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    Chapter and Conference Paper

    Revisiting Expression Representations for Nonlinear AMPL Models

    AMPL facilitates stating and solving nonlinear programming problems involving algebraically defined objectives and constraints. For solving such problems, the AMPL/solver interface library provides routines th...

    David M. Gay in Numerical Analysis and Optimization (2018)

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    Chapter and Conference Paper

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

    Optimization problems arise in many contexts. Sometimes finding a good formulation takes considerable effort. A modeling language, such as AMPL, facilitates experimenting with formulations and simplifies using...

    David M. Gay in Numerical Analysis and Optimization (2015)

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    Chapter and Conference Paper

    Large-Scale Transient Sensitivity Analysis of a Radiation-Damaged Bipolar Junction Transistor via Automatic Differentiation

    Automatic differentiation (AD) is useful in transient sensitivity analysis of a computational simulation of a bipolar junction transistor subject to radiation damage. We used forward-mode AD, implemented in a ...

    Eric T. Phipps, Roscoe A. Bartlett, David M. Gay in Advances in Automatic Differentiation (2008)

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    Chapter

    Design Principles and New Developments in the AMPL Modeling Language

    The design of the AMPL modeling language stresses naturalness of expressions, generality of iterating over sets, separation of model and data, ease of data manipulation, and automatic updating of derived value...

    Robert Fourer, David M. Gay in Modeling Languages in Mathematical Optimiz… (2004)

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    Chapter

    A Primal-dual Interior Method for Nonconvex Nonlinear Programming

    Primal-dual interior methods for nonconvex nonlinear programming have recently been the subject of significant attention from the optimization community. Several different primal-dual methods have been suggest...

    David M. Gay, Michael L. Overton, Margaret H. Wright in Advances in Nonlinear Programming (1998)