Analysis, Modelling, Optimization, and Numerical Techniques ICAMI, S

​​This book highlights recent compelling research results and trends in various aspects of contemporary mathematics, emphasizing applications to real-world situations. The chapters present exciting new findings and developments in situations where mathema

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This book series features volumes composed of select contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today.

More information about this series at http://www.springer.com/series/10533

Gerard Olivar Tost • Olga Vasilieva Editors

Analysis, Modelling, Optimization, and Numerical Techniques ICAMI, San Andres Island, Colombia, November 2013

Editors Gerard Olivar Tost Universidad Nacional de Colombia Department of Electric, Electronic and Computer Science Manizales Colombia

Olga Vasilieva Department of Mathematics Universidad del Valle Cali Colombia

ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-3-319-12582-4 ISBN 978-3-319-12583-1 (eBook) DOI 10.1007/978-3-319-12583-1 Library of Congress Control Number: 2015933271 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 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, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Contents

Augmented Lagrangian Method for Optimal Control Problems . . . . . . . . . Anatoly Antipin and Olga Vasilieva

1

Minimizing Sign Changes Rowwise: Consecutive Ones Property and Beyond . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Dominique Fortin and Ider Tseveendorj

37

Variational and Hemivariational Inequalities in Mechanics of Elastoplastic, Granular Media, and Quasibri