Sparse Solutions of Underdetermined Linear Systems and Their Applications

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Release : 2021-06-25
Genre : Mathematics
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Book Rating : 510/5 ( reviews)

Sparse Solutions of Underdetermined Linear Systems and Their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sparse Solutions of Underdetermined Linear Systems and Their Applications write by Ming-Jun Lai . This book was released on 2021-06-25. Sparse Solutions of Underdetermined Linear Systems and Their Applications available in PDF, EPUB and Kindle. 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 and provides a detailed explanation of these algorithms including derivations and convergence analysis. Exercises for each chapter 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.

Sparse Solutions of Underdetermined Linear Systems and Their Applications

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Author :
Release : 2021
Genre : Linear systems
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Book Rating : 502/5 ( reviews)

Sparse Solutions of Underdetermined Linear Systems and Their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sparse Solutions of Underdetermined Linear Systems and Their Applications write by Ming-Jun Lai. This book was released on 2021. Sparse Solutions of Underdetermined Linear Systems and Their Applications available in PDF, EPUB and Kindle.

Iterative Methods for Sparse Linear Systems

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Release : 2003-04-01
Genre : Mathematics
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Book Rating : 342/5 ( reviews)

Iterative Methods for Sparse Linear Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Iterative Methods for Sparse Linear Systems write by Yousef Saad. This book was released on 2003-04-01. Iterative Methods for Sparse Linear Systems available in PDF, EPUB and Kindle. Mathematics of Computing -- General.

Direct Methods for Sparse Linear Systems

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Release : 2006-09-01
Genre : Computers
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Book Rating : 136/5 ( reviews)

Direct Methods for Sparse Linear Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Direct Methods for Sparse Linear Systems write by Timothy A. Davis. This book was released on 2006-09-01. Direct Methods for Sparse Linear Systems available in PDF, EPUB and Kindle. The sparse backslash book. Everything you wanted to know but never dared to ask about modern direct linear solvers. Chen Greif, Assistant Professor, Department of Computer Science, University of British Columbia.Overall, the book is magnificent. It fills a long-felt need for an accessible textbook on modern sparse direct methods. Its choice of scope is excellent John Gilbert, Professor, Department of Computer Science, University of California, Santa Barbara.Computational scientists often encounter problems requiring the solution of sparse systems of linear equations. Attacking these problems efficiently requires an in-depth knowledge of the underlying theory, algorithms, and data structures found in sparse matrix software libraries. Here, Davis presents the fundamentals of sparse matrix algorithms to provide the requisite background. The book includes CSparse, a concise downloadable sparse matrix package that illustrates the algorithms and theorems presented in the book and equips readers with the tools necessary to understand larger and more complex software packages.With a strong emphasis on MATLAB and the C programming language, Direct Methods for Sparse Linear Systems equips readers with the working knowledge required to use sparse solver packages and write code to interface applications to those packages. The book also explains how MATLAB performs its sparse matrix computations.Audience This invaluable book is essential to computational scientists and software developers who want to understand the theory and algorithms behind modern techniques used to solve large sparse linear systems. The book also serves as an excellent practical resource for students with an interest in combinatorial scientific computing.Preface; Chapter 1: Introduction; Chapter 2: Basic algorithms; Chapter 3: Solving triangular systems; Chapter 4: Cholesky factorization; Chapter 5: Orthogonal methods; Chapter 6: LU factorization; Chapter 7: Fill-reducing orderings; Chapter 8: Solving sparse linear systems; Chapter 9: CSparse; Chapter 10: Sparse matrices in MATLAB; Appendix: Basics of the C programming language; Bibliography; Index.

Introduction to Applied Linear Algebra

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Release : 2018-06-07
Genre : Business & Economics
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Book Rating : 965/5 ( reviews)

Introduction to Applied Linear Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Applied Linear Algebra write by Stephen Boyd. This book was released on 2018-06-07. Introduction to Applied Linear Algebra available in PDF, EPUB and Kindle. A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.