A NEW EFFICIENT PRIMAL-DUAL PROJECTIVE INTERIOR POINT METHOD FOR SEMIDEFINITE PROGRAMMING

被引:0
作者
Amina, Zerari [1 ]
Djamel, Benterki [1 ]
机构
[1] Setif 1 Ferhat Abbas Univ, Fac Sci, Dept Math, Lab Fundamental & Numer Math, Setif, Algeria
来源
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2019年 / 2019卷
关键词
Semidefinite programming; Interior point method; Projective method; Primal-dual interior point algorithm; ALGORITHM; CONVERGENCE;
D O I
10.23952/jnfa.2019.12
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we present an efficient two phases primal-dual interior point algorithm without line search for semidefinite optimization problems. We propose three new alternatives which give an effective displacement step and improve the behavior of the algorithm. Moreover, we also present some numerical experiments which show the efficiency of our algorithm.
引用
收藏
页数:12
相关论文
共 25 条
[1]   INTERIOR-POINT METHODS IN SEMIDEFINITE PROGRAMMING WITH APPLICATIONS TO COMBINATORIAL OPTIMIZATION [J].
ALIZADEH, F .
SIAM JOURNAL ON OPTIMIZATION, 1995, 5 (01) :13-51
[2]  
Alvarez F., 2009, NB0906225 DIMCMN
[3]   A numerical feasible interior point method for linear semidefinite programs [J].
Benterki, Djamel ;
Crouzeix, Jean-Pierre ;
Merikhi, Bachir .
RAIRO-OPERATIONS RESEARCH, 2007, 41 (01) :49-59
[4]  
Boyd Stephen P., 2014, Convex Optimization
[5]   SDPHA: A MATLAB implementation of homogeneous interior-point algorithms for semidefinite programming [J].
Brixius, N ;
Potra, FA ;
Sheng, RQ .
OPTIMIZATION METHODS & SOFTWARE, 1999, 11-2 (1-4) :583-596
[6]   Semidefinite programming in combinatorial optimization [J].
Goemans, MX .
MATHEMATICAL PROGRAMMING, 1997, 79 (1-3) :143-161
[7]   An interior-point method for semidefinite programming [J].
Helmberg, C ;
Rendl, F ;
Vanderbei, RJ ;
Wolkowicz, H .
SIAM JOURNAL ON OPTIMIZATION, 1996, 6 (02) :342-361
[8]  
Klerk E., 2002, ASPECTS SEMIDEFINITE
[9]   Local convergence of predictor-corrector infeasible-interior-point algorithms for SDPs and SDLCPs [J].
Kojima, M ;
Shida, M ;
Shindoh, S .
MATHEMATICAL PROGRAMMING, 1998, 80 (02) :129-160
[10]   SDP vs. LP relaxations for the moment approach in some performance evaluation problems [J].
Lasserre, JB ;
Prieto-Rumeau, T .
STOCHASTIC MODELS, 2004, 20 (04) :439-456