Extending the Farkas Lemma Approach to Necessity Conditions to Infinite Programming
DateJuly 1991 (Revised May 1993)
Under mild assumptions, the classical Farkas lemma approach to Lagrange multiplier theory is extended to an infinite programming formulation. The main result generalizes the usual first-order necessity conditions to address problems in which the domain of the objective function is Hilbert space and the number of constraints is arbitrary. The result is used to obtain necessity conditions for a well-known problem from the statistical literature on probability density estimation.
Citable link to this pagehttps://hdl.handle.net/1911/101726
MetadataShow full item record
- CAAM Technical Reports