Symbolic-Numeric Computation of the Bernstein Coefficients of a Polynomial from Those of One of Its Partial Derivatives

The expansion of a given multivariate polynomial into Bernstein polynomials is considered. Matrix methods for the calculation of the Bernstein expansion of the product of two polynomials and of the Bernstein expansion of a polynomial from the expansion of

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CS 12291

(Eds.)

Computer Algebra in Scientific Computing 22nd International Workshop, CASC 2020 Linz, Austria, September 14–18, 2020 Proceedings

Lecture Notes in Computer Science Founding Editors Gerhard Goos Karlsruhe Institute of Technology, Karlsruhe, Germany Juris Hartmanis Cornell University, Ithaca, NY, USA

Editorial Board Members Elisa Bertino Purdue University, West Lafayette, IN, USA Wen Gao Peking University, Beijing, China Bernhard Steffen TU Dortmund University, Dortmund, Germany Gerhard Woeginger RWTH Aachen, Aachen, Germany Moti Yung Columbia University, New York, NY, USA

12291

More information about this series at http://www.springer.com/series/7407

François Boulier Matthew England Timur M. Sadykov Evgenii V. Vorozhtsov (Eds.) •





Computer Algebra in Scientific Computing 22nd International Workshop, CASC 2020 Linz, Austria, September 14–18, 2020 Proceedings

123

Editors François Boulier University of Lille Villeneuve d’Ascq, France

Matthew England Coventry University Coventry, UK

Timur M. Sadykov Plekhanov Russian University of Economics Moscow, Russia

Evgenii V. Vorozhtsov Institute of Theoretical and Applied Mechanics Novosibirsk, Russia

ISSN 0302-9743 ISSN 1611-3349 (electronic) Lecture Notes in Computer Science ISBN 978-3-030-60025-9 ISBN 978-3-030-60026-6 (eBook) https://doi.org/10.1007/978-3-030-60026-6 LNCS Sublibrary: SL1 – Theoretical Computer Science and General Issues © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Sadly, Andreas Weber passed away on March 15, 2020. Andreas studied mathematics and computer science at the Universities of Tübingen, Germany, and Boulder, Colorado, USA. He then worked as a postdoc at