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Second-oder analysis in second-oder cone programming

Published in arXiv (Cornell University) • Jul 24, 2017
NobleIDNI9P17W55R23S49
Authors:
Nguyen T. V. Hang
,
Boris S. Mordukhovich
,
M. Ebrahim Sarabi

Abstract

The paper conducts a second-order variational analysis for an important class of nonpolyhedral conic programs generated by the so-called second-order/Lorentz/ice-cream cone $Q$. From one hand, we prove that the indicator function of $Q$ is always twice epi-differentiable and apply this result to cha...

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