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arXiv · 1207.2817

On constrained second derivatives

Tamas Gal
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Abstract

The question of defining unique, generally applicable constrained second, and higher-order, derivatives is investigated. It is shown that second-order constrained derivatives obtained via two successive constrained differentiations provide a proper tool for the determination of the characters of stationary points under constraints. As an illustration, a finite-dimensional example is considered that has previously been used as an illustration for other stationary-point analysis methods.

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Tamas Gal. 2012-08-13. On constrained second derivatives. https://arxiv.org/abs/1207.2817

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