Sparse Approximation with Bases

This book systematically presents recent fundamental results on greedy approximation with respect to bases. Motivated by numerous applications, the last decade has seen great successes in studying nonlinear sparse approximation. Recent findings have established that greedy-type algorithms are suita...

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Những tác giả chính: Temlyakov, Vladimir, Tikhonov, Sergey
Định dạng: Sách
Ngôn ngữ:English
Được phát hành: Springer 2015
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Truy cập trực tuyến:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58399
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spelling oai:scholar.dlu.edu.vn:DLU123456789-583992023-11-11T06:10:19Z Sparse Approximation with Bases Temlyakov, Vladimir Tikhonov, Sergey Expansions Approximations Mathematics Approximation theory This book systematically presents recent fundamental results on greedy approximation with respect to bases. Motivated by numerous applications, the last decade has seen great successes in studying nonlinear sparse approximation. Recent findings have established that greedy-type algorithms are suitable methods of nonlinear approximation in both sparse approximation with respect to bases and sparse approximation with respect to redundant systems. These insights, combined with some previous fundamental results, form the basis for constructing the theory of greedy approximation. Taking into account the theoretical and practical demand for this kind of theory, the book systematically elaborates a theoretical framework for greedy approximation and its applications. The book addresses the needs of researchers working in numerical mathematics, harmonic analysis, and functional analysis. It quickly takes the reader from classical results to the latest frontier, but is written at the level of a graduate course and does not require a broad background in the field. 2015-09-21T07:48:39Z 2015-09-21T07:48:39Z 2015 Book 978-3-0348-0890-3 978-3-0348-0889-7 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58399 en application/pdf Springer
institution Thư viện Trường Đại học Đà Lạt
collection Thư viện số
language English
topic Expansions
Approximations
Mathematics
Approximation theory
spellingShingle Expansions
Approximations
Mathematics
Approximation theory
Temlyakov, Vladimir
Tikhonov, Sergey
Sparse Approximation with Bases
description This book systematically presents recent fundamental results on greedy approximation with respect to bases. Motivated by numerous applications, the last decade has seen great successes in studying nonlinear sparse approximation. Recent findings have established that greedy-type algorithms are suitable methods of nonlinear approximation in both sparse approximation with respect to bases and sparse approximation with respect to redundant systems. These insights, combined with some previous fundamental results, form the basis for constructing the theory of greedy approximation. Taking into account the theoretical and practical demand for this kind of theory, the book systematically elaborates a theoretical framework for greedy approximation and its applications. The book addresses the needs of researchers working in numerical mathematics, harmonic analysis, and functional analysis. It quickly takes the reader from classical results to the latest frontier, but is written at the level of a graduate course and does not require a broad background in the field.
format Book
author Temlyakov, Vladimir
Tikhonov, Sergey
author_facet Temlyakov, Vladimir
Tikhonov, Sergey
author_sort Temlyakov, Vladimir
title Sparse Approximation with Bases
title_short Sparse Approximation with Bases
title_full Sparse Approximation with Bases
title_fullStr Sparse Approximation with Bases
title_full_unstemmed Sparse Approximation with Bases
title_sort sparse approximation with bases
publisher Springer
publishDate 2015
url https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58399
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