Matrix Iterative Analysis

This is the softcover reprint of a very popular hardcover edition, a revised version of the first edition, originally published by Prentice Hall in 1962 and regarded as a classic in its field. In some places, newer research results, e.g. results on weak r

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Richard S. Varga

M atrix Iterative A nalysis

Second Revised and Expanded Edition With 42 Figures

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Richard S. Varga Institute of Computational Mathematics K ent State University K ent, OH 44242, USA [email protected]

ISSN 0179-3632 ISBN 978-3-540-66321-8 (hardcover) ISBN 978-3-642-05154-8 (softcover) DOI 10.1007/978-3-642-05156-2

e-ISBN 978-3-642-05156-2

Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2009942152 Mathematics Subject Classification (1991): 15A60, 15A48, 15A06, 41A21, 41A20, 41A10, 65F10 39A10 © Springer-Verlag Berlin Heidelberg 2000, First softcover printing 2009 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Cover design: SPi Publisher Services Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)