ITERATION_METHOD

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A Two-Step Modulus-Based Matrix Splitting Iteration Method Without Auxiliary Variables for Solving Vertical Linear Complementarity Problems
《Communications on Applied Mathematics and Computation》2024年第4期2475-2492,共18页Hua Zheng Xiaoping Lu Seakweng Vong 
supported by the Scientific Computing Research Innovation Team of Guangdong Province(no.2021KCXTD052);the Science and Technology Development Fund,Macao SAR(no.0096/2022/A,0151/2022/A);University of Macao(no.MYRG2020-00035-FST,MYRG2022-00076-FST);the Guangdong Key Construction Discipline Research Capacity Enhancement Project(no.2022ZDJS049);Technology Planning Project of Shaoguan(no.210716094530390);the ScienceFoundation of Shaoguan University(no.SZ2020KJ01).
In this paper,a two-step iteration method is established which can be viewed as a generalization of the existing modulus-based methods for vertical linear complementarity problems given by He and Vong(Appl.Math.Lett.1...
关键词：Vertical linear complementarity problem Modulus-based matrix splitting Two-step method 
The Nonlinear Lopsided HSS-Like Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems with Positive-Definite Matrices
《Communications on Applied Mathematics and Computation》2021年第1期109-122,共14页Lu Jia Xiang Wang Xiao-Yong Xiao 
This work is supported by the National Natural Science Foundation of China with No.11461046;the Natural Science Foundation of Jiangxi Province of China with Nos.20181ACB20001 and 20161ACB21005.
In this paper,by means of constructing the linear complementarity problems into the corresponding absolute value equation,we raise an iteration method,called as the nonlinear lopsided HSS-like modulus-based matrix spl...
关键词：Linear complementarity problem Modulus-based matrix splitting Lopsided HSS 
On Minimization of Upper Bound for the Convergence Rate of the QHSS Iteration Method被引量：1
《Communications on Applied Mathematics and Computation》2019年第2期263-282,共20页Wen-Ting Wu 
the National Natural Science Foundation (No.11671393),China.
For an upper bound of the spectral radius of the QHSS (quasi Hermitian and skew-Hermitian splitting) iteration matrix which can also bound the contraction factor of the QHSS iteration method,we give its minimum point ...
关键词：System of linear equations NON-HERMITIAN matrix QHSS ITERATION method Convergence rate 
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