NONLINEAR OPTIMIZATION IN MODELING ENVIRONMENTS: Software Implementations for Compilers, Spreadsheets, Modeling Languages, and Integrated Computing Systems

We present a review of several professional software products that serve to analyze and solve nonlinear (global and local) optimization problems across a variety of hardware and software environments. The product versions discussed have been implemented for compiler platforms, spreadsheets, algebraic (optimization) modeling languages, and for integrated scientific-technical computing systems. The discussion highlights some of the key advantages of these implementations. Test examples, well-known numerical challenges and client applications illustrate the usage of the implementations reviewed.

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To appear in: Jeyakumar and Rubinov, Eds., Continuous Optimization: Current Trends and Applications. Springer Science + Business Media, New York, 2005.

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