| A UNIFIED TREATMENT OF REGULARIZATION METHODS FOR LINEAR ILL-POSED PROBLEMS |
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| 作者姓名： | Jin Qinian |
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| 作者单位： | Institute of Mathematics, Nanjing University, Nanjing 210093, PRC |
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| 摘 要： | 1 ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔＡ :Ｘ→ＹｂｅａｂｏｕｎｄｅｄｌｉｎｅａｒｏｐｅｒａｔｏｒｂｅｔｗｅｅｎＨｉｌｂｅｒｔｓｐａｃｅｓＸａｎｄＹ ,ａｎｄｌｅｔＡ ｄｅ ｎｏｔｅｔｈｅＭｏｏｒｅ ＰｅｎｒｏｓｅｇｅｎｅｒａｌｉｚｅｄｉｎｖｅｒｓｅｏｆＡ (ｃｆ.4 ]) .Ｔｈｉｓｐａｐｅｒｃｏｎｃｅｒｎｓｔｈｅｒｅｓｏｌｕｔｉｏｎｏｆｔｈｅｇｅｎｅｒａｌｉｚｅｄｓｏｌｕｔｉｏｎｘ :=Ａ ｙ0 ｏｆｔｈｅｅｑｕａｔｉｏｎＡｘ=ｙ0 (1.1)ｗｉｔｈｙ0 ∈Ｄ(Ａ ) :=Ｒ(Ａ) +Ｒ(Ａ) ⊥,ｗｈｅｒｅＤ(Ａ )ａｎｄＲ(Ａ)ｄｅｎｏｔ…
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| 关 键 词： | Linear ill-posed problems regularization methods a posteriori parameter choice |
A UNIFIED TREATMENT OF REGULARIZATION METHODS FOR LINEAR ILL-POSED PROBLEMS |
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| Jin Qinian.A UNIFIED TREATMENT OF REGULARIZATION METHODS FOR LINEAR ILL-POSED PROBLEMS[J].Numerical Mathematics A Journal of Chinese Universities English Series,2000,9(1):111-120. |
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| Authors: | Jin Qinian |
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| Institution: | Institute of Mathematics, Nanjing University, Nanjing 210093, PRC |
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| Abstract: | By presenting a general framework, some regularization methods for solving linear ill-posed problems are considered in a unified manner. Applications to some specific approaches are illustrated. |
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| Keywords: | Linear ill posed problems regularization methods a posteriori parameter choice |
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