Numerical Polynomial Algebra

Numerical Polynomial Algebra

Hans J. Stetter
Institute for Applied and Numerical Mathematics Vienna University of Technology
Vienna, Austria

Siam
Society for Industrial and Applied Mathematics

2004 The Society for Industrial and Applied Mathematics

10 9 8 7 6 5 4 3 2 1

All rights reserved. No part of this book may be reproduced, stored, or transmitted in any manner without the written permission of the publisher. For information, write to the Society for Industrial and Applied Mathematics, 3600 University City Science Center, Philadelphia, PA 19104-2688.

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Library of Congress Cataloging-in-Publication Data

Stetter, Hans J., 1930
Numerical Polynomial algebra / Hans J. Stetter.
p. cm.
Includes bibliographical references and index.

0-89871-557-1

(pbk.)
1. Polynomials. 2. Numerical analysis. I. Title.
QA 161.P59S74 2004
512.9 ?422-dc22 2004041691

About the cover: The cover art shows the discretized image of the variety of a pseudofactorizable polynomial in three variables; cf. Example 7.13 and Figure 7.5 for the varieties of the pseudofactors.

siam is a registered trademark.

Acknowledgments

Fifteen years ago, when I began to get interested in the numerical solving of polynomial systems, my knowledge of commutative algebra was nil. I could not have gained even modest insight into polynomial algebra represented in this book...

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