TWO ALGORITHMS FOR LC^1 UNCONSTRAINED OPTIMIZATION 被引量：3

TWO ALGORITHMS FOR LC^1 UNCONSTRAINED OPTIMIZATION

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摘要 Presents two algorithms for LC unconstrained optimization problems which use the second order Dini upper directional derivative. Simplicity of the methods to use and perform; Discussion of related properties of the iteration function. Presents two algorithms for LC unconstrained optimization problems which use the second order Dini upper directional derivative. Simplicity of the methods to use and perform; Discussion of related properties of the iteration function.

作者 Wen-yu Sun R.J.B.de Sampaio Jin-Yun Yuan

机构地区 School of Mathematics and Computer Science Applied Informatics Program Department of Mathematics

出处《Journal of Computational Mathematics》 SCIE EI CSCD 2000年第6期621-632,共12页 计算数学（英文）

基金 CNPq of Brazil and the National Natural Science Foundation of China.

关键词 nonsmooth optimization directional derivative Newton-like method CONVERGENCE trust region method nonsmooth optimization directional derivative Newton-like method convergence trust region method

分类号 O224 [理学—运筹学与控制论]

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参考文献4

1Liqun Qi.Superlinearly convergent approximate Newton methods for LC1 optimization problems[J].Mathematical Programming (-).1994(1-3)
2Liqun Qi,Jie Sun.A nonsmooth version of Newton’s method[J].Mathematical Programming (-).1993(1-3)
3Y. Yuan.Conditions for convergence of trust region algorithms for nonsmooth optimization[J].Mathematical Programming.1985(2)
4Jean-Baptiste Hiriart-Urruty,Jean-Jacques Strodiot,V. Hien Nguyen.Generalized Hessian matrix and second-order optimality conditions for problems withC 1,1 data[J].Applied Mathematics & Optimization.1984(1)

同被引文献6

1韩立兴.关于无约束规划的一个ODE算法的收敛性质[J].计算数学,1993,15(4):449-455. 被引量：10
2欧宜贵,侯定丕.A SUPERLINEARLY CONVERGENT TRUST REGION ALGORITHM FOR LC^1 CONSTRAINED OPTIMIZATION PROBLEMS[J].Acta Mathematica Scientia,2005,25(1):67-80. 被引量：3
3赵文会,高岩.非光滑半定规划的一阶最优性条件(英文)[J].运筹学学报,2006,10(3):1-9. 被引量：2
4ZhenghaoYang,Wenyu Sun,Chuangyin Dang.A FILTER-TRUST-REGION METHOD FOR LC^1 UNCONSTRAINED OPTIMIZATION AND ITS GLOBAL CONVERGENCE[J].Analysis in Theory and Applications,2008,24(1):55-66. 被引量：1
5De Tong ZHU.Superlinearly Convergent Affine Scaling Interior Trust-Region Method for Linear Constrained LC^1 Minimization[J].Acta Mathematica Sinica,English Series,2008,24(12):2081-2100. 被引量：4
6欧宜贵,洪世煌.LC^1约束规划问题的超线性收敛ODE型信赖域算法(英文)[J].应用数学,2003,16(2):59-65. 被引量：1

引证文献3

1欧宜贵,侯定丕.A SUPERLINEARLY CONVERGENT TRUST REGION ALGORITHM FOR LC^1 CONSTRAINED OPTIMIZATION PROBLEMS[J].Acta Mathematica Scientia,2005,25(1):67-80. 被引量：3
2赵文会,高岩,戴天晟.C^(1，1)半定规划的二阶最优性条件(英文)[J].运筹学学报,2008,12(3):1-12.
3王冠舒,欧宜贵.一个带固定步长的ODE型算法[J].数学的实践与认识,2013,43(1):219-227. 被引量：3

二级引证文献6

1赵文会,高岩.C^1，1半定规划的二阶最优性条件[J].数学物理学报（A辑）,2008,28(1):155-163.
2林海蝉,欧宜贵.半无限规划的一个ODE型滤子算法[J].海南大学学报（自然科学版）,2009,27(3):228-233.
3王冠舒,欧宜贵.一个带固定步长的ODE型算法[J].数学的实践与认识,2013,43(1):219-227. 被引量：3
4王冠舒,欧宜贵,武斌.关于非线性等式约束优化问题的一点注记[J].数学的实践与认识,2015,45(9):269-274.
5贾胜南,欧宜贵,王冠舒.一个求解无约束优化的ODE型混合方法[J].应用数学,2015,28(4):801-810. 被引量：2
6周鑫,欧宜贵.一个无约束优化的非单调拟牛顿型ODE方法[J].应用数学,2018,31(2):400-407. 被引量：1

1ZHU Detong(Department of Mathematics, Shanghai Normal University, Shanghai 200234 China).A NONMONOTONE TRUST REGION TECHNIQUEFOR UNCONSTRAINED OPTIMIZAfIONPROBLEMS[J].Systems Science and Mathematical Sciences,1998,11(4):375-382. 被引量：1
2Yu-fei Yang,Dong-hui Li.A TRUST REGION ALGORITHM FOR CONSTRAINED NONSMOOTH OPTIMIZATION PROBLEMS[J].Journal of Computational Mathematics,2001,19(4):357-364. 被引量：2
3De-tong Zhu (Department of Mathematics, Shanghai Normal University, Shanghai 200234, China).CURVILINEAR PATHS AND TRUST REGION METHODS WITH NONMONOTONIC BACK TRACKING TECHNIQUE FOR UNCONSTRAINED OPTIMIZATION[J].Journal of Computational Mathematics,2001,19(3):241-258. 被引量：26
4Yuhong Dai Dachuan Xu(State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematicsand Scientific/Engineering Computing, Academy of Mathematics and System Sciences, ChineseAcademy of Sciences, P.O. Box 2719, Beijing 100080, China).A NEW FAMILY OF TRUST REGION ALGORITHMS FOR UNCONSTRAINED OPTIMIZATION[J].Journal of Computational Mathematics,2003,21(2):221-228. 被引量：5
5柯小伍,韩继业.A class of nonmonotone trust region algorithms for unconstrained optimization problems[J].Science China Mathematics,1998,41(9):927-932. 被引量：2
6L.P. Sun(Department of Mathematics, Nanjing University, Jiangsu, China).A RESTRICTED TRUST REGION METHOD WITH SUPERMEMORY FOR UNCONSTRAINED OPTIMIZATION[J].Journal of Computational Mathematics,1996,14(3):195-202. 被引量：1
7吴士泉,吴方.COMPUTATION OF A TRUST REGION STEP[J].Acta Mathematicae Applicatae Sinica,1991,7(4):354-362.
8陈中文,韩继业,韩乔明.A GLOBALLY CONVERGENT TRUST REGION ALGORITHM FOR OPTIMIZATION WITH GENERAL CONSTRAINTS AND SIMPLE BOUNDS[J].Acta Mathematicae Applicatae Sinica,1999,15(4):425-432. 被引量：3
9章祥荪,张菊亮,廖立志.An adaptive trust region method and its convergence[J].Science China Mathematics,2002,45(5):620-631. 被引量：10
10ZHU Detong (Department of Mathematics, Shanghai Normal University, Shanghai 200234, China).CONVERGENCE PROPERTIES OF PROJECTED GRADIENT METHODS WITH NONMONOTONIC BACK TRACKING TECHNIQUE FOR CONVEX CONSTRAINED OPTIMIZATION[J].Systems Science and Mathematical Sciences,2000,13(4):407-424. 被引量：2

Journal of Computational Mathematics

2000年第6期

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TWO ALGORITHMS FOR LC^1 UNCONSTRAINED OPTIMIZATION 被引量：3

参考文献4

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