书目名称 | Sparse Approximation with Bases |
编辑 | Vladimir Temlyakov,Sergey Tikhonov |
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概述 | Features a thorough introduction into a new area of research (greedy approximation).Deals with numerous applications.Recent fundamental results are combined with previous results to build the theory o |
丛书名称 | Advanced Courses in Mathematics - CRM Barcelona |
图书封面 |  |
描述 | .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. |
出版日期 | Textbook 2015 |
关键词 | Banach spaces; Greedy algorithms; Lebesgue-type inequalities; nonlinear approximation; sparse approximat |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-0348-0890-3 |
isbn_softcover | 978-3-0348-0889-7 |
isbn_ebook | 978-3-0348-0890-3Series ISSN 2297-0304 Series E-ISSN 2297-0312 |
issn_series | 2297-0304 |
copyright | Springer Basel 2015 |