国家自然科学基金(11371253)

作品数：6被引量：5H指数：2
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相关作者：朱德通王鹏王祝君更多>>
相关机构：上海师范大学海南师范大学湖南工程学院更多>>
相关期刊：《湖南工程学院学报（自然科学版）》《Acta Mathematica Sinica,English Series》《系统科学与数学》《Chinese Annals of Mathematics,Series B》更多>>
相关主题：FILTERCONSTRAINED_OPTIMIZATION非线性方程组仿射内点信赖域方法更多>>
相关领域：理学电子电信自动化与计算机技术更多>>
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On the Global Convergence of a Projective Trust Region Algorithm for Nonlinear Equality Constrained Optimization
《Acta Mathematica Sinica,English Series》2018年第12期1804-1828,共25页Yong Gang PEI De Tong ZHU 
Supported by National Natural Science Foundation of China(Grant Nos.11671122 and 11371253);Key Scientific Research Project for Colleges and Universities in He’nan Province(Grant No.15A110031);Key Scientific and Technological Project of He’nan Province(Grant No.162102210069);Natural Science Foundation of He’nan Normal University(Grant No.2014QK04);Ph.D. Research Foundation of He’nan Normal University(Grant Nos.QD13041 and QD14155)
A trust-region sequential quadratic programming （SQP） method is developed and analyzed for the solution of smooth equality constrained optimization problems. The trust-region SQP algorithm is based on filter line se...
关键词：Sequential quadratic programming TRUST-REGION filter line search PROJECTION global convergence 
一个解界约束非线性方程组的无导数回溯线搜索仿射内点信赖域方法（英文）被引量：2
《系统科学与数学》2017年第1期155-171,共17页王鹏 朱德通 
国家自然科学基金(11371253)资助课题
文章给出了一个求解界约束非线性方程组的无导数回溯线搜索仿射内点信赖域方法.该方法利用非线性方程组的特点,对方程组中每一个函数建立插值模型.通过利用信赖域模型和回溯先搜索技术的结合,利用插值信赖域子问题子问题求解搜索方向,...
关键词：无导数优化 信赖域 非线性方程组 内点 
Global and Local Convergence of a New Affine Scaling Trust Region Algorithm for Linearly Constrained Optimization被引量：1
《Acta Mathematica Sinica,English Series》2016年第10期1203-1213,共11页Chao GU De Tong ZHU 
Supported by National Natural Science Foundation of China(Grant Nos.11201304 and 11371253);the Innovation Program of Shanghai Municipal Education Commission
Chen and Zhang [Sci. China, Set. A, 45, 1390-1397 （2002）] introduced an affine scaling trust region algorithm for linearly constrained optimization and analyzed its global convergence. In this paper, we derive a new...
关键词：Linearly constrained optimization affine scaling trust region dwindling filter~ conver-gence 
一簇修正的正割过滤线搜索方法解约束优化问题
《湖南工程学院学报（自然科学版）》2015年第4期55-58,共4页王祝君 朱德通 
国家自然科学基金项目(11371253)
结合过滤机制和内点法,提出了求解非负约束及非线性等式约束最优化问题的过滤原始对偶正割方法.数值结果证实了算法的有效性.
关键词：过滤方法 正割算法 线搜索 障碍法 
A Nonmonotone Hybrid Method of Conjugate Gradient and Lanczos-type for Solving Nonlinear Systems
《Journal of the Operations Research Society of China》2014年第3期291-305,共15页Chun-Xia Jia Jue-Yu Wang De-Tong Zhu 
supports of the National Natural Science Foundation of China(No.11371253).
In this paper,we construct a new algorithm which combines the conjugate gradient and Lanczos methods for solving nonlinear systems.The iterative direction can be obtained by solving a quadratic model via conjugate gra...
关键词：Nonmonotonic technique Nonlinear systems Lanczos method Conjugate gradient 
A Dwindling Filter Algorithm with a Modified Subproblem for Nonlinear Inequality Constrained Optimization被引量：2
《Chinese Annals of Mathematics,Series B》2014年第2期209-224,共16页Chao GU Detong ZHU 
supported by the National Natural Science Foundation of China(Nos.11201304,11371253);the Innovation Program of Shanghai Municipal Education Commission(No.12YZ174);the Group of Accounting and Governance Disciplines(No.10kq03)
The authors propose a dwindling filter algorithm with Zhou's modified subproblem for nonlinear inequality constrained optimization.The feasibility restoration phase,which is always used in the traditional filter metho...
关键词：Modified subproblem Dwindling filter Feasibility restoration phase CONVERGENCE Constrained optimization 
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