Optimal error correction of the absolute value equation using a genetic algorithm

被引:21
作者
Ketabchi, Saeed [1 ]
Moosaei, Hossein [1 ]
Fallahi, Saeed [1 ]
机构
[1] Univ Guilan, Fac Math Sci, Dept Appl Math, Rasht, Iran
关键词
Absolute value equation; Fractional programming; Genetic algorithm; Optimum correction; LINEAR COMPLEMENTARITY-PROBLEM;
D O I
10.1016/j.mcm.2011.11.068
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper we have studied the optimum correction of the absolute value equation through making minimal changes in the coefficient matrix and the right-hand side using the l(2) norm. Solving this problem is equal to solving a nonconvex and fractional quadratic problem. To solve this problem, we use a genetic algorithm. Our computational results show that this method is efficient, with high accuracy. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2339 / 2342
页数:4
相关论文
共 12 条
  • [1] BAZARAA MS, 1999, NONLINEAR PROGRAMMIN
  • [2] Cottle R.W., 1992, The Linear Complementarity Problem
  • [3] Cottle Richard W., 1968, Linear Algebra and its Applications, V1, P103, DOI [DOI 10.1016/0024-3795(68)90052-9, 10.1016/0024-3795(68)90052-9]
  • [4] Absolute value programming
    Mangasarian, O. L.
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2007, 36 (01) : 43 - 53
  • [5] Absolute value equations
    Mangasarian, O. L.
    Meyer, R. R.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 419 (2-3) : 359 - 367
  • [6] A generalized Newton method for absolute value equations
    Mangasarian, O. L.
    [J]. OPTIMIZATION LETTERS, 2009, 3 (01) : 101 - 108
  • [7] Mitchell M., 1997, Introduction to genetic algorithms
  • [8] Pardalos P. M., 2011, OPTIMIZATIO IN PRESS
  • [9] GLOBAL OPTIMIZATION APPROACH TO THE LINEAR COMPLEMENTARITY-PROBLEM
    PARDALOS, PM
    ROSEN, JB
    [J]. SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1988, 9 (02): : 341 - 353
  • [10] Rahmat-Samii Y., 1999, WILEY SERIES MICROWA, V42, P232