Nonsmooth Global Optimization
What can interval analysis do for Nonsmooth Global Optimization?
- PDF / 29,084,015 Bytes
- 344 Pages / 481.92 x 691.68 pts Page_size
- 52 Downloads / 215 Views
Springer-Verlag Wien GmbH
Prof. Or. Ulrich Kulisch Priv.-Ooz. Or. RudolfLohner Dr. Axei Facius Institut tUr Angewandte Mathematik, Oeutschland
Universităt
Karlsruhe,
This work is subject to copyright. AII rights are reserved, whether the whole or part of the material is concemed, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machi nes or similar means, and storage in data banks. © 2001 Springer-Verlag Wien Originally published by Springer-Verlag/Wien in 2001
Product Liability: The publisher can give no guarantee for aII the information contained in this book. This does also refer to information about drug dosage and application thereof. In every individual case the respective user must check its accuracy by consulting other pharmaceutical literature. The use of registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statemcnt, that such names are exempt from the relevant protective laws and regulations and thcrefore free for general use. Cover illustration: Double bubble image © 1995 by John M. Sullivan, University of Illinois Typesetting: Camera-ready by authors
Printed on acid-frec and chlorine-free bleached paper SPIN : 10835368 With numerous Figurcs CIP data applied for
ISBN 978-3-211-83590-6 ISBN 978-3-7091-6282-8 (eBook) DOI 10.1007/978-3-7091-6282-8
To Gotz Alefeld on the occasion of his
60 th birthday.
Preface
Interval mathematics and enclosure methods have been developed to a high standard during the last decades together with their side effects on the arithmetic of computers, on programming languages and compilers, on the elementary functions and the run time system. A good number of meetings, the SCAN meetings in particular, have been devoted to this area. The latest of these meetings: scan2000 - GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics was held at Universitat Karlsruhe (TH), September 19-22, 2000 jointly with INTERVAL 2000 - International Conference on Interval Methods in Science and Engineering. The conference attracted 193 participants from 33 countries from all over the world. 12 invited lectures and 153 contributed talks were given at the symposium. This volume contains selected papers on enclosure methods and validated numerics. The majority of contributions is based on invited lectures delivered at the scan2000 conference. These contributions are supplemented by a few selected additional papers. All papers represent original work following the common goal to push the limits of enclosure methods forward. We wish to thank all authors for their contributions and for adapting their manuscripts to the goals of this volume. The editors and authors dedicate this volume to Prof. Gotz Alefeld on the occasion of his 60th birthday. He has been among the leaders in the field for decades. The development of enclosure methods owes many outstanding contributions to him. His work shaped our current understanding of interva
