Comments on “Dual methods for nonconvex spectrum optimization of multicarrier systems”

被引:0
|
作者
Tamás Terlaky
Jiaping Zhu
机构
[1] McMaster University,Advanced Optimization Lab, School of Computational Engineering and Science, Department of Computing and Software
来源
Optimization Letters | 2008年 / 2卷
关键词
Strong duality theorem; Time-sharing property; Ky Fan convexity;
D O I
暂无
中图分类号
学科分类号
摘要
Yu and Liu’s strong duality theorem under the time-sharing property requires additionally the Slater regularity condition to hold for the considered general nonconvex problem, which is naturally satisfied for the specific application. We further extend the scope of the theorem under Ky Fan convexity, which is slightly weaker than Yu and Lui’s time-sharing property.
引用
收藏
页码:497 / 503
页数:6
相关论文
共 50 条
  • [1] Comments on "Dual methods for nonconvex spectrum optimization of multicarrier systems"
    Terlaky, Tamas
    Zhu, Jiaping
    OPTIMIZATION LETTERS, 2008, 2 (04) : 497 - 503
  • [2] Dual methods for nonconvex spectrum optimization of multicarrier systems
    Yu, Wei
    Lui, Raymond
    IEEE TRANSACTIONS ON COMMUNICATIONS, 2006, 54 (07) : 1310 - 1322
  • [3] Nonconvex Optimization with Dual Bounds and Application in Communication Systems
    Ahadizadeh, Akram
    Anbarzadeh, Sadaf
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2012, 5 (04): : 304 - 312
  • [4] Adaptive Methods for Nonconvex Optimization
    Zaheer, Manzil
    Reddi, Sashank J.
    Sachan, Devendra
    Kale, Satyen
    Kumar, Sanjiv
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 31 (NIPS 2018), 2018, 31
  • [5] ACCELERATED METHODS FOR NONCONVEX OPTIMIZATION
    Carmon, Yair
    Duchi, John C.
    Hinder, Oliver
    Sidford, Aaron
    SIAM JOURNAL ON OPTIMIZATION, 2018, 28 (02) : 1751 - 1772
  • [6] Canonical dual methods for general box constrained nonconvex and nonsmooth optimization problems
    Liu, Huicheng C.
    Gao, Jianwei
    Liu, Jing
    JOURNAL OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING, 2019, 19 (03) : 765 - 777
  • [7] PAIR OF DUAL NONCONVEX OPTIMIZATION PROBLEMS
    BOER, RD
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1971, 51 (08): : 627 - &
  • [8] PARALLEL AND DISTRIBUTED METHODS FOR NONCONVEX OPTIMIZATION
    Scutari, G.
    Facchinei, F.
    Lampariello, L.
    Song, P.
    2014 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP), 2014,
  • [9] Proximal point methods and nonconvex optimization
    Kaplan, A
    Tichatschke, R
    JOURNAL OF GLOBAL OPTIMIZATION, 1998, 13 (04) : 389 - 406
  • [10] Proximal Point Methods and Nonconvex Optimization
    A. Kaplan
    R. Tichatschke
    Journal of Global Optimization, 1998, 13 : 389 - 406