On second order conditions for equality constrained extremum problems

We prove a relationship between the bordered Hessian in an equality constrained extremum problem and the Hessian of the equivalent lower-dimension unconstrained problem. This relationship can be used to derive principal minor conditions for the former from the relatively simple and accessible conditions for the latter.

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Year of publication:	2013
Authors:	Mandy, David M.
Published in:	Economics Letters. - Elsevier, ISSN 0165-1765. - Vol. 121.2013, 3, p. 440-443
Publisher:	Elsevier
Subject:	Optimization \| Hessian \| Minors

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Type of publication:	Article
Classification:	C60 - Mathematical Methods and Programming. General
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010729438