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Sparse Solutions of Underdetermined Linear Systems, Ming-Jun Lai, Yang Wang


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Автор: Ming-Jun Lai, Yang Wang
Название:  Sparse Solutions of Underdetermined Linear Systems
ISBN: 9781611976502
Издательство: Mare Nostrum (Eurospan)
Классификация:







ISBN-10: 1611976502
Обложка/Формат: Paperback
Страницы: 437
Вес: 0.96 кг.
Дата издания: 30.07.2021
Серия: Other titles in applied mathematics
Язык: English
Размер: 178 x 256 x 12
Ключевые слова: Algebraic geometry,Applied mathematics,Linear programming,Numerical analysis,Optimization,Probability & statistics
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Поставляется из: Англии
Описание: This textbook presents a special solution of 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 sparse solution. As underdetermined linear systems can be very different, the authors explain how to compute a sparse solution by many approaches.Sparse Solutions of Underdetermined Linear Systems:Contains 72 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.Includes exercises for each chapter to help the reader understand the material.This textbook is appropriate for graduate students in math and applied math, computer science, statistics, data science, and engineering. Advisors and postdocs will also find the book of interest.It is appropriate for the following courses: Advanced Numerical Analysis, Special Topics on Numerical Analysis, Topics on Data Science, Topics on Numerical Optimization, and Topics on Approximation Theory.
Дополнительное описание: Applied mathematics|Numerical analysis|Algebraic geometry|Probability and statistics|Optimization|Linear programming



Iterative Methods for Sparse Linear Systems, 2 ed.

Автор: Saad, Yousef
Название: Iterative Methods for Sparse Linear Systems, 2 ed.
ISBN: 0898715342 ISBN-13(EAN): 9780898715347
Издательство: Wiley
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Цена: 27034.00 р.
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Описание: This second edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations.

Compressed Sensing & Sparse Filtering

Автор: Avishy Y. Carmi; Lyudmila Mihaylova; Simon J. Gods
Название: Compressed Sensing & Sparse Filtering
ISBN: 3642383971 ISBN-13(EAN): 9783642383977
Издательство: Springer
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Цена: 27950.00 р.
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Описание: This book presents fundamental concepts, methods and algorithms able to cope with undersampled data. It introduces the concept of compressive sampling, which is also called compressed sensing.

New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing, and Multifractal Analysis

Автор: Aldroubi Akram, Cabrelli Carlos, Jaffard Stephane
Название: New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing, and Multifractal Analysis
ISBN: 3319802321 ISBN-13(EAN): 9783319802329
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis:Sparse Representations, Compressed Sensing and Multifractal Analysis".

Sparse Grids and Applications - Miami 2016

Автор: Jochen Garcke; Dirk Pfl?ger; Clayton G. Webster; G
Название: Sparse Grids and Applications - Miami 2016
ISBN: 3030092275 ISBN-13(EAN): 9783030092276
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Sparse grids are a popular tool for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different flavors, are frequently the method of choice. This volume of LNCSE presents selected papers from the proceedings of the fourth workshop on sparse grids and applications, and demonstrates once again the importance of this numerical discretization scheme. The articles present recent advances in the numerical analysis of sparse grids in connection with a range of applications including computational chemistry, computational fluid dynamics, and big data analytics, to name but a few.

Sparse grids and applications - stuttgart 2014

Название: Sparse grids and applications - stuttgart 2014
ISBN: 3319282603 ISBN-13(EAN): 9783319282602
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different guises, are frequently the method of choice, be it spatially adaptive in the hierarchical basis or via the dimensionally adaptive combination technique.

Direct Methods for Sparse Matrices

Автор: O. Osterby; Z. Zlatev
Название: Direct Methods for Sparse Matrices
ISBN: 3540126767 ISBN-13(EAN): 9783540126768
Издательство: Springer
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Цена: 2794.00 р.
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Sparse Grids and Applications

Автор: Jochen Garcke; Michael Griebel
Название: Sparse Grids and Applications
ISBN: 3642426603 ISBN-13(EAN): 9783642426605
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This volume of LNCSE is a collection of the papers from the proceedings of the workshop on sparse grids and its applications held in Bonn in May 2011. The selected articles present recent advances in the mathematical understanding and analysis of sparse grid discretization.

Iterative Solution of Large Sparse Systems of Equations

Автор: Hackbusch
Название: Iterative Solution of Large Sparse Systems of Equations
ISBN: 3319284819 ISBN-13(EAN): 9783319284811
Издательство: Springer
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Цена: 18167.00 р.
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Описание:

In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature.
The necessary amount of work increases dramatically with the size of systems, so one has to search for algorithms that most efficiently and accurately solve systems of, e.g., several million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly zeroes) and well-suited to iterative algorithms.
The first edition of this book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics. The second edition includes quite novel approaches.
Iterative Solution of Large Sparse Systems of Equations

Автор: Wolfgang Hackbusch
Название: Iterative Solution of Large Sparse Systems of Equations
ISBN: 1461287243 ISBN-13(EAN): 9781461287247
Издательство: Springer
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Цена: 12577.00 р.
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Large Sparse Numerical Optimization

Автор: T. F. Coleman
Название: Large Sparse Numerical Optimization
ISBN: 3540129146 ISBN-13(EAN): 9783540129141
Издательство: Springer
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Цена: 2794.00 р.
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Sparse Grids and Applications - Munich 2012

Автор: Jochen Garcke; Dirk Pfl?ger
Название: Sparse Grids and Applications - Munich 2012
ISBN: 3319045369 ISBN-13(EAN): 9783319045368
Издательство: Springer
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Цена: 20263.00 р.
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Описание: Sparse grids have gained increasing interest in recent years for the numerical treatment of high-dimensional problems.

Cohesive Subgraph Computation over Large Sparse Graphs

Автор: Lijun Chang; Lu Qin
Название: Cohesive Subgraph Computation over Large Sparse Graphs
ISBN: 3030035980 ISBN-13(EAN): 9783030035983
Издательство: Springer
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Цена: 6986.00 р.
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Описание:

This book is considered the first extended survey on algorithms and techniques for efficient cohesive subgraph computation. With rapid development of information technology, huge volumes of graph data are accumulated. An availability of rich graph data not only brings great opportunities for realizing big values of data to serve key applications, but also brings great challenges in computation. Using a consistent terminology, the book gives an excellent introduction to the models and algorithms for the problem of cohesive subgraph computation. The materials of this book are well organized from introductory content to more advanced topics while also providing well-designed source codes for most algorithms described in the book.
This is a timely book for researchers who are interested in this topic and efficient data structure design for large sparse graph processing. It is also a guideline book for new researchers to get to know the area of cohesive subgraph computation.

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