| 一类不适定问题具备停止规则的简化迭代技巧 |
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| 引用本文： | 朱佑彬,傅初黎,邱春雨. 一类不适定问题具备停止规则的简化迭代技巧[J]. 兰州大学学报(自然科学版), 2002, 38(2): 1-6 |
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| 作者姓名： | 朱佑彬 傅初黎 邱春雨 |
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| 作者单位： | 兰州大学,数学系,甘肃,兰州,730000 |
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| 基金项目： | 国家自然科学基金资助项目 (49875 0 24 ) |
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| 摘 要： | 提出自共轭半正定紧算子具备停止规则的简化迭代技巧 ,通过自共轭紧算子特有的特征系统建立迭代法 ,得到最优收敛速度 ,与传统的迭代法相比较 ,它有计算方面的优势 .文中还给出了数值例子的逼近结果 ,可以看出效果相当好
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| 关 键 词： | 反问题 正则化 迭代法 特征系统 梯形法则 辛浦生法则 |
| 文章编号： | 0455-2059(2002)02-0001-06 |
| 修稿时间： | 2001-08-06 |
Simplified Landweber iteration with stopping rule for a class of ill-posed problems |
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| ZHU You-bin,FU Chuli,QIU Chunyu. Simplified Landweber iteration with stopping rule for a class of ill-posed problems[J]. Journal of Lanzhou University(Natural Science), 2002, 38(2): 1-6 |
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| Authors: | ZHU You-bin FU Chuli QIU Chunyu |
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| Abstract: | The simplified Landweber iteration with stopping rule for a positive semi-definite,compact and self-adjoint operator equation is proposed.By special system of compact and self-adjoint operator-eigen-system,our simplified iteration strategy is presented and optimal convergence rate obtained.Finally,a numerical example is included to show the high accuracy of the method,which has great computational advantages over the traditional one. |
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| Keywords: | inverse problem regularization iteration eigen-system trapezoidal rule Simpson's rule |
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