A note on Fritz John sufficiency

A note on Fritz John sufficiency

Enhanced Fritz John Conditions for Convex Programming

We consider convex constrained optimization problems, and we enhance the classical Fritz John optimality conditions to assert the existence of multipliers with special sensitivity properties. In particular, we prove the existence of Fritz John multipliers that are informative in the sense that they identify constraints whose relaxation, at rates proportional to the multipliers, strictly improve...

A note on distributed estimation and sufficiency

Follow this and additional works at: http://opensiuc.lib.siu.edu/ece_articles Published in Viswanathan, R. (1993). A note on distributed estimation and sufficiency. IEEE Transactions on Information Theory, 39(5), 1765 1767. doi: 10.1109/18.259674 ©1993 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes...

Fritz john second-order duality for nonlinear programming

Abstract-A second-order dual to a nonlinear programming problem is formulated. This dual uses the Ritz John necessary optimality conditions instead of the Karush-Kuhn-Tucker necessary optimal&y conditions, and thus, does not require a constraint qualification. Weak, strong, strictconverse, and converse duality theorems between primal and dual problems are established. @ 2001 Elsevier Science Lt...

Fritz-john and Kuhn-tucker Conditions in Non-linear Programming

In this paper we give necessary optimality conditions of Fritz-John and Kuhn-Tucker (KKT) conditions for non-linear infinite dimensional programming problem with operatorial constraints. We use an alternative theorem. Some of the known results in finite dimensional case have been extended to infinite dimensional case with suitable conditions.