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ICCSA
2003
Springer
13 years 10 months ago
The p-th Order Necessary Optimality Conditions for Inequality-Constrained Optimization Problems
Abstract. In this paper, we consider a nonlinear optimization problem with inequality constraints. The paper addresses the degenerate case when the active constraint gradients are ...
Olga Brezhneva, Alexey Tret'yakov
SIAMJO
2010
89views more  SIAMJO 2010»
12 years 11 months ago
A New Sequential Optimality Condition for Constrained Optimization and Algorithmic Consequences
Necessary first-order sequential optimality conditions provide adequate theoretical tools to justify stopping criteria for nonlinear programming solvers. These conditions are sati...
Roberto Andreani, José Mario Martíne...
SIAMCO
2002
81views more  SIAMCO 2002»
13 years 4 months ago
Optimality Conditions for Irregular Inequality-Constrained Problems
Abstract. We consider feasible sets given by conic constraints, where the cone defining the constraints is convex with nonempty interior. We study the case where the feasible set i...
Alexey F. Izmailov, Mikhail V. Solodov
MOR
2006
80views more  MOR 2006»
13 years 4 months ago
The Strong Second-Order Sufficient Condition and Constraint Nondegeneracy in Nonlinear Semidefinite Programming and Their Implic
For a locally optimal solution to the nonlinear semidefinite programming problem, under Robinson's constraint qualification, the following conditions are proved to be equival...
Defeng Sun