信赖域方法是研究最优化问题的有效方法之一。
The trust region method is one of the most valid ways to study optimization problems.
第三章为一个新的自适应信赖域方法及其收敛性。
In chapter 3, a new self-adaptive trust region method and its convergence are proposed.
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.
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.
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.
第二章研究了非线性方程组问题的自适应信赖域方法。
In chapter 2, we propose a self-adaptive trust region method for system of nonlinear equations.
基于信赖域方法的思想迭代逼近最近电压稳定临界点。
The idea of trust region algorithm was employed to approach the closest critical point.
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.
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.
近几十年来，对单调信赖域方法的研究已经日趋成熟，理论也更加完善。
In recent decade, the research on monotone trust region has matured and theory is very perfect.
线性搜索方法和信赖域方法是保证最优化问题的整体收敛性的两种基本策略。
Both line search and trust region algorithm are well-accepted methods in the optimization to assure global convergence.
针对凸插值、凸光顺和保形插值等带约束条件的插值和光顺问题，提出一种信赖域方法。
This paper presents a trust region algorithm for solving the constrained interpolation and smoothing problems such as convex interpolation, convex smoothing and shape-preserving interpolation.
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。
A new nonmonotonic trust region method is given in this paper. And its global convergence and superlinear convergence are proved. Numerical results are given.
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.
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 this paper, we mainly discuss the modified quasi-Newton trust region methods based on a conic model (TRCM method) and prove their convergence properties.
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。
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.
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。
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.
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。
By using a modified BFGS formula, a BFGS-type trust region method with line search technique for unconstrained optimization problems is proposed.
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。
Trust region interior point method can settle the problem of adjusting step sizes on successive linear programming well.
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。
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.
数值效果显示在数值结果差不多的情况下我们的方法在计算时间上比信赖域-截断共轭梯度法有优越性。
Numerical results demonstrate that our approach is effective, by noting that the computation time is largely shortened in comparison with the trust-truncate CG method.
数值效果显示在数值结果差不多的情况下我们的方法在计算时间上比信赖域-截断共轭梯度法有优越性。
Numerical results demonstrate that our approach is effective, by noting that the computation time is largely shortened in comparison with the trust-truncate CG method.
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