A POLYNOMIAL-TIME ALGORITHM FOR FRACTIONAL PROGRAMS WITH CONVEX CONSTRAINTS

被引:0
|
作者
FREUND, RW [1 ]
JARRE, F [1 ]
机构
[1] UNIV WURZBURG,INST ANGEW MATH & STAT,D-97074 WURZBURG,GERMANY
来源
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We describe an interior-point method for solving a class of fractional programs. Even though the programs under consideration are only pseudo-convex, the proposed method converges in polynomial time, just as in the case of a convex problem. Here, the rate of convergence is measured in terms of suitably constructed two-dimensional sets whose areas are reduced by a constant factor at each iteration.
引用
收藏
页码:T523 / T525
页数:3
相关论文
共 50 条
  • [21] A Polynomial-Time Algorithm for the Maximum Clique Problem
    Akbari, Zohreh O.
    2013 IEEE/ACIS 12TH INTERNATIONAL CONFERENCE ON COMPUTER AND INFORMATION SCIENCE (ICIS), 2013, : 503 - 507
  • [22] Polynomial-Time Algorithm for Sliding Tokens on Trees
    Demaine, Erik D.
    Demaine, Martin L.
    Fox-Epstein, Eli
    Hoang, Duc A.
    Ito, Takehiro
    Ono, Hirotaka
    Otachi, Yota
    Uehara, Ryuhei
    Yamada, Takeshi
    ALGORITHMS AND COMPUTATION, ISAAC 2014, 2014, 8889 : 389 - 400
  • [23] A stable, polynomial-time algorithm for the eigenpair problem
    Armentano, Diego
    Beltran, Carlos
    Buergisser, Peter
    Cucker, Felipe
    Shub, Michael
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2018, 20 (06) : 1375 - 1437
  • [24] A polynomial-time algorithm for memory space reduction
    Song, YH
    Wang, C
    Li, ZY
    INTERNATIONAL JOURNAL OF PARALLEL PROGRAMMING, 2005, 33 (01) : 1 - 33
  • [25] A POLYNOMIAL-TIME ALGORITHM RECOGNIZING LINK TREES
    BUGATA, P
    NAGY, A
    VAVRA, R
    JOURNAL OF GRAPH THEORY, 1995, 19 (03) : 417 - 433
  • [26] A Polynomial-Time Algorithm for Pliable Index Coding
    Song, Linqi
    Fragouli, Christina
    2016 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, 2016, : 120 - 124
  • [27] A Polynomial-Time Algorithm for Memory Space Reduction
    Yonghong Song
    Cheng Wang
    Zhiyuan Li
    International Journal of Parallel Programming, 2005, 33 : 1 - 33
  • [28] Polynomial-Time Algorithm for the Leafage of Chordal Graphs
    Habib, Michel
    Stacho, Juraj
    ALGORITHMS - ESA 2009, PROCEEDINGS, 2009, 5757 : 290 - +
  • [29] A POLYNOMIAL-TIME ALGORITHM FOR UNIDIMENSIONAL UNFOLDING REPRESENTATIONS
    DOIGNON, JP
    FALMAGNE, JC
    JOURNAL OF ALGORITHMS, 1994, 16 (02) : 218 - 233
  • [30] A Polynomial-Time Solution Scheme for Quadratic Stochastic Programs
    Paula Rocha
    Daniel Kuhn
    Journal of Optimization Theory and Applications, 2013, 158 : 576 - 589