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Large-Scale Nonlinear Optimization

  • Book
  • © 2006

Overview

Editors:
  1. G. Pillo

    1. University of Rome “La Sapienza”, Italy

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    You can also search for this editor in PubMed   Google Scholar

  2. M. Roma

    1. University of Rome “La Sapienza”, Italy

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    You can also search for this editor in PubMed   Google Scholar

  • Discusses the most recent advances in the development of methods and algorithms for large-scale nonlinear optimization and its applications
  • Includes supplementary material: sn.pub/extras

Part of the book series: Nonconvex Optimization and Its Applications (NOIA, volume 83)

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-IX
    Download chapter PDF

  2. Fast Linear Algebra for Multiarc Trajectory Optimization

    • Nicolas Bérend, J. Frédéric Bonnans, Julien Laurent-Varin, Mounir Haddou, Christophe Talbot
    Pages 1-14

  3. Lagrange Multipliers with Optimal Sensitivity Properties in Constrained Optimization

    • Dimitri P. Bertsekas
    Pages 15-23

  4. An O(n 2) Algorithm for Isotonic Regression

    • Oleg Burdakov, Oleg Sysoev, Anders Grimvall, Mohamed Hussian
    Pages 25-33

  5. Knitro: An Integrated Package for Nonlinear Optimization

    • Richard H. Byrd, Jorge Nocedal, Richard A. Waltz
    Pages 35-59

  6. On implicit-factorization constraint preconditioners

    • H. Sue Dollar, Nicholas I. M. Gould, Andrew J. Wathen
    Pages 61-82

  7. Optimal algorithms for large sparse quadratic programming problems with uniformly bounded spectrum

    • Zdeněk Dostál
    Pages 83-93

  8. Numerical methods for separating two polyhedra

    • Yury G. Evtushenko, Alexander I. Golikov, Saed Ketabchi
    Pages 95-113

  9. Exact penalty functions for generalized Nash problems

    • Francisco Facchinei, Jong-Shi Pang
    Pages 115-126

  10. Parametric Sensitivity Analysis for Optimal Boundary Control of a 3D Reaction-Diffusion System

    • Roland Griesse, Stefan Volkwein
    Pages 127-149

  11. Projected Hessians for Preconditioning in One-Step One-Shot Design Optimization

    • Andreas Griewank
    Pages 151-171

  12. Conditions and parametric representations of approximate minimal elements of a set through scalarization

    • César Gutiérrez, Bienvenido Jiménez, Vicente Novo
    Pages 173-184

  13. Efficient methods for large-scale unconstrained optimization

    • Ladislav Lukšan, Jan Vlček
    Pages 185-210

  14. A variational approach for minimum cost flow problems

    • Giandomenico Mastroeni
    Pages 211-221

  15. Multi-Objective Optimisation of Expensive Objective Functions with Variable Fidelity Models

    • Daniele Peri, Antonio Pinto, Emilio F. Campana
    Pages 223-241

  16. Towards the Numerical Solution of a Large Scale PDAE Constrained Optimization Problem Arising in Molten Carbonate Fuel Cell Modeling

    • Hans Josef Pesch, Kati Sternberg, Kurt Chudej
    Pages 243-253

  17. The NEWUOA software for unconstrained optimization without derivatives

    • M. J. D. Powell
    Pages 255-297
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About this book

Large-Scale Nonlinear Optimization reviews and discusses recent advances in the development of methods and algorithms for nonlinear optimization and its applications, focusing on the large-dimensional case, the current forefront of much research.

The chapters of the book, authored by some of the most active and well-known researchers in nonlinear optimization, give an updated overview of the field from different and complementary standpoints, including theoretical analysis, algorithmic development, implementation issues and applications.

Editors and Affiliations

  • University of Rome “La Sapienza”, Italy

    G. Pillo, M. Roma

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