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1.<b>Automatic differentiation: Introduction, history and rounding error estimation; Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Global optimization: Application to phase equilibrium problems; Interval analysis: Application to chemical engineering design problems; Interval analysis: Differential equations; Interval analysis: Eigenvalue bounds of interval matrices; Interval analysis: Nondifferentiable problems; Interval analysis: Parallel methods for global optimization; Interval analysis: Subdivision directions in interval branch and bound methods; Interval analysis: Systems of nonlinear equations; Interval analysis: Unconstrained and constrained optimization; Interval analysis: Verifying feasibility; Interval constraints; Interval fixed point theory; Interval global optimization; Interval linear systems; Interval Newton methods</b> INTERVAL ANALYSIS: INTERMEDIATE TERMS
ContentType:Reference Work Entry
Publisher:Springer US
2.<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
3.<b>Automatic differentiation: Calculation of Newton steps; Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Complexity classes in optimization; Dynamic programming and Newton's method in unconstrained optimal control; Global optimization: Application to phase equilibrium problems; Interval analysis: Application to chemical engineering design problems; Interval analysis: Differential equations; Interval analysis: Eigenvalue bounds of interval matrices; Interval analysis: Intermediate terms; Interval analysis: Nondifferentiable problems; Interval analysis: Parallel methods for global optimization; Interval analysis: Subdivision directions in interval branch and bound methods; Interval analysis: Systems of nonlinear equations; Interval analysis: Unconstrained and constrained optimization; Interval analysis: Verifying feasibility; Interval constraints; Interval fixed point theory; Interval global opti
ContentType:Reference Work Entry
Publisher:Springer US
4.<b>Asynchronous distributed optimization algorithms; Automatic differentiation: Parallel computation; Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Global optimization: Application to phase equilibrium problems; Heuristic search; Interval analysis: Application to chemical engineering design problems; Interval analysis: Differential equations; Interval analysis: Eigenvalue bounds of interval matrices; Interval analysis: Intermediate terms; Interval analysis: Nondifferentiable problems; Interval analysis: Subdivision directions in interval branch and bound methods; Interval analysis: Systems of nonlinear equations; Interval analysis: Unconstrained and constrained optimization; Interval analysis: Verifying feasibility; Interval constraints; Interval fixed point theory; Interval global optimization; Interval linear systems; Interval Newton methods; Load balancing for parallel optimization technique
ContentType:Reference Work Entry
Publisher:Springer US
5.<b>αBB algorithm; Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Eigenvalue enclosures for ordinary differential equations; Global optimization: Application to phase equilibrium problems; Hemivariational inequalities: Eigenvalue problems; Interval analysis: Application to chemical engineering design problems; Interval analysis: Differential equations; Interval analysis: Intermediate terms; Interval analysis: Nondifferentiable problems; Interval analysis: Parallel methods for global optimization; Interval analysis: Subdivision directions in interval branch and bound methods; Interval analysis: Systems of nonlinear equations; Interval analysis: Unconstrained and constrained optimization; Interval analysis: Verifying feasibility; Interval constraints; Interval fixed point theory; Interval global optimization; Interval linear systems; Interval Newton methods; Semidefinite programming and determinant
ContentType:Reference Work Entry
Publisher:Springer US
6.<b>Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Global optimization: Application to phase equilibrium problems; Interval analysis: Application to chemical engineering design problems; Interval analysis: Differential equations; Interval analysis Eigenvalue bounds of interval matrices; Interval analysis: Intermediate terms; Interval analysis: Nondifferentiable problems; Interval analysis: Parallel methods for global optimization; Interval analysis: Subdivision directions in interval branch and bound methods; Interval analysis: Systems of nonlinear equations; Interval analysis: Unconstrained and constrained optimization; Interval constraints; Interval fixed point theory; Interval global optimization; Interval linear systems; Interval Newton methods</b> INTERVAL ANALYSIS: VERIFYING FEASIBILITY
ContentType:Reference Work Entry
Publisher:Springer US
7.<b>Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Global optimization: Application to phase equilibrium problems; Interval analysis: Application to chemical engineering design problems; Interval analysis: Differential equations; Interval analysis: Eigenvalue bounds of interval matrices; Interval analysis: Intermediate terms; Interval analysis: Nondifferentiable problems; Interval analysis: Parallel methods for global optimization; Interval analysis: Systems of nonlinear equations; Interval analysis: Unconstrained and constrained optimization; Interval analysis: Verifying feasibility; Interval constraints; Interval fixed point theory; Interval global optimization; Interval linear systems; Interval Newton methods</b> INTERVAL ANALYSIS: SUBDIVISION DIRECTIONS IN INTERVAL BRANCH AND BOUND METHODS
ContentType:Reference Work Entry
Publisher:Springer US
8.<b>ABS algorithms for linear equations and linear least squares; Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Cholesky factorization; Global optimization: Application to phase equilibrium problems; Interval analysis: Application to chemical engineering design problems; Interval analysis: Differential equations; Interval analysis: Eigenvalue bounds of interval matrices; Interval analysis: Intermediate terms; Interval analysis: Nondifferentiable problems; Interval analysis: Parallel methods for global optimization; Interval analysis: Subdivision directions in interval branch and bound methods; Interval analysis: Systems of nonlinear equations; Interval analysis: Unconstrained and constrained optimization; Interval analysis: Verifying feasibility; Interval constraints; Interval fixed point theory; Interval global optimization; Interval Newton methods; Large scale trust region problems; Large scal
ContentType:Reference Work Entry
Publisher:Springer US
9.<b>Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Global optimization: Application to phase equilibrium problems; Interval analysis: Application to chemical engineering design problems; Interval analysis: Differential equations; Interval analysis: Eigenvalue bounds of interval matrices; Interval analysis: Intermediate terms; Interval analysis: Nondifferentiable problems; Interval analysis: Parallel methods for global optimization; Interval analysis: Subdivision directions in interval branch and bound methods; Interval analysis: Systems of nonlinear equations; Interval analysis: Unconstrained and constrained optimization; Interval analysis: Verifying feasibility; Interval fixed point theory; Interval global optimization; Interval linear systems; Interval Newton methods</b> INTERVAL CONSTRAINTS
ContentType:Reference Work Entry
Publisher:Springer US
10.<b>Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Direct search Luus-Jaakola optimization procedure; Global optimization: Application to phase equilibrium problems; Interval analysis: Application to chemical engineering design problems; Interval analysis: Differential equations; Interval analysis: Eigenvalue bounds of interval matrices; Interval analysis: Intermediate terms; interval analysis: Nondifferentiable problems; Interval analysis: Parallel methods for global optimization; Interval analysis: Subdivision directions in interval branch and bound methods; Interval analysis: Systems of nonlinear equations; Interval analysis: Verifying feasibility; Interval constraints; Interval fixed point theory; Interval global optimization; Interval linear systems; Interval Newton methods</b> INTERVAL ANALYSIS: UNCONSTRAINED AND CONSTRAINED OPTIMIZATION
ContentType:Reference Work Entry
Publisher:Springer US
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