Proceedings of the Conference on Applied Mathematics and Scientific Computing
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Proceedings of the Conference on Applied Mathematics and Scientific Computing Edited by
ZLATKO DRMAý University of Zagreb, Croatia
MILJENKO MARUŠIû University of Zagreb, Croatia and
ZVONIMIR TUTEK University of Zagreb, Croatia
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 1-4020-3196-3 (HB) ISBN 1-4020-3197-1 (e-book)
Published by Springer, P.O. Box 17, 3300 AA Dordrecht, The Netherlands. Sold and distributed in North, Central and South America by Springer, 101 Philip Drive, Norwell, MA 02061, U.S.A. In all other countries, sold and distributed by Springer, P.O. Box 322, 3300 AH Dordrecht, The Netherlands.
Printed on acid-free paper
All Rights Reserved © 2005 Springer No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Printed in the Netherlands.
Preface
The Third Conference on Applied Mathematics and Scientific Computing took place June 23-27, 2003 on island of Brijuni, Croatia. The main goal of the conference was to interchange ideas among applied mathematicians in the broadest sense both from and outside academia, as well as experts from other areas who apply different mathematical techniques. During the meeting there were invited and contributed talks and software presentations. Invited presentations were given by active researchers from the fields of approximation theory, numerical methods for differential equations and numerical linear algebra. These proceedings contain research and review papers by invited speakers and selected contributed papers from the fields of applied and numerical mathematics. A particular aim of the conference was to encourage young scientists to present results of their research. Traditionally, the best presentation given by PhD student was rewarded. This year awardee was Luka Grubiˇsˇic´ (University of Hagen, Hagen, Germany) and we congratulate him for this achievement. It would be hard to organize the conference without generous support of the Croatian Ministry of Science and Technology and we acknowledge it. We are also indebted to the main organizer, Department of Mathematics, University of Zagreb. Motivating beautiful nature should be also mentioned. And, at the end, we are thankful to Drs. Josip Tambaˇcˇ a and Ivica Nakic´ for giving this book its final shape. ˇ C ´ MILJENKO MARUSI
ZLATKO DRMACˇ ZVONIMIR TUTEK
Contents
Preface Part I
v Invited lectures
Skew-Hamiltonian and Hamiltonian Eigenvalue Problems: Theory, Algorithms and Applications 3 Peter Benner, r Daniel Kressner, r Volker Mehrmann 5 1 Preliminaries 2 The Skew-Hamiltonian Eigenvalue Problem 8 3 The Hamiltonian Eigenvalue Problem 18 4 Applications 30 5 Concluding Remarks 34 Acknowledgments
34
References
35
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