Guide Computational Mathematical Programming

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Main article: Arg max. Tyrrell Rockafellar Naum Z. Shor Albert Tucker. Main article: Multi-objective optimization. Main article: Karush—Kuhn—Tucker conditions. See also: Critical point mathematics , Differential calculus , Gradient , Hessian matrix , Positive definite matrix , Lipschitz continuity , Rademacher's theorem , Convex function , and Convex analysis.

See also: List of optimization algorithms. This section may have been copied and pasted from another location, possibly in violation of Wikipedia's copyright policy. Please be sure that the supposed source of the copyright violation is not itself a Wikipedia mirror. May Main article: Iterative method.

See also: Newton's method in optimization , Quasi-Newton method , Finite difference , Approximation theory , and Numerical analysis. Main article: Heuristic algorithm. Memetic algorithm Differential evolution Evolutionary algorithms Dynamic relaxation Genetic algorithms Hill climbing with random restart Nelder-Mead simplicial heuristic : A popular heuristic for approximate minimization without calling gradients Particle swarm optimization Cuckoo search Gravitational search algorithm Artificial bee colony optimization Simulated annealing Stochastic tunneling Tabu search Reactive Search Optimization RSO [9] implemented in LIONsolver.

Main article: Molecular modeling. Main article: Computational systems biology. Main article: List of optimization software. Brachistochrone Curve fitting Deterministic global optimization Goal programming Important publications in optimization Least squares Mathematical Optimization Society formerly Mathematical Programming Society Mathematical optimization algorithms Mathematical optimization software Process optimization Simulation-based optimization Test functions for optimization Variational calculus Vehicle routing problem.

In Floudas, C. Encyclopedia of Optimization. Boston: Springer. Erwin Diewert J Optimization algorithms for networks and graphs. CRC Press 2nd edition. Advances in Neural Information Processing Systems. Reactive Search and Intelligent Optimization.

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Springer Verlag. Archived from the original on Soviet Journal of Computer and Systems Sciences.

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Gravitation and Cosmology. Bibcode : GrCo American Economic Review. Dynamic Macroeconomic Theory.

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Harvard University Press. Malliaris Abstract Archived at the Wayback Machine. International Journal of Machine Learning and Cybernetics. January July Bibcode : ITAP February Journal of Construction Engineering and Management. Archived from the original on 18 December Retrieved 14 September Biotechnology and Bioengineering. Molecular Genetics and Metabolism. Optimization : Algorithms , methods , and heuristics. Unconstrained nonlinear.

Golden-section search Interpolation methods Line search Nelder—Mead method Successive parabolic interpolation. Trust region Wolfe conditions. Newton's method. Constrained nonlinear. Barrier methods Penalty methods. Augmented Lagrangian methods Sequential quadratic programming Successive linear programming. Convex optimization.

Cutting-plane method Reduced gradient Frank—Wolfe Subgradient method. Affine scaling Ellipsoid algorithm of Khachiyan Projective algorithm of Karmarkar. Simplex algorithm of Dantzig Revised simplex algorithm Criss-cross algorithm Principal pivoting algorithm of Lemke. Evolutionary algorithm Hill climbing Local search Simulated annealing Tabu search. Areas of mathematics. Category theory Information theory Mathematical logic Philosophy of mathematics Set theory.

Abstract Elementary Linear Multilinear. Calculus Real analysis Complex analysis Differential equations Functional analysis. Combinatorics Graph theory Order theory Game theory.

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Arithmetic Algebraic number theory Analytic number theory Diophantine geometry. Algebraic Differential Geometric. Control theory Mathematical biology Mathematical chemistry Mathematical economics Mathematical finance Mathematical physics Mathematical psychology Mathematical statistics Probability Statistics.

Computer science Theory of computation Numerical analysis Optimization Computer algebra. History of mathematics Recreational mathematics Mathematics and art Mathematics education. Category Portal Commons WikiProject. Cartis, N. PDF C. Demetriou and P. Pardalos, eds. PDF N. Gould, T. Rees and J. Computational Optimization and Applications 73 1 Journal of Complexity 53 PDF F. Furini, E. Traversi, P.

Belotti, A.

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Frangioni, A. Gleixner, N. Gould, L. Liberti, A. Lodi, R. Misener, H. Mittelmann, N. Sahinidis, S.

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Vigerske and A. Foundations of Computational Mathematics Optimization Methods and Software 32 6 Gould and D.

Computational Optimization and Applications 67 1 Mathematical Programming. Curtis, N. Gould, D. Robinson and Ph. Mathematical Programming Gould and J. PDF D. Packwood, J. Kermode, L.

Mones, N. Bernstein, J.

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Woolley, N. Ortner and G. Ortner and D. Mathematics of Computation 85 Gould, H. Jiang and D. Optimization Methods and Software 31 1 Gould, Y. Loh and D. Orban and Ph. Computational Optimization and Applications 60 3 Orban and T.

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