Engineering and Scientific Computing with Scilab

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Engineering and Seientifie Computing with Seilab Claude Gomez (Coordinating Editor) Carey Bunks Jean-Philippe Chancelier Fran~ois Delebecque Mauriee Goursat Ramine Nikoukhah Serge Steer

With Over 100 Illustrations and a CD-ROM

Springer-Science+Business Media, LLC

Claude Gomez (Coordinating Editor) INRIA Rocquencourt 78153 Le Chesnay Cedex France

Carey Bunks BBN Technologies Cambridge, MA 02138 USA

Jean-Philippe Chancelier CERGRENE Ecole Nationale des Ponts et Chaussees 77455 Mame LaVallee Cedex 02 France

Fran~ois Delebecque INRIA Rocquencourt 78153 Le Chesnay Cedex France

Maurice Goursat INRIA Rocquencourt 78153 Le Chesnay Cedex France

Ramine Nikoukhah INRIA Rocquencourt 78153 Le Chesnay Cedex France

Serge Steer INRIA Rocquencourt 78153 Le Chesnay Cedex France

Library of Congress Cataloging-in-Publication Data

Engineering and scientific computing with Scilab I CI aude Gomez, editor. p. cm.

Additional material to this book can be downloaded from http://extras.springer.com. ISBN 978-1-4612-7204-5 ISBN 978-1-4612-1584-4 (eBook) DOI 10.1007/978-1-4612-1584-4 1. Engineering-Computer programs. 2. Science-Computer programs. 3. Scilab. 1. Gomez, Claude, 1955TA345.E5475 1998 620' .OO285-DC21

98-16928 CIP

AMS Subject Classifications: 49, 93 Printed on acid-free paper. © 1999 Springer Science+Business Media New York Originally published by BirkhAuser Boston in 1999 Softcover reprint ofthe hardcover lst edition 1999

AII rights reserved. This work may not be translated or copied in whole or in pan without the written permission of the publisher Springer Science+Business Media, LLC. 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 Tra!le Marks and Merchandise Marks Act, may accordingly be used freely by anyone.

ISBN 978-1-4612-7204-5 Typeset by the authors in U'IEX.

9 8 7 6 5 4 3 2 I

Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..

xiii

List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..

xix

List of Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. xxv

I The ScHab Package . . . . . . . . . . . . . . . . . . . . . . .. 1

Introduc:tion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1 What Is Sci1ab? . . . . . . . . . . . . . . . . . . . . . . . . . .

1 3

1.2 Getting Started . . . . . . . . . . . . . . . . . . . . . . . . . .

3 7

2 The Scilab Language. . . . . . . . . . . . . . . . . . . . . . . . .. 2.1 Constants.............................. 2.1.1 Real Numbers. . . . . . . . . . . . . . . . . . . . . .. 2.1.2 Complex Numbers . . . . . . . . . . . . . . . . . . .. 2.1.3 Char