文档介绍:Springer Series in 35
Computational
Mathematics
Editorial Board
R. Bank
. Graham
J. Stoer
R. Varga
H. Yserentant
Peter Deuflhard
Newton Methods
for Nonlinear Problems
AffineInvarianceandAdaptiveAlgorithms
With 49 Figures
123
Peter Deuflhard
Zuse Institute Berlin (ZIB)
Takustr. 7
14195 Berlin, Germany
and
Freie Universität Berlin
Dept. of Mathematics puter Science
deufl******@
Mathematics Subject Classification (2000): 65-01, 65-02, 65F10, 65F20,
65H10, 65H20, 65J15, 65L10, 65L60, 65N30, 65N55, 65P30
ISSN 0179-3632
ISBN 978-3-540-21099-7 (hardcover) e-ISBN 978-3-642-23899-4
ISBN 978-3-642-23898-7 (softcover)
DOI -3-642-23899-4
Springer Heidelberg Dordrecht London New York
Library of Congress Control Number: 2011937965
© Springer-Verlag Berlin Heidelberg 2004, Corrected printing 2006, First softcover
printing 2011.
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: deblik, Berlin
Printed on acid-free paper
Springer is part of Springer Science+Business Media ()
Preface
In 1970, my former academic teacher Roland Bulirsch gave an exercise to
his students, which indicated the fascinating invariance o