Sparse Solutions of Underdetermined Linear Systems and Their Applications
Ming-Jun Lai, University of Georgia;
Yang Wang, Hong Kong University of Science and Technology
SIAM, 2021
ISBN: 978-1-61197-650-2;
Language: English
Sparse Solutions of Underdetermined Linear Systems and Their Applications 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.
Features
- 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. MATLAB is used throughout the book.
