The new iteration algorithm for absolute value equation

被引:57
作者
Ke, Yifen [1 ,2 ]
机构
[1] Fujian Normal Univ, Coll Math & Informat, Fuzhou 350117, Fujian, Peoples R China
[2] Fujian Normal Univ, FJKLMAA, Fuzhou 350117, Fujian, Peoples R China
基金
美国国家科学基金会;
关键词
Absolute value equation; Iteration algorithm; Convergence analysis; GENERALIZED NEWTON METHOD; CONVERGENCE;
D O I
10.1016/j.aml.2019.07.021
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a new iteration algorithm is proposed for the absolute value equation. The convergence of the proposed algorithm is studied under suitable assumptions. Moreover, some numerical experiments are given to demonstrate the feasibility and effectiveness of the algorithm. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页数:7
相关论文
共 25 条
[11]   Absolute value equations [J].
Mangasarian, O. L. ;
Meyer, R. R. .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 419 (2-3) :359-367
[12]   A generalized Newton method for absolute value equations [J].
Mangasarian, O. L. .
OPTIMIZATION LETTERS, 2009, 3 (01) :101-108
[13]   A generalized Newton method for absolute value equations associated with circular cones [J].
Miao, Xin-He ;
Yang, Jiantao ;
Hu, Shenglong .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 269 :155-168
[14]   Some techniques for solving absolute value equations [J].
Moosaei, H. ;
Ketabchi, S. ;
Noor, M. A. ;
Iqbal, J. ;
Hooshyarbakhsh, V. .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 268 :696-705
[15]   On an iterative method for solving absolute value equations [J].
Noor, Muhammad Aslam ;
Iqbal, Javed ;
Noor, Khalida Inayat ;
Al-Said, Eisa .
OPTIMIZATION LETTERS, 2012, 6 (05) :1027-1033
[16]   The general two-sweep modulus-based matrix splitting iteration method for solving linear complementarity problems [J].
Ren, Huan ;
Wang, Xiang ;
Tang, Xiao-Bin ;
Wang, Teng .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (04) :1071-1081
[17]   A theorem of the alternatives for the equation Ax+B|x|=b [J].
Rohn, J .
LINEAR & MULTILINEAR ALGEBRA, 2004, 52 (06) :421-426
[18]   The Picard-HSS iteration method for absolute value equations [J].
Salkuyeh, Davod Khojasteh .
OPTIMIZATION LETTERS, 2014, 8 (08) :2191-2202
[19]   A verification method for enclosing solutions of absolute value equations [J].
Wang, Haijun ;
Liu, Hao ;
Cao, Suyu .
COLLECTANEA MATHEMATICA, 2013, 64 (01) :17-38
[20]   An Efficient Numerical Method for the Symmetric Positive Definite Second-Order Cone Linear Complementarity Problem [J].
Wang, Xiang ;
Li, Xing ;
Zhang, Lei-Hong ;
Li, Ren-Cang .
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 79 (03) :1608-1629