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- The aim of this paper is to construct a three-term conjugate gradient method to solve the trust region subproblem. 在本文中，我们提出了解信赖域子问题的三项预处理共轭梯度法，并将这个方法嵌入解大型最优化问题的信赖域算法中。
- This paper mainly discusses the conic trust region subproblem which is a key problem in conic trust region method. 在锥模型信赖域方法中,解锥模型信赖域子问题是关键,因此本文主要研究锥模型信赖域子问题及求解方法。
- While for the STI approach we construct a two-dimensional subspace and then solve the trust region subproblem on it directly. 而STI方法在构造的低维子空间上求信赖域子问题的解。
- By using active set strategy, the authors need only to solve a reduced trust region subproblem which is solved inexactly by the truncated conjugate gradient method. 作者利用有效集策略，在每次迭代中只需求解一个低维的信赖域子问题，该信赖域子问题是通过截断共轭梯度法来近似求解的。
- And through the transformation, the conic trust region subproblem is converted into the problem of minimizing a quadratic function with two convex constraints. 通过对第二种情形进行细化和变换,把原锥信赖域子问题转化为凸规划问题。
- A New Algorithm for Solving Large Scale Trust Region Subproblem 解决大规模信赖域子问题的一种新算法
- Three-Term Preconditioned Conjugate Gradient Method and Trust Region Subproblem 三项预处理共轭梯度法与信赖域子问题
- Some properties of the optimal path of trust region methods are shown, and the relationship between dogleg path and optimal path is analysed.This can be used to derive better approximate algorithms for solving trust region subproblems. 本文描述了信赖域方法最优曲线在二维子空间内投影的几个性质，分析了几种信赖域折线法与该投影的关系，为推导更好的求解信赖域子问题的折线近似提供理论依据.
- By the Interior Technique Solving the Trust Region Subproblem of the Variational Inequlity Problems with the Nonnegative Constrained Reformulation Form 求解一类变分不等式问题的内点信赖域方法
- trust region subproblem 信赖域子问题
- TANGENT SINGLE DOGLEG METHOD FOR TRUST REGION SUBPROBLEMS 解信赖域子问题的切线单折线法
- Based on the Powell's single dogleg method,Dennis' double dogleg mothod and Zhao Yingliang's tagent single dogleg method,this paper presents a hybrid dogleg method to solve the subproblem of trust region and the results of numerical experiments. 基于Powell的单折线法 ;Dennis的双折线法和赵英良的切线单折线法 ;提出了解信赖域子问题的一种混合折线算法 ;并给出了数值试验结果 .
- The algorithm combines trust region method and interior technique. 算法运用了信赖域方法和内点技术。
- Conjugate gradient method using restart strategy for solving trust region subproblems 信赖域子问题使用重新开始策略的共轭梯度法
- In this paper, the authors present a trust region method for nonlinear system. 摘要该文给出了一个求解非线性系统的信赖域方法。
- Steihaug has shown that an approximate solution of the trust region problem may be found by the PCG method. 共轭梯度法由于不需要矩阵计算和存贮，成了解大型问题的首选方法。
- Based on the K-T condition and NCP function, we present a trust region algorithm for solving minimax optimization problem. 借助于K-T条件和NCP函数,提出了处理一类极大极小优化问题的信赖域算法。
- Further, we establish the duality programming and optimality conditions of the Celis Dennis Tapia trust region problem. 进一步建立了 Celis- Dennis- Tapia的信赖域子问题的对偶形式和最优性条件 .
- Coleman and Li propose a trust region interior algorithm named "double-trust regionmethod"in [5]. This algorithm construct an a? Coleman 和Li 在[5] 中提出了一种信赖域内点算法,称为“双信赖域法”。
- Dennis J E ,Li S B , Tapia R A.A unified approach to global convergence of trust region method for nonsmooth optimization\[J \] .Math Prog. 欧宜贵;侯定丕.;无约束非光滑优化的信赖域算法\\[J\\]
