A global error bound via the SQP method for constrained optimization problem

被引:0
|
作者
Zhao, Wen-Ling [1 ]
Song, Dao-Jin
机构
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Liaoning, Peoples R China
[2] Shandong Univ, Sch Math & Informat Sci, Shandong 255049, Peoples R China
关键词
SQP problem; value function; global error bound; convergence;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
For the constrained optimization problem, under the condition that the objective function is strongly convex, we obtain a global error bound for the distance between any feasible solution and the optimal solution by using the merit function in the sequential quadratic programming (SQP) method.
引用
收藏
页码:775 / 781
页数:7
相关论文
共 50 条
  • [21] A restoration-free filter SQP algorithm for equality constrained optimization
    Zhu, Xiaojing
    Pu, Dingguo
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (11) : 6016 - 6029
  • [22] A global exact penalty for rank-constrained optimization problem and applications
    Yang, Zhikai
    Han, Le
    COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2023, 84 (02) : 477 - 508
  • [23] Global Error Bound for the Generalized Linear Complementarity Problem over a Polyhedral Cone
    Sun, H. C.
    Wang, Y. J.
    Qi, L. Q.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2009, 142 (02) : 417 - 429
  • [24] Filter-based DIRECT method for constrained global optimization
    Costa, M. Fernanda P.
    Rocha, Ana Maria A. C.
    Fernandes, Edite M. G. P.
    JOURNAL OF GLOBAL OPTIMIZATION, 2018, 71 (03) : 517 - 536
  • [25] MSO: a framework for bound-constrained black-box global optimization algorithms
    Al-Dujaili, Abdullah
    Suresh, S.
    Sundararajan, N.
    JOURNAL OF GLOBAL OPTIMIZATION, 2016, 66 (04) : 811 - 845
  • [26] A simulated annealing driven multi-start algorithm for bound constrained global optimization
    Ali, M. M.
    Gabere, M. N.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (10) : 2661 - 2674
  • [27] Combining Filter Method and Dynamically Dimensioned Search for Constrained Global Optimization
    Macedo, M. Joseane F. G.
    Costa, M. Fernanda P.
    Rocha, Ana Maria A. C.
    Karas, Elizabeth W.
    COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2017, PT III, 2017, 10406 : 119 - 134
  • [28] The Analysis of Alternating Minimization Method for Double Sparsity Constrained Optimization Problem
    Gao, Huan
    Li, Yingyi
    Zhang, Haibin
    ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 2020, 37 (04)
  • [29] Error bound and exact penalty method for optimization problems with nonnegative orthogonal constraint
    Qian, Yitian
    Pan, Shaohua
    Xiao, Lianghai
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2024, 44 (01) : 120 - 156
  • [30] Handling Constrained Many-Objective Optimization Problems via Problem Transformation
    Jiao, Ruwang
    Zeng, Sanyou
    Li, Changhe
    Yang, Shengxiang
    Ong, Yew-Soon
    IEEE TRANSACTIONS ON CYBERNETICS, 2021, 51 (10) : 4834 - 4847