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Numerical Analysis and Optimization

NAO-III, Muscat, Oman, January 2014

  • Conference proceedings
  • © 2015

Overview

Editors:
  1. Mehiddin Al-Baali

    1. Department of Mathematics College of Science, Sultan Qaboos University, Muscat, Oman

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  2. Lucio Grandinetti

    1. Faculty of Engineering, University of Calabria, Arcavacada di Rende, Italy

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    You can also search for this editor in PubMed   Google Scholar

  3. Anton Purnama

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

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    You can also search for this editor in PubMed   Google Scholar

  • 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
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  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. Runge–Kutta Methods for Ordinary Differential Equations

    • J. C. Butcher
    Pages 37-58

  4. A Positive Barzilai–Borwein-Like Stepsize and an Extension for Symmetric Linear Systems

    • Yu-Hong Dai, Mehiddin Al-Baali, Xiaoqi Yang
    Pages 59-75

  5. Necessary Optimality Conditions for the Control of Partial Integro-Differential Equations

    • Leonhard Frerick, Ekkehard W. Sachs, Lukas A. Zimmer
    Pages 77-94

  6. The AMPL Modeling Language: An Aid to Formulating and Solving Optimization Problems

    • David M. Gay
    Pages 95-116

  7. An Interior-Point \(\boldsymbol{\ell_{1}}\)-Penalty Method for Nonlinear Optimization

    • Nick I. M. Gould, Dominique Orban, Philippe L. Toint
    Pages 117-150

  8. An ℓ 1-Penalty Scheme for the Optimal Control of Elliptic Variational Inequalities

    • M. Hintermüller, C. Löbhard, M. H. Tber
    Pages 151-190

  9. 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

  10. Solving Multiscale Linear Programs Using the Simplex Method in Quadruple Precision

    • Ding Ma, Michael A. Saunders
    Pages 223-235

  11. Real and Integer Extended Rank Reduction Formulas and Matrix Decompositions: A Review

    • Nezam Mahdavi-Amiri, Effat Golpar-Raboky
    Pages 237-259

  12. Distributed Block Coordinate Descent for Minimizing Partially Separable Functions

    • Jakub Mareček, Peter Richtárik, Martin Takáč
    Pages 261-288

  13. Models for Optimization of Power Systems

    • Paolo Pisciella, Marida Bertocchi, Maria Teresa Vespucci
    Pages 289-317

  14. On Chubanov’s Method for Solving a Homogeneous Inequality System

    • Kees Roos
    Pages 319-338

  15. Back Matter

    Pages 339-344
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Keywords

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

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