Chapter 2: a trust region subproblem model with memory is proposed.
第二章：给出了带记忆的信赖域子问题模型。
Trust region type algorithm possesses very good theoretical properties.
结合信赖域技术，算法具有良好的理论性态。
Trust region methods are efficient for solving unconstraint optimization problems.
信赖域算法是求解最优化问题的一类有效算法。
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。
The idea of trust region algorithm was employed to approach the closest critical point.
基于信赖域方法的思想迭代逼近最近电压稳定临界点。
In chapter 3, we present a nonmonotonic trust region algorithm based on the conic model.
第三章，我们提出了一类基于锥模型的非单调信赖域算法。
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。
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。
In recent decade, the research on monotone trust region has matured and theory is very perfect.
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 this paper, we develop a trust region algorithm for convex 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 propose a new class of trust region methods for nonlinear optimization problems.
本文提出一类新的解无约束最优化问题的信赖域方法。
The strong convergence of the algorithm under a general choice for radius of trust region is proved.
在一个很广泛的信赖域半径选择规则下，证明了算法的强收敛性。
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。
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。
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。
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。
Both line search and trust region algorithm are well-accepted methods in the optimization to assure global convergence.
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。
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。
A nonmonotonic trust region algorithm with line search for unconstrained optimization problems is presented in this paper.
给出无约束最优化的一类带线搜索的非单调信赖域算法。
We discuss non-monotonic trust region algorithm for unconstrained nonlinear optimization problems in view of Trust Region Model mainly.
然后从信赖域子问题的角度出发，对无约束优化问题提出了一个改进的非单调信赖域算法。
We propose a new trust region algorithm for special linear inequality constrained optimization problems with nonnegative bound constraints.
对一类带有非负边界约束的线性不等式约束优化问题进行了研究，提出了一种新的信赖域算法。
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, we propose a new trust region algorithm for solving a class of composite nonsmooth optimization subject to convex constraints.
提出了求解一类带一般凸约束的复合非光滑优化的信赖域算法。
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。
We apply the popular trust region algorithm and truncated conjugate gradient algorithm with trust region skills to solve trust region subproblems.
应用目前流行的信赖域算法，并用带有信赖域技巧的截断共扼梯度法来解信赖域子问题。
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。
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。
In this paper, a trust region algorithm for general nonlinear equality constrained optimization problems, is presented. The solution of their subproblems is easy.
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。
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。
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。
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