Sparse solutions of underdetermined linear systems and their applications / Ming-Jun Lai, Yang Wang.

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Bibliographic Details
Online Access: Full Text (via SIAM)
Main Authors: Lai, Ming-Jun (Author), Wang, Yang, 1963- (Author)
Format: eBook
Language:English
Published: Philadelphia : Society for Industrial and Applied Mathematics, [2021]
Subjects:

MARC

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245 1 0 |a Sparse solutions of underdetermined linear systems and their applications /  |c Ming-Jun Lai, Yang Wang. 
264 1 |a Philadelphia :  |b Society for Industrial and Applied Mathematics,  |c [2021] 
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336 |a text  |b txt  |2 rdacontent. 
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504 |a Includes bibliographical references and index. 
505 0 |a Basic concepts and properties -- Various greedy algorithms -- Hard thresholding and other approaches -- Unconstrained minimization for sparse recovery -- Constrained minimization approaches -- Recoverability of sparse solutions -- RIP matrices -- Matrix completion and recovery -- Graph clustering -- Sparse phase retrieval. 
520 3 |a This textbook presents a special solution to underdetermined linear systems where the number of nonzero entries in the solution is very small compared to the total number of entries. This is called a sparse solution. Since underdetermined linear systems can be very different, the authors explain how to compute a sparse solution using many approaches. Sparse Solutions of Underdetermined Linear Systems and Their Applications contains 64 algorithms for finding sparse solutions of underdetermined linear systems and their applications for matrix completion, graph clustering, and phase retrieval; provides a detailed explanation of these algorithms including derivations and convergence analysis; and includes exercises for each chapter to help readers understand the material. This textbook is appropriate for graduate students in math and applied math, computer science, statistics, data science, and engineering. Advisors and postdoctoral scholars will also find the book interesting and useful. 
588 |a Description based on print version record and CIP data provided by publisher. 
650 0 |a Sparse matrices.  |0 http://id.loc.gov/authorities/subjects/sh85126327. 
650 0 |a Linear systems.  |0 http://id.loc.gov/authorities/subjects/sh85077183. 
650 7 |a Linear systems.  |2 fast  |0 (OCoLC)fst00999098. 
650 7 |a Sparse matrices.  |2 fast  |0 (OCoLC)fst01128743. 
700 1 |a Wang, Yang,  |d 1963-  |e author.  |0 http://id.loc.gov/authorities/names/no2021029733. 
776 0 8 |i Print version:  |a Lai, Ming-Jun.  |t Sparse solutions of underdetermined linear systems and their applications  |d Philadelphia : Society for Industrial and Applied Mathematics, [2021]  |z 9781611976502  |w (DLC) 2021002903. 
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