tailieunhanh - Matrix Analysis

The book contains an introduction to matrix analysis, and to the basic algorithms of numer- ical linear algebra. Further results can be found in many text books. The book of Horn and Johnson [HJ85] is an excellent reference for theoretical results about matrix analysis; see also [Bha97]. The subject of linear algebra, and matrix analysis in particular, is treated in an original and illuminating fashion in [Lax97]. For a general introduction to the subject of numerical linear algebra we recommend the book by Trefethen and Bau [TB97]; more theoretical treatments of the subject can be found in Demmel [Dem97], Golub and Van Loan [GL96] and in. | Rajendra Bhatia Matrix Analysis Springer Rajendra Bhatia Indian Statistical Institute New Delhi 110 016 India Editorial Board s. Axler Department of Mathematics Michigan State University East Lansing MI 48824 USA . Gehring Department of Mathematics University of Michigan Ann Arbor MI 48109 USA . Halmos Department of Mathematics Santa Clara University Santa Clara CA 95053 USA Mathematics Subject Classification 1991 15-01 15A16 15A45 47A55 65F15 Library of Congress Cataloging-in-Publication Data Bhatia Rajendra 1952 Matrix analysis Rajendra Bhatia. p. cm. Graduate texts in mathematics 169 Includes bibliographical references and index. ISBN 0-387-94846-5 alk. paper 1. Matrices. I. Title. II. Series. 1996 434 dc20 96-32217 Printed on acid-free paper. 1997 Springer-Verlag New York Inc All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher Springer-Verlag New York Inc. 175 Fifth Avenue New York NY 10010 USA except for brief excerpts In connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval electronic adaptation computer software or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of general descriptive names trade names trademarks etc. in this publication even if the former are not especially identified is not to be taken as a sign that such names as understood by the Trade Marks and Merchandise Marks Act may accordingly be used freely by anyone. Production managed by Victoria Evarretta manufacturing supervised by Jeffrey Taub. Photocomposed pages prepared from the author s LaTeX files. Printed and bound by Maple-Vail Book Manufacturing Group York PA. Printed in the United States of America. 987654321 ISBN 0-387-94846-5 Springer-Verlag New York Berlin Heidelberg SPIN 10524488 Preface A good part of matrix theory is functional analytic in spirit. This statement can be .

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