| 求解参数识别反问题的同伦正则化方法 |
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| 引用本文： | 李壮.求解参数识别反问题的同伦正则化方法[J].大学数学,2007,23(4):46-49. |
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| 作者姓名： | 李壮 |
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| 作者单位： | 琼州大学,计算机系,海南,五指山,572200;哈尔滨工业大学,数学系,黑龙江,哈尔滨,150001 |
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| 摘 要： | 提出了求解参数识别反问题的同伦正则化方法,给出了相应的收敛性定理.数值结果表明该方法是一种快速的大范围收敛方法.
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| 关 键 词： | 反问题 同伦正则化 收敛性 |
| 文章编号： | 1672-1454（2007）04-0046-04 |
| 修稿时间： | 2005-07-21 |
The Homotopy-regularization Method for Solving Nonlinear Inverse Problems |
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| LI Zhuang.The Homotopy-regularization Method for Solving Nonlinear Inverse Problems[J].College Mathematics,2007,23(4):46-49. |
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| Authors: | LI Zhuang |
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| Institution: | 1. School of Scienee, Harbin Institute of Technology, Harbin 150001, China; 2. Dept. of Math. , Qiong Zhou University, Hainan 572200, China |
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| Abstract: | On the basis of homotopy method a widely convergence inversion scheme for solving nonlinear inverse problems called homotopy-regularization method is developed. The formation of it and its convergence theorem are given. |
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| Keywords: | inverse problems homotopy regularization convergence |
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