Large-Scale Nonlinear Optimization.pdf

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LARGE-SCALE NONLINEAR
OPTIMIZATION
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Nonconvex Optimization and Its Applications
VOLUME 83
Managing Editor:
Panos Pardalos
University of Florida, U.S.A.
Advisory Board:
J. R. Birge
University of Chicago, U.S.A.
Ding-Zhu Du
University of Minnesota, U.S.A.
C. A. Floudas
Princeton University, U.S.A.
J. Mockus
Lithuanian Academy of Sciences, Lithuania
H. D. Sherali
Virginia Polytechnic Institute and State University, U.S.A.
G. Stavroulakis
Technical University Braunschweig, Germany
H. Tuy
National Centrefor Natural Science and Technology, Vietnam
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LARGE-SCALE NONLINEAR
OPTIMIZATION
Edited by
G. DI PILL0
University of Rome "La Sapienza," Italy
M. ROMA
University of Rome "La Sapienza," Italy
-
Springer
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Library of Congress Control Number: 2005935078
Printed on acid-free paper,
AMS Subiect Classifications: 90C30. 90C06. 65K05. 65K10
0 2006 Springer SciencetBusiness Media, Inc.
All rights reserved. This work may not be translated or copied in whole or in part without the written
permission of the publisher (Springer Science+Business Media, Inc., 233 Spring Street, New York, NY
10013, USA), 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 in this publication of trade names, trademarks, service marks, and similar terms, even if they are
not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject
to proprietary rights.
Printed in the United States of America.
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Contents
Preface
VII
Fast Linear Algebra for Multiarc Trajectory Optimization
Nicolas Be'rend, J. Fre'de'ric Bonnans, Julien Laurent- Varin, Mounir
.......................................
Haddou, Christophe Talbot
1
Lagrange Multipliers with Optimal Sensitivity Properties in
Constrained Optimization
.............................................
Dimitri P. Bertsekas
15
An O(n2) Algorithm for Isotonic Regression
Oleg Burdakov, Oleg Sysoev, Anders Grimvall, Mohamed Hussian ...... 25
KNITRO: An Integrated Package for Nonlinear Optimization
Richard H. Byrd, Jorge Nocedal, Richard A. Waltz ................... 35
On implicit-factorization constraint preconditioners
H. Sue Dollar, Nicholas I, M, Gould, Andrew J. Wathen ............. 61
Optimal algorithms for large sparse quadratic programming
problems with uniformly bounded spectrum
Zdengk Dostdl ................................................... 83
Numerical methods for separating two polyhedra
Yury G. Evtushenko, Alexander I. Golikov, Sued Ketabchi ............. 95
Exact penalty functions for generalized Nash problems
................................
Francisco Facchinei, Jong-Shi Pang
115
Parametric Sensitivity Analysis for Optimal Boundary
Control of a 3D Reaction-Diffusion System
...................................
Roland Griesse, Stefan Volkwein
127
Projected Hessians for Preconditioning in One-Step One-Shot
Design Optimization
...............................................
Andreas Griewank
151
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