書目名稱 | Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization | 副標(biāo)題 | New Results in Moder | 編輯 | Jens Flemming | 視頻video | http://file.papertrans.cn/981/980618/980618.mp4 | 概述 | Presents recent research results in a consistent notation.Contributes to two very active fields of research.Shows that variational source condition always yields convergence rate results | 叢書名稱 | Frontiers in Mathematics | 圖書封面 |  | 描述 | The book collects and contributes new results on the theory and practice of ill-posed inverse?problems.?.Different notions of ill-posedness in Banach spaces for linear and nonlinear inverse problems are?discussed not only in standard settings but also in situations up to now not covered by the literature.?Especially, ill-posedness of linear operators with uncomplemented null spaces is examined..Tools for convergence rate analysis of regularization methods are extended to a wider field of?applicability. It is shown that the tool known as variational source condition always yields?convergence rate results.?.A theory for nonlinear inverse problems with quadratic structure is developed as well as?corresponding regularization methods. The new methods are applied to a difficult inverse problem?from laser optics..Sparsity promoting regularization is examined in detail from a Banach space point of view. Extensive?convergence analysis reveals new insights into the behavior of Tikhonov-type regularization with?sparsity enforcing penalty.. | 出版日期 | Book 2018 | 關(guān)鍵詞 | inverse problem; ill-posedness; variational source condition; quadratic inverse problem; autoconvolution | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-95264-2 | isbn_softcover | 978-3-319-95263-5 | isbn_ebook | 978-3-319-95264-2Series ISSN 1660-8046 Series E-ISSN 1660-8054 | issn_series | 1660-8046 | copyright | Springer Nature Switzerland AG 2018 |
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書目名稱Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization影響因子(影響力) 
書目名稱Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization影響因子(影響力)學(xué)科排名 
書目名稱Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization網(wǎng)絡(luò)公開度 
書目名稱Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization網(wǎng)絡(luò)公開度學(xué)科排名 
書目名稱Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization被引頻次 
書目名稱Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization被引頻次學(xué)科排名 
書目名稱Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization年度引用 
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書目名稱Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization讀者反饋 
書目名稱Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization讀者反饋學(xué)科排名 
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