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1.<b>αBB algorithm; Eigenvalue enclosures for ordinary differential equations; Generalized monotonicity: Applications to variational inequalities and equilibrium problems; Hemivariational inequalities: Applications in mechanics; Hemivariational inequalities: Static problems; Interval analysis: Eigenvalue bounds of interval matrices; Non-convex energy functions: Hemivariational inequalities; Nonconvex-nonsmooth calculus of variations; Quasidifferentiable optimization; Quasidifferentiable optimization: Algorithms for hypodifferentiable functions; Quasidifferentiable optimization: Algorithms for QD functions; Quasidifferentiable optimization: Applications; Quasidifferentiable optimization: Applications to thermoelasticity; Quasidifferentiable optimization: Calculus of quasidifferentials; Quasidifferentiable optimization: Codifferentiable functions; Quasidifferentiable optimization: Dini derivatives, Clarke derivatives; Quasidifferentiable optimization: Exact penalty methods; Quasidifferenti
ContentType:Reference Work Entry
Publisher:Springer US
2.<b>Generalized monotonicity: Applications to variational inequalities and equilibrium problems; Hemivariational inequalities: Eigenvalue problems; Hemivariational inequalities: Static problems; Nonconvex energy functions: Hemivariational inequalities; Nonconvex-nonsmooth calculus of variations; Quasidifferentiable optimization; Quasidifferentiable optimization: Algorithms for hypodifferentiable functions; Quasidifferentiable optimization: Algorithms for QD functions; Quasidifferentiable optimization: Applications; Quasidifferentiable optimization: Applications to thermoelasticity; Quasidifferentiable optimization: Calculus of quasidifferentials; Quasidifferentiable optimization: Codifferentiable functions; Quasidifferentiable optimization: Dini derivatives, Clarke derivatives; Quasidifferentiable optimization: Exact penalty methods; Quasidifferentiable optimization: Optimality conditions; Quasidifferentiable optimization: Stability of dynamic systems; Quasidifferentiable optimization:
ContentType:Reference Work Entry
Publisher:Springer US
3.<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
4.<b>αBB algorithm; Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Continuous global optimization: Applications; Continuous global optimization: Models, algorithms and software; Global optimization: Application to phase equilibrium problems; Global optimization in batch design under uncertainty; Global optimization in generalized geometric programming; Global optimization in phase and chemical reaction equilibrium; Global optimization in the analysis and management of environmental systems; 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: Subdivisio
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; 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
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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