| 边界约束正则化下的双网格迭代方法 |
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| 引用本文： | 吴国丽,李维国.边界约束正则化下的双网格迭代方法[J].中国石油大学学报(自然科学版),2007,31(3):167-170. |
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| 作者姓名： | 吴国丽 李维国 |
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| 作者单位： | 中国石油大学,数学与计算科学学院,山东,东营,257061 |
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| 摘 要： | 由不适定问题离散化得到的大规模不适定线性方程组的正则化过程可通过对解加一个上界约束转化为有约束条件的最小值问题。为有效求解此类问题，考虑用双网格迭代方法求解转化得到的对称正定线性方程组。试验问题的数值结果表明，双网格迭代方法求解正则化后的对称正定线性方程组效果很好。
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| 关 键 词： | 不适定问题 正则化 共轭梯度法 预优因子 迭代法 |
| 文章编号： | 1673-5005（2007）03-0167-04 |
| 修稿时间： | 2006-10-07 |
Two-grid iterative methods for bound constrained regularization of ill-posed problems |
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| WU Guo-li,LI Wei-guo.Two-grid iterative methods for bound constrained regularization of ill-posed problems[J].Journal of China University of Petroleum,2007,31(3):167-170. |
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| Authors: | WU Guo-li LI Wei-guo |
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| Institution: | College of Mathematics and Computational Science in China University of Petroleum, Dongying 257061, Shandong Province, China |
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| Abstract: | Large scaled ill-conditioned li.near systems arising from discretization of ill-posed problems were considered. Through an upper bound constraint on the solution, its regularization was transferred into minimum value problem with constraint condition. The two-grid methods were introduced to solve the regularized systems. The numerical results of some test problems show that the two-grid methods are robust in solving regularized systems. |
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| Keywords: | ill-posed problem regularization conjugate gradient pre-conditioner iterative method |
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