Includes bibliographical references (pages 395-402) and index
CONTENTS NOTE
Text of Note
Introduction -- Error, stability and conditioning -- Direct methods for solving linear systems -- Iterative methods for solving linear systems -- Calculations of eigenvalues -- Methods for large sparse systems -- Methods for large dense systems -- Preconditioning -- Compressed sensing
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SUMMARY OR ABSTRACT
Text of Note
This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject. It includes standard material such as direct methods for solving linear systems and least-squares problems, error, stability and conditioning, basic iterative methods and the calculation of eigenvalues. Later chapters cover more advanced material, such as Krylov subspace methods, multigrid methods, domain decomposition methods, multipole expansions, hierarchical matrices and compressed sensing. The book provides rigorous mathematical proofs throughout, and gives algorithms in general-purpose language-independent form. Requiring only a solid knowledge in linear algebra and basic analysis, this book will be useful for applied mathematicians, engineers, computer scientists, and all those interested in efficiently solving linear problems
TOPICAL NAME USED AS SUBJECT
Entry Element
Algebras, Linear
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA184
.
2
Book number
.
W46
2018
PERSONAL NAME - PRIMARY RESPONSIBILITY
Wendland, Holger, 1968-
ORIGINATING SOURCE
Country
Iran
Agency
University of Tehran. Library of College of Science