A sufficient optimality condition for nonregular problems via a nonlinear Lagrangian
C. E. M. Pearce, Andrew C. Eberhard · Numerical Algebra Control and Optimization · 2012
A reformulation of a standard smooth mathematical program in terms of anonlinear Lagrangian is used in conjunction with the calculus of subhessiansto derive a set of sufficient optimality conditions that are applicable tosome nonregular problems. These conditions are cast solely interms of the first-- and second--order derivatives of the constituent functionsand generalize standard second--order sufficiency conditionsto a wide class of potentially nonregular problems.