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| 一类求解双边障碍问题的松弛型二级多分裂并行算法 |
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董晓亮,李郴良,何郁波,余国林
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1. 北方民族大学信息与计算科学学院,宁夏,银川,750021
2. 桂林电子科技人学数学与计算科学学院,广西,桂林,541004
3. 怀化学院数学研究所数学与应用数学,湖南,怀化,418008
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| 摘要: |
| 本文研究了一类求解双障碍问题的松弛型二级多分裂并行算法.运用矩阵多分裂理论,在一定条件下证明了算法的收敛性.数值算例说明算法是有效的和稳健的. |
| 关键词: 双边障碍问题 关二级多分裂 收敛 |
| DOI： |
| 分类号:O221.2 |
| 基金项目:国家自然科学基金项目，国家青年自然科学基金，宁夏自然科学基金，宁夏高等学校科学研究项目 |
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| A RELAXED TWO-STAGE MULTI-SPLITTING ALGORITHM FOR BI-OBSTACLE PROBLEMS |
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DONG Xiao-liang,LI Chen-liang,HE Yu-bo,YU Guo-lin
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DONG Xiao-liang~1,LI Chen-liang~2,HE Yu-bo~3,YU Guo-lin~1 (1.School of Information and Computation Science,North University for Ethnics,Yinchuan 750021,China) (2.School of Computing Science and Mathematics,Guilin University of Electronic Technology,Guilin 541004,China) (3.Dept.of Math.and Applied Math.,Institute of Math.,Huaihua University,Huaihua 418008,China)
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| Abstract: |
| A relaxed two-stage multi-splitting algorithm for bi-obstacle problems is presented. By using the theory of matrix multisphtting,the convergence of the algorithm under some conditions is discussed.Numerical results show that the algorithm is effective and robust. |
| Key words: bi-obstacal problem two-stage multi-splitting convergence |
