Numerical Issues and Influences in the Design of Algebraic Modeling Languages for Optimization

This paper draws from our experience in developing the AMPL modeling language, to show where numerical issues have been crucial to modeling language design and where modeling language advances have strongly influenced the design of solvers.

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Proceedings of the 20th Biennial Conference on Numerical Analysis, Dundee, Scotland, D.F. Griffiths and G.A. Watson, eds., University of Dundee Numerical Analysis Report NA/217 (2003).

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