A modified modulus-based matrix splitting iteration method for solving implicit complementarity problems

被引:31
作者
Zheng, Hua [1 ]
Vong, Seakweng [2 ]
机构
[1] Shaoguan Univ, Sch Math & Stat, Shaoguan, South Korea
[2] Univ Macau, Dept Math, Macau, Peoples R China
基金
中国国家自然科学基金;
关键词
Implicit complementarity problem; Modulus-based method; Positive definite matrix; H+-matrix; RELAXATION METHODS; CONVERGENCE;
D O I
10.1007/s11075-018-0614-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a modified modulus-based matrix splitting iteration method is established for solving a class of implicit complementarity problems. The global convergence conditions are given when the system matrix is a positive definite matrix or an H+-matrix, respectively. In addition, some numerical examples show that the proposed method is efficient.
引用
收藏
页码:573 / 592
页数:20
相关论文
共 49 条
[1]   A new iterative criterion for H-matrices [J].
Alanelli, M. ;
Hadjidimos, A. .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2007, 29 (01) :160-176
[2]  
[Anonymous], 1994, NONNEGATIVE MATRIX M
[3]   Modulus-based synchronous multisplitting iteration methods for linear complementarity problems [J].
Bai, Zhong-Zhi ;
Zhang, Li-Li .
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2013, 20 (03) :425-439
[4]   Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems [J].
Bai, Zhong-Zhi ;
Zhang, Li-Li .
NUMERICAL ALGORITHMS, 2013, 62 (01) :59-77
[5]   Modulus-based matrix splitting iteration methods for linear complementarity problems [J].
Bai, Zhong-Zhi .
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2010, 17 (06) :917-933
[6]   New comparison theorem for the nonlinear multisplitting relaxation method for the nonlinear complementarity problems [J].
Bai, ZZ .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 32 (04) :41-48
[7]   Asynchronous multisplitting two-stage iterations for systems of weakly nonlinear equations [J].
Bai, ZZ ;
Huang, YG .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 93 (01) :13-33
[8]   Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems [J].
Bai, ZZ .
APPLIED MATHEMATICS AND COMPUTATION, 1998, 92 (01) :85-100
[9]   On the convergence of the multisplitting methods for the linear complementarity problem [J].
Bai, ZZ .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1999, 21 (01) :67-78
[10]   The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems [J].
Bai, ZZ .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 31 (12) :17-33