| 算子和数据均有扰动的不适定方程的隐式迭代法 |
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| 引用本文： | 贺国强.算子和数据均有扰动的不适定方程的隐式迭代法[J].上海大学学报(英文版),2000,4(2). |
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| 作者姓名： | 贺国强 |
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| 作者单位： | HE Guo qiang College of Sciences，Shanghai University，Shanghai 200436，China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina!
( 196710 5 0 ) |
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| 摘 要： | 1 Ｉｎｔｒｏｄｕｃｔｉｏｎ ＬｅｔＸ ,ＹｂｅｔｗｏＨｉｌｂｅｒｔｓｐａｃｅｓａｎｄｌｅｔＡｂｅａｂｏｕｎｄｅｄｌｉｎｅａｒｏｐｅｒａｔｏｒ,ｉ.ｅ .,Ａ∈Ｂ(Ｘ ,Ｙ) .Ｃｏｎｓｉｄ ｅｒｔｈｅｏｐｅｒａｔｏｒｅｑｕａｔｉｏｎＡｘ=ｙ . (1)ＩｆＲ(Ａ) ,ｔｈｅｒａｎｇｅｏｆＡ ,ｉｓｎｏｎｃｌｏｓｅｄｉｎＹ ,Ｅｑ .(1)ｉｓｉｌｌ ｐｏｓｅｄ1] .Ｍａｎｙｉｍｐｏｒｔａｎｔｐｒｏｂｌｅｍｓｉｎａｐｐｌｉｅｄｓｃｉ ｅｎｃｅｓｒｅｓｕｌｔｉｎｔｈｉｓｋｉｎｄｏｆｅｑｕａｔｉｏｎｓ2 ,3] .Ｉｎｔｈｉｓｐａｐｅｒｗｅｃ…
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Implicit Iterative Method for Ill-Posed Equations with Perturbed Operators and Data |
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| HE Guo-qiang.Implicit Iterative Method for Ill-Posed Equations with Perturbed Operators and Data[J].Journal of Shanghai University(English Edition),2000,4(2). |
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| Authors: | HE Guo-qiang |
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| Abstract: | In this paper, the author applied an implicit iterative method to solve linear ill posed equations with both perturbed operators and perturbed data. After having carefully estimated some terms involved, a satisfactory order of convergence rate was derived. |
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| Keywords: | ill posed equations implicit iterative method convergence rates |
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