Recent Advances in Optimization and its Applications in Engineering

1. Front Matter

   Pages i-xi

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2. Convex Optimization

   1. Front Matter

      Pages 1-1

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   2. Copositive Programming – a Survey

      • Mirjam Dür

      Pages 3-20

   3. A Robust H∞ Quasi-LPV Approach for Designing Nonlinear Observers

      • Daniel F. Coutinho, Alain Vande Wouwer

      Pages 21-30

   4. Solving Infinite-dimensional Optimization Problems by Polynomial Approximation

      • Olivier Devolder, François Glineur, Yurii Nesterov

      Pages 31-40

   5. Abstract Cones of Positive Polynomials and Their Sums of Squares Relaxations

      • Roland Hildebrand

      Pages 41-50

   6. Asynchronous Gossip Algorithm for Stochastic Optimization: Constant Stepsize Analysis*

      • S. Sundhar Ram, Angelia Nedić, Venu V. Veeravalli

      Pages 51-60

3. Nonlinear Optimization

   1. Front Matter

      Pages 61-61

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   2. On Hessian- and Jacobian-Free SQP Methods - a Total Quasi-Newton Scheme with Compact Storage

      • Torsten Bosse, Andreas Griewank, Lutz Lehmann, Volker Schloßhauer

      Pages 63-72

   3. Approximate Geometric Ellipsoid Fitting: A CG-Approach

      • Martin Kleinsteuber, Knut Hüper

      Pages 73-82

   4. Continuous Reformulation of MINLP Problems

      • Korbinian Kraemer, Wolfgang Marquardt

      Pages 83-92

   5. Local Convergence of Sequential Convex Programming for Nonconvex Optimization

      • Quoc Tran Dinh, Moritz Diehl

      Pages 93-102

   6. Fixed-Order H-infinity Optimization of Time-Delay Systems

      • Suat Gumussoy, Wim Michiels

      Pages 103-112

   7. Using Model Order Reduction for the Parameter Optimization of Large Scale Dynamical Systems

      • Yao Yue, Karl Meerbergen

      Pages 113-122

4. Optimization on Manifolds

   1. Front Matter

      Pages 123-123

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   2. Optimization On Manifolds: Methods and Applications

      • P.-A. Absil, R. Mahony, R. Sepulchre

      Pages 125-144

   3. On the Best Low Multilinear Rank Approximation of Higher-order Tensors*

      • Mariya Ishteva, P.-A. Absil, Sabine Van Huffel, Lieven De Lathauwer

      Pages 145-164

   4. Refining Sparse Principal Components

      • M. Journée, F. Bach, P.-A. Absil, R. Sepulchre

      Pages 165-171

   5. Optimal Data Fitting on Lie Groups: a Coset Approach

      • C. Lageman, R. Sepulchre

      Pages 173-182

   6. Riemannian BFGS Algorithm with Applications

      • Chunhong Qi, Kyle A. Gallivan, P.-A. Absil

      Pages 183-192

Mathematical optimization encompasses both a rich and rapidly evolving body of fundamental theory, and a variety of exciting applications in science and engineering. The present book contains a careful selection of articles on recent advances in optimization theory, numerical methods, and their applications in engineering. It features in particular new methods and applications in the fields of optimal control, PDE-constrained optimization, nonlinear optimization, and convex optimization. The authors of this volume took part in the 14th Belgian-French-German Conference on Optimization (BFG09) organized in Leuven, Belgium, on September 14-18, 2009. The volume contains a selection of reviewed articles contributed by the conference speakers as well as three survey articles by plenary speakers and two papers authored by the winners of the best talk and best poster prizes awarded at BFG09. Researchers and graduate students in applied mathematics, computer science, and many branches of engineering will find in this book an interesting and useful collection of recent ideas on the methods and applications of optimization.

• algorithm
• algorithms
• biomechanics
• calculus
• identification
• linear optimization
• mechanics
• model
• model predictive control
• nonlinear optimization
• numerical methods
• optimal control
• optimization
• partial differential equation
• robotics

• Dept. Electrical Engineering (ESAT), Katholieke Universiteit Leuven, Leuven, Belgium

  Moritz Diehl

• CORE-UCL, Louvain-la-Neuve, Belgium

  Francois Glineur

• , Department Computerwetenschappen, Katholieke Universiteit Leuven, Leuven, Belgium

  Elias Jarlebring

• Dept. Computer Science, Katholieke Universiteit Leuven, Leuven, Belgium

  Wim Michiels

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