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2.<b>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 optimization</b><b>Equality-constrained nonlinear programming: KKT necessary optimality conditions; Inequality-constrained nonlinear optimization; Kuhn–Tucker optimality conditions; Lagrangian duality: Basics; Nondifferentiable optimization: Parametric programming; 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 optimization</b>FIRST ORDER CONSTRAINT QUALIFICATIONS
ContentType：Reference Work Entry
Publisher：Springer US
4.<b>Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Contraction-mapping; Global optimization: Application to phase equilibrium problems; Global optimization methods for systems of nonlinear equations; 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: Unconstrained and constrained optimization; Interval analysis: Verifying feasibility; Interval constraints; Interval fixed point theory; Interval global optimization; Interval linear systems; Interval Newton methods; Nonlinear least squares: Newton-type methods; Nonlinear systems of equat
ContentType：Reference Work Entry
Publisher：Springer US
5.<b>Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bilevel programming: Applications in engineering; Bounding derivative ranges; Design optimization in computational fluid dynamics; Global optimization: Application to phase equilibrium 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 linear systems; Interval Newton methods; Multidisciplinary design optimization; Multilevel methods for optimal desig
ContentType：Reference Work Entry
Publisher：Springer US
6.<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
7.<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
8.<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: 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 linear systems; Interval Newton methods</b> INTERVAL ANALYSIS: DIFFERENTIAL EQUATIONS
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: 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
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