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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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 |
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Thư viện Trường Đại học Đà Lạt |
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Thư viện số |
language |
English |
topic |
Expansions Approximations Mathematics Approximation theory |
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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 |
_version_ |
1782550447053078528 |