On second-order conditions in unconstrained optimization

被引:0
|
作者
Dušan Bednařík
Karel Pastor
机构
[1] University of Hradec Králové,Department of Mathematics
[2] Palacký University,Department of Mathematical Analysis, Faculty of Science
来源
Mathematical Programming | 2008年 / 113卷
关键词
Locally Lipschitz function; Regular function; function; Peano derivative; Stable function; Isolated minimizer of order ; Dini derivative; 49K10; 26B05;
D O I
暂无
中图分类号
学科分类号
摘要
The main purpose of this paper is to establish the second-order nonsmooth sufficient unconstrained optimality condition for so called ℓ-stable at some point functions and in this way to generalize some previous results in this direction. We provide the comparisons with other results by examples.
引用
收藏
页码:283 / 298
页数:15
相关论文
共 50 条
  • [1] On second-order conditions in unconstrained optimization
    Bednarik, Dusan
    Pastor, Karel
    [J]. MATHEMATICAL PROGRAMMING, 2008, 113 (02) : 283 - 298
  • [2] Superfast Second-Order Methods for Unconstrained Convex Optimization
    Yurii Nesterov
    [J]. Journal of Optimization Theory and Applications, 2021, 191 : 1 - 30
  • [3] Complexity bounds for second-order optimality in unconstrained optimization
    Cartis, C.
    Gould, N. I. M.
    Toint, Ph. L.
    [J]. JOURNAL OF COMPLEXITY, 2012, 28 (01) : 93 - 108
  • [4] Superfast Second-Order Methods for Unconstrained Convex Optimization
    Nesterov, Yurii
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021, 191 (01) : 1 - 30
  • [5] Modifications of the Wolfe line search rules to satisfy second-order optimality conditions in unconstrained optimization
    Zhou, W
    Chalabi, ZS
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1998, 96 (01) : 235 - 246
  • [6] Modifications of the Wolfe Line Search Rules to Satisfy Second-Order Optimally Conditions in Unconstrained Optimization
    W. Zhou
    Z. S. Chalabi
    [J]. Journal of Optimization Theory and Applications, 1998, 96 : 235 - 246
  • [7] Second-Order Optimality Conditions for Multiobjective Optimization Whose Order Induced by Second-Order Cone
    Zhang, Li-Wei
    Zhang, Ji-Hong
    Zhang, Yu-Le
    [J]. JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, 2018, 6 (02) : 267 - 288
  • [8] On second-order optimality conditions in nonlinear optimization
    Andreani, Roberto
    Behling, Roger
    Haeser, Gabriel
    Silva, Paulo J. S.
    [J]. OPTIMIZATION METHODS & SOFTWARE, 2017, 32 (01): : 22 - 38
  • [9] On Second-Order Optimality Conditions for Vector Optimization
    Maciel, Maria C.
    Santos, Sandra A.
    Sottosanto, Graciela N.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 149 (02) : 332 - 351
  • [10] Second-Order Optimality Conditions in Set Optimization
    J. Jahn
    A. A. Khan
    P. Zeilinger
    [J]. Journal of Optimization Theory and Applications, 2005, 125 : 331 - 347