Optimization with Gradient and Hessian Information Calculated Using Hyper-Dual Numbers
Author:
Affiliation:
1. Stanford University
2. University of Twente
Publisher
American Institute of Aeronautics and Astronautics
Link
http://arc.aiaa.org/doi/pdf/10.2514/6.2011-3807
Reference19 articles.
1. The Development of Hyper-Dual Numbers for Exact Second-Derivative Calculations
2. The complex-step derivative approximation
3. The connection between the complex-step derivative approximation and algorithmic differentiation
4. Preliminary Sketch of Biquaternions
5. Geometrie der Dynamen. Die Zusammensetzung von Kräften, und ver-wandte Gegenstände der Geometrie. Von E. Study. (Leipzig, Teubner, 1903.) Pp. 603. M. 21.
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