| 一类弱非线性互补问题的广义模系矩阵多分裂多参数加速松弛迭代方法 |
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| 引用本文： | 李郴良,田兆鹤,胡小媚.一类弱非线性互补问题的广义模系矩阵多分裂多参数加速松弛迭代方法[J].计算数学,2019,41(1):91-103. |
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| 作者姓名： | 李郴良 田兆鹤 胡小媚 |
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| 作者单位： | 桂林电子科技大学数学与计算科学学院, 广西高校数据分析与计算重点实验室, 桂林 541004 |
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| 基金项目： | 本文由国家自然科学基金项目（11661027）、国家重大仪器专项（61627807）和广西自然科学基金项目资助（2015 GXNSFAA139014）资助. |
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| 摘 要： | 本文提出一类求解弱非线性互补问题的广义模系矩阵多分裂多参数加速松弛迭代方法，并给出了系数矩阵为H+-矩阵时该方法的收敛性分析.数值实验表明新方法是有效的.
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| 关 键 词： | 弱非线性互补问题 矩阵多分裂:多参数 H+-矩阵 松弛 |
| 收稿时间： | 2018-01-31 |
THE GENERAL MODULUS-BASED MATRIX MULTI-SPLITTING MULTI-PARAMETER ACCELERATED OVERRELAXATION METHOD FOR A CLASS OF WEAKLY NONLINEAR COMPLEMENTARITY PROBLEMS |
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| Li Chenliang,Tian Zhaohe,Hu Xiaomei.THE GENERAL MODULUS-BASED MATRIX MULTI-SPLITTING MULTI-PARAMETER ACCELERATED OVERRELAXATION METHOD FOR A CLASS OF WEAKLY NONLINEAR COMPLEMENTARITY PROBLEMS[J].Mathematica Numerica Sinica,2019,41(1):91-103. |
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| Authors: | Li Chenliang Tian Zhaohe Hu Xiaomei |
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| Institution: | School of Mathematics and Computational Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China |
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| Abstract: | A class of general modulus-based matrix mulit-splitting multi-parameter accelerated overrelaxation iterative method is proposed for solving a class of weakly nonlinear complementarity problems. Convergence conditions are given for the new methods when the coefficient matrix is an H+-matrix. The numerical results show that the new methods are efficient. |
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| Keywords: | weakly nonlinear complementarity problem matrix multi-splitting multiparameter H+-matrix" target="_blank">H+-matrix')" href="#">H+-matrix overrelaxation |
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