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  • Conference proceedings
  • © 2015

Numerical Analysis and Optimization

NAO-III, Muscat, Oman, January 2014

  • Presents new applications of computational optimization methods
  • Contributors represent an international community of experts
  • Relevant to researchers in fields including Mathematics, Engineering, and Biology

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 134)

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Table of contents (13 papers)

  1. Front Matter

    Pages i-xii
  2. A Conic Representation of the Convex Hull of Disjunctive Sets and Conic Cuts for Integer Second Order Cone Optimization

    • Pietro Belotti, Julio C. Góez, Imre Pólik, Ted K. Ralphs, Tamás Terlaky
    Pages 1-35
  3. Necessary Optimality Conditions for the Control of Partial Integro-Differential Equations

    • Leonhard Frerick, Ekkehard W. Sachs, Lukas A. Zimmer
    Pages 77-94
  4. An Interior-Point \(\boldsymbol{\ell_{1}}\)-Penalty Method for Nonlinear Optimization

    • Nick I. M. Gould, Dominique Orban, Philippe L. Toint
    Pages 117-150
  5. An 1-Penalty Scheme for the Optimal Control of Elliptic Variational Inequalities

    • M. Hintermüller, C. Löbhard, M. H. Tber
    Pages 151-190
  6. Reduced Space Dynamics-Based Geo-Statistical Prior Sampling for Uncertainty Quantification of End Goal Decisions

    • Lior Horesh, Andrew R. Conn, Eduardo A. Jimenez, Gijs M. van Essen
    Pages 191-221
  7. Real and Integer Extended Rank Reduction Formulas and Matrix Decompositions: A Review

    • Nezam Mahdavi-Amiri, Effat Golpar-Raboky
    Pages 237-259
  8. Distributed Block Coordinate Descent for Minimizing Partially Separable Functions

    • Jakub Mareček, Peter Richtárik, Martin Takáč
    Pages 261-288
  9. Models for Optimization of Power Systems

    • Paolo Pisciella, Marida Bertocchi, Maria Teresa Vespucci
    Pages 289-317
  10. Back Matter

    Pages 339-344

About this book

Presenting the latest findings in the field of numerical analysis and optimization, this volume balances pure research with practical applications of the subject. Accompanied by detailed tables, figures, and examinations of useful software tools, this volume will equip the reader to perform detailed and layered analysis of complex datasets.

Many real-world complex problems can be formulated as optimization tasks. Such problems can be characterized as large scale, unconstrained, constrained, non-convex, non-differentiable, and discontinuous, and therefore require adequate computational methods, algorithms, and software tools. These same tools are often employed by researchers working in current IT hot topics such as big data, optimization and other complex numerical algorithms on the cloud, devising special techniques for supercomputing systems.

The list of topics covered include, but are not limited to: numerical analysis, numerical optimization, numerical linear algebra, numerical differential equations, optimal control, approximation theory, applied mathematics, algorithms and software developments, derivative free optimization methods and programming models. The volume also examines challenging applications to various types of computational optimization methods which usually occur in statistics, econometrics, finance, physics, medicine, biology, engineering and industrial sciences.

Editors and Affiliations

  • Department of Mathematics College of Science, Sultan Qaboos University, Muscat, Oman

    Mehiddin Al-Baali

  • Faculty of Engineering, University of Calabria, Arcavacada di Rende, Italy

    Lucio Grandinetti

  • Department Mathematics and Statistics College of Science, Sultan Qaboos University, Muscat, Oman

    Anton Purnama

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access