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• Luus–Jaakola abstract "In computational engineering, Luus–Jaakola (LJ) denotes a heuristic for global optimization of a real-valued function. In engineering use, LJ is not an algorithm that terminates with an optimal solution; nor is it an iterative method that generates a sequence of points that converges to an optimal solution (when one exists). However, when applied to a twice continuously differentiable function, the LJ heuristic is a proper iterative method, that generates a sequence that has a convergent subsequence; for this class of problems, Newton's method is recommended and enjoys a quadratic rate of convergence, while no convergence rate analysis has been given for the LJ heuristic. In practice, the LJ heuristic has been recommended for functions that need be neither convex nor differentiable nor locally Lipschitz: The LJ heuristic does not use a gradient or subgradient when one be available, which allows its application to non-differentiable and non-convex problems.Proposed by Luus and Jaakola, LJ generates a sequence of iterates. The next iterate is selected from a sample from a neighborhood of the current position using a uniform distribution. With each iteration, the neighborhood decreases, which forces a subsequence of iterates to converge to a cluster point.Luus has applied LJ in optimal control, transformer design, metallurgical processes, and chemical engineering.".
• Luus–Jaakola thumbnail Random_sampling_unimodal_function_(1).JPG?width=300.
• Luus–Jaakola wikiPageID "30991220".
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• Luus–Jaakola wikiPageOutDegree "33".
• Luus–Jaakola wikiPageRevisionID "573267340".
• Luus–Jaakola wikiPageWikiLink Algorithm.
• Luus–Jaakola wikiPageWikiLink Banach_space.
• Luus–Jaakola wikiPageWikiLink Category:Heuristic_algorithms.
• Luus–Jaakola wikiPageWikiLink Category:Optimization_algorithms_and_methods.
• Luus–Jaakola wikiPageWikiLink Chemical_engineering.
• Luus–Jaakola wikiPageWikiLink Computational_engineering.
• Luus–Jaakola wikiPageWikiLink Convex_function.
• Luus–Jaakola wikiPageWikiLink Differentiable.
• Luus–Jaakola wikiPageWikiLink Differentiable_function.
• Luus–Jaakola wikiPageWikiLink Global_optimization.
• Luus–Jaakola wikiPageWikiLink Gradient.
• Luus–Jaakola wikiPageWikiLink Heuristic_(computer_science).
• Luus–Jaakola wikiPageWikiLink Heuristic_algorithm.
• Luus–Jaakola wikiPageWikiLink Hypersphere.
• Luus–Jaakola wikiPageWikiLink Iterative_method.
• Luus–Jaakola wikiPageWikiLink Kantorovich.
• Luus–Jaakola wikiPageWikiLink Leonid_Kantorovich.
• Luus–Jaakola wikiPageWikiLink Lipschitz_continuity.
• Luus–Jaakola wikiPageWikiLink Mathematical_optimization.
• Luus–Jaakola wikiPageWikiLink Metallurgy.
• Luus–Jaakola wikiPageWikiLink Newtons_method.
• Luus–Jaakola wikiPageWikiLink Optimal_control.
• Luus–Jaakola wikiPageWikiLink Optimization_(mathematics).
• Luus–Jaakola wikiPageWikiLink Pattern_search_(optimization).
• Luus–Jaakola wikiPageWikiLink Quadratic_convergence.
• Luus–Jaakola wikiPageWikiLink Random_optimization.
• Luus–Jaakola wikiPageWikiLink Random_search.
• Luus–Jaakola wikiPageWikiLink Rate_of_convergence.
• Luus–Jaakola wikiPageWikiLink Response_surface_methodology.
• Luus–Jaakola wikiPageWikiLink Subderivative.
• Luus–Jaakola wikiPageWikiLink Subgradient.
• Luus–Jaakola wikiPageWikiLink Transformer.
• Luus–Jaakola wikiPageWikiLink Uniform_distribution_(continuous).
• Luus–Jaakola wikiPageWikiLink Unimodal_function.
• Luus–Jaakola wikiPageWikiLink Unimodality.
• Luus–Jaakola wikiPageWikiLink Unit_sphere.
• Luus–Jaakola wikiPageWikiLink File:Random_sampling_unimodal_function_(1).JPG.
• Luus–Jaakola wikiPageWikiLink File:Random_sampling_unimodal_function_(2).JPG.
• Luus–Jaakola wikiPageWikiLinkText "Luus–Jaakola".
• Luus–Jaakola hasPhotoCollection Luus–Jaakola.
• Luus–Jaakola wikiPageUsesTemplate Template:Cite_book.
• Luus–Jaakola wikiPageUsesTemplate Template:Major_subfields_of_optimization.
• Luus–Jaakola wikiPageUsesTemplate Template:Reflist.
• Luus–Jaakola wikiPageUsesTemplate Template:Unicode.
• Luus–Jaakola subject Category:Heuristic_algorithms.
• Luus–Jaakola subject Category:Optimization_algorithms_and_methods.
• Luus–Jaakola comment "In computational engineering, Luus–Jaakola (LJ) denotes a heuristic for global optimization of a real-valued function. In engineering use, LJ is not an algorithm that terminates with an optimal solution; nor is it an iterative method that generates a sequence of points that converges to an optimal solution (when one exists).".
• Luus–Jaakola label "Luus–Jaakola".
• Luus–Jaakola sameAs m.0bx_7tx.
• Luus–Jaakola sameAs Q6706076.
• Luus–Jaakola sameAs Q6706076.
• Luus–Jaakola wasDerivedFrom Luus–Jaakola?oldid=573267340.
• Luus–Jaakola depiction Random_sampling_unimodal_function_(1).JPG.
• Luus–Jaakola isPrimaryTopicOf Luus–Jaakola.