Mathematics of Operations Research, Vol. 20, No. 4 (Nov., 1995), pp. 818-837 (20 pages) A nonlinear extension of Farkas' lemma for systems involving the difference of sublinear functions is presented.

Conditions which are necessary and sufficient for convergence of a nonlinear programming algorithm are stated. It is also shown that the convergence conditions can be easily applied to most ...

The optimisation of gas networks has emerged as a critical field in energy systems engineering, incorporating advanced nonlinear programming techniques to address the increasing complexity of gas ...