title: Practical Optimization
author:  Philip E. Gill 
description: Numerical optimization and parameter estimation are essential tools in a wide variety of applications, such as engineering, science, medicine, sociology and economics. For these optimization techniques to be exploited effectively, problem solvers need to be fully informed of the scope and organization of software for both the specialist and non-specialist; the underlying numerical methods; the aspects of problem formulation that affect performance; the assessment of computer results and the resolution of difficulties that may occur during the solution process.<br />These topics form the basis of the organization of<strong>Practical Optimization</strong>. Much of the material about the estimation of results and the preparation of the problem has not been previously published. The book contains a description of methods for numerical optimization to a level which should make it a useful course text. It is intended that the book should be self-contained. Consequently, those elements of calculus, linear algebra and numerical analysis pertinent to optimization are reviewed in the opening chapters. This is the first book on optimization which discusses not only the methods but also the analysis of computed results and the preparation of problems before solution.<br />This volume will prove invaluable to those in industry, university and research establishments who are actively engaged in solving optimization problems and to those who are potential users of optimization software.
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  Panos Xidonas, George Mavrotas, Theodore Krintas, John Psarras and Constantin
  ZopounidisSpringer Optimization and Its ApplicationsMulticriteria Portfolio
  Management201210.1007/978-1-4614-3670-6© Springer Science+Business Media New
  York 2012
  
  69
  
  Springer Optimization and Its Applications
  
  Managing EditorPanos M. Pardalos
  
  
  Aims and Scope
  
  
  Optimization has been expanding in all directions at an astonishing rate
  during the last few decades. New algorithmic and theoretical techniques have
  been developed, the diffusion into other disciplines has proceeded at a rapid
  pace, and our knowledge of all aspects of the field has grown even more
  profound. At the same time, one of the most striking trends in optimization is
  the constantly increasing emphasis on the interdisciplinary nature of the
  field. 