Abstract
Equality-constrained nonlinear programming: KKT necessary optimality conditions; Inequality-constrained nonlinear optimization; Kuhn–Tucker optimality conditions; Lagrangian duality: Basics; Rosen's method, global convergence, and Powell's conjecture; Saddle point theory and optimality conditions; Second order constraint qualifications; Second order optimality conditions for nonlinear optimizationEquality-constrained nonlinear programming: KKT necessary optimality conditions; Inequality-constrained nonlinear optimization; Kuhn–Tucker optimality conditions; Lagrangian duality: Basics; Nondifferentiable optimization: Parametric programming; Rosen's
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