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2.<b>Duality for semidefinite programming; Entropy optimization: Interior point methods; Homogeneous selfdual methods for linear programming; Linear programming: Interior point methods; Linear programming: Karmarkar projective algorithm; Matrix completion problems; Potential reduction methods for linear programming; Semi-infinite programming, semidefinite programming and perfect duality; Semidefinite programming and determinant maximization; Semidefinite programming and structural optimization; Semidefinite programming: Optimality conditions and stability; Sequential quadratic programming: Interior point methods for distributed optimal control problems; Solving large scale and sparse semidefinite programs; Successive quadratic programming: Solution by active sets and interior point methods</b> INTERIOR POINT METHODS FOR SEMIDEFINITE PROGRAMMING
ContentType：Reference Work Entry
Publisher：Springer US
3.<b>Branch and price: Integer programming with column generation; Decomposition techniques for MILP: Lagrangian relaxation; Integer linear complementary problem; Integer programming; Integer programming: Algebraic methods; Integer programming: Branch and bound methods; Integer programming: Branch and cut algorithms; Integer programming: Cutting plane algorithms; Integer programming duality; Lagrange, Joseph-Louis; Lagrangian multipliers methods for convex programming; LCP: Pardalos–Rosen mixed integer formulation; Mixed integer classification problems; Multi-objective integer linear programming; Multi-objective mixed integer programming; Multi-objective optimization: Lagrange duality; Multiparametric mixed integer linear programming; Parametric mixed integer nonlinear optimization; Set covering, packing and partitioning problems; Simplicial pivoting algorithms for integer programming; Stochastic integer programming: Continuity, stability, rates of convergence; Stochastic integer program
ContentType：Reference Work Entry
Publisher：Springer US
4.<b>Farkas lemma: Generalizations; Linear optimization: Theorems of the alternative; Linear programming; Motzkin transposition theorem; Theorems of the alternative and optimization; Tucker homogeneous systems of linear relations</b><b>Farkas lemma: Generalizations; Fourier–Motzkin elimination method; Fractional programming; Global optimization: Envelope representation; Gröbner bases for polynomial equations; Kuhn–Tucker optimality conditions; Lagrangian duality: Basics; Least-index anticycling rules; Linear optimization: Theorems of the alternative; Linear programming; Motzkin transposition theorem; Theorems of the alternative and optimization; Tucker homogeneous systems of linear relations</b>FARKAS LEMMA
ContentType：Reference Work Entry
Publisher：Springer US
5.<b>Branch and price: Integer programming with column generation; Convex-simplex algorithm; Decomposition techniques for MILP: Lagrangian relaxation; Equivalence between nonlinear complementarity problem and fixed point problem; Generalized nonlinear complementarity problem; Integer programming; Integer programming: Algebraic methods; Integer programming: Branch and bound methods; Integer programming: Branch and cut algorithms; Integer programming: Cutting plane algorithms; Integer programming duality; Integer programming: Lagrangian relaxation; LCP: Pardalos–Rosen mixed integer formulation; Lemke method; Linear complementarity problem; Linear programming; Mixed integer classification problems; Multi-objective integer linear programming; Multi-objective mixed integer programming; Multiparametric mixed integer linear programming; Order complementarity; Parametric linear programming: Cost simplex algorithm; Parametric mixed integer nonlinear optimization; Principal pivoting methods for li
ContentType：Reference Work Entry
Publisher：Springer US
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