with trust region strategy for constrained optimization.
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。
In this paper, a trust region method with new conic model for linearly constrained optimization problems is proposed.
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。
Trust region method is a kind of efficient and robust method to solve general unconstrained optimization.
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 methods to solve the general unconstrained optimization and its special situation, the nonlinear least squares problems.
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。
Aiming at the shortcomings of trust region method, we proposed an algorithm using negative curvature direction as its searching direction. The convergence of the algorithm was given.
针对模型信赖域方法中搜索方向存在的不足，提出了按负曲率方向进行搜索的模型信赖域算法，并证明了算法的收敛性。
In order to overcome the disturbance of noises, a robust identification method of water quality model parameters namely trust region algorithm based on M-estimation is proposed.
为了克服随机噪声对河流水质模型参数估计的干扰，提出了一种水质模型参数的鲁棒估计方法，即基于M -估计的信赖域算法。
Trust region interior point method can settle the problem of adjusting step sizes on successive linear programming well.
信赖域内点法可以很好地解决逐线性规划方法中的步长调整问题。
By using a modified BFGS formula, a BFGS-type trust region method with line search technique for unconstrained optimization problems is proposed.
利用一个修正的BFGS公式，提出了结合线搜索技术的BFGS -信赖域方法，并在一定条件下证明了该方法的全局收敛性和超线性收敛性。
This paper presents an interior trust region method for linear constrained LC convex optimization problems.
本文提出一种解线性约束凸规划的数值方法。
An adaptive filter trust region method for large scale unconstrained optimization is proposed.
提出一种解大规模无约束优化问题的自适应过滤信赖域法。
In this paper, we mainly discuss the modified quasi-Newton trust region methods based on a conic model (TRCM method) and prove their convergence properties.
沿袭用锥模型来逼近原问题的思路，本文主要研究锥模型拟牛顿信赖域方法的参数选择、收敛性和数值实现。
In chapter 4, a implementation version is given for the trust region gradient method with memory model. Numerical results show that this scheme is feasible.
第四章给出了带记忆模型信赖域梯度的算法的具体实现方案，数值实验结果表明该方案是可行的。
In chapter 2, we mainly introduce the trust region method and some related works.
第三章提出了一种新的带线搜索的信赖域算法。
Numerical results show that the present algorithm is efficient and reliable. The last chapter, we present a modified filter trust region method for bound constrained problems.
第六章，由第五章求解无约束问题的多维滤子信赖域修正算法出发，将其推广到界约束乃至凸约束的优化问题。
In chapter 3, a new self-adaptive trust region method and its convergence are proposed.
第三章为一个新的自适应信赖域方法及其收敛性。
In chapter 2, we propose a self-adaptive trust region method for system of nonlinear equations.
第二章研究了非线性方程组问题的自适应信赖域方法。
This paper presents a novel algorithm for the OPF problem based on a trust region method.
文中基于信赖域的思想提出了求解opf的新算法。
In chapter 3, we present a self-adaptive trust region method for solving generalized nonlinear complementarity problems.
第三章为广义非线性互补问题的自适应信赖域方法。
In chapter 3, we present a self-adaptive trust region method for solving generalized nonlinear complementarity problems.
第三章为广义非线性互补问题的自适应信赖域方法。
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