Structured Matrices in Numerical Linear Algebra Analysis, Algorithms
This book gathers selected contributions presented at the INdAM Meeting Structured Matrices in Numerical Linear Algebra: Analysis, Algorithms and Applications, held in Cortona, Italy on September 4-8, 2017. Highlights cutting-edge research on Structured M
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Dario Andrea Bini Fabio Di Benedetto Eugene Tyrtyshnikov Marc Van Barel Editors
Structured Matrices in Numerical Linear Algebra Analysis, Algorithms and Applications
Springer INdAM Series Volume 30
Editor-in-Chief G. Patrizio
Series Editors C. Canuto G. Coletti G. Gentili A. Malchiodi P. Marcellini E. Mezzetti G. Moscariello T. Ruggeri
More information about this series at http://www.springer.com/series/10283
Dario Andrea Bini • Fabio Di Benedetto • Eugene Tyrtyshnikov • Marc Van Barel Editors
Structured Matrices in Numerical Linear Algebra Analysis, Algorithms and Applications
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Editors Dario Andrea Bini Department of Mathematics University of Pisa Pisa, Italy
Fabio Di Benedetto Department of Mathematics University of Genoa Genoa, Italy
Eugene Tyrtyshnikov Institute of Numerical Mathematics Russian Academy of Sciences Moscow, Russia
Marc Van Barel Department of Computer Science KU Leuven Heverlee, Belgium
ISSN 2281-518X ISSN 2281-5198 (electronic) Springer INdAM Series ISBN 978-3-030-04087-1 ISBN 978-3-030-04088-8 (eBook) https://doi.org/10.1007/978-3-030-04088-8 Library of Congress Control Number: 2019936552 © Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
Solving a mathematical model, by means of computational techniques in general or more specifically by means of numerical analysis, is ultimately reduced to solving problems in linear algebra. In fact, very often models are linear by their nature, while sometimes they are nonlinear but their solution is achieved by means of linearization. This to some extent explains why numerical linear algebra and matrix analysis have undergone such extensive development in recent decades.
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