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- Subgradient_method abstract "Subgradient methods are iterative methods for solving convex minimization problems. Originally developed by Naum Z. Shor and others in the 1960s and 1970s, subgradient methods are convergent when applied even to a non-differentiable objective function. When the objective function is differentiable, subgradient methods for unconstrained problems use the same search direction as the method of steepest descent.Subgradient methods are slower than Newton's method when applied to minimize twice continuously differentiable convex functions. However, Newton's method fails to converge on problems that have non-differentiable kinks. In recent years, some interior-point methods have been suggested for convex minimization problems, but subgradient projection methods and related bundle methods of descent remain competitive. For convex minimization problems with very large number of dimensions, subgradient-projection methods are suitable, because they require little storage. Subgradient projection methods are often applied to large-scale problems with decomposition techniques. Such decomposition methods often allow a simple distributed method for a problem.".
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- Subgradient_method wikiPageID "9891368".
- Subgradient_method wikiPageLength "10790".
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- Subgradient_method wikiPageRevisionID "675540400".
- Subgradient_method wikiPageWikiLink Andrzej_Piotr_Ruszczyński.
- Subgradient_method wikiPageWikiLink Category:Convex_optimization.
- Subgradient_method wikiPageWikiLink Category:Mathematical_optimization.
- Subgradient_method wikiPageWikiLink Claude_Lemaréchal.
- Subgradient_method wikiPageWikiLink Convex_function.
- Subgradient_method wikiPageWikiLink Convex_optimization.
- Subgradient_method wikiPageWikiLink Convex_set.
- Subgradient_method wikiPageWikiLink Euclidean_norm.
- Subgradient_method wikiPageWikiLink Gradient_descent.
- Subgradient_method wikiPageWikiLink Interior-point_methods.
- Subgradient_method wikiPageWikiLink Interior_point_method.
- Subgradient_method wikiPageWikiLink Iterative_method.
- Subgradient_method wikiPageWikiLink Level_set.
- Subgradient_method wikiPageWikiLink Mathematical_proof.
- Subgradient_method wikiPageWikiLink Naum_Z._Shor.
- Subgradient_method wikiPageWikiLink Norm_(mathematics).
- Subgradient_method wikiPageWikiLink Princeton_University_Press.
- Subgradient_method wikiPageWikiLink Springer-Verlag.
- Subgradient_method wikiPageWikiLink Springer_Science+Business_Media.
- Subgradient_method wikiPageWikiLink Subderivative.
- Subgradient_method wikiPageWikiLink Subdifferential.
- Subgradient_method wikiPageWikiLink Subgradient.
- Subgradient_method wikiPageWikiLinkText "Subgradient method".
- Subgradient_method wikiPageWikiLinkText "Subgradient method#Subgradient-projection & bundle methods".
- Subgradient_method wikiPageWikiLinkText "Subgradient projection".
- Subgradient_method wikiPageWikiLinkText "bundle methods of descent".
- Subgradient_method wikiPageWikiLinkText "dual subgradient method".
- Subgradient_method wikiPageWikiLinkText "methods".
- Subgradient_method wikiPageWikiLinkText "non-differentiable optimization".
- Subgradient_method wikiPageWikiLinkText "non-smooth optimization".
- Subgradient_method wikiPageWikiLinkText "step-size rules".
- Subgradient_method wikiPageWikiLinkText "subgradient descent methods".
- Subgradient_method wikiPageWikiLinkText "subgradient method".
- Subgradient_method wikiPageWikiLinkText "subgradient".
- Subgradient_method hasPhotoCollection Subgradient_method.
- Subgradient_method wikiPageUsesTemplate Template:Cite_book.
- Subgradient_method wikiPageUsesTemplate Template:Optimization_algorithms.
- Subgradient_method subject Category:Convex_optimization.
- Subgradient_method subject Category:Mathematical_optimization.
- Subgradient_method hypernym Methods.
- Subgradient_method type Area.
- Subgradient_method type Software.
- Subgradient_method type Area.
- Subgradient_method comment "Subgradient methods are iterative methods for solving convex minimization problems. Originally developed by Naum Z. Shor and others in the 1960s and 1970s, subgradient methods are convergent when applied even to a non-differentiable objective function.".
- Subgradient_method label "Subgradient method".
- Subgradient_method sameAs m.02pw21n.
- Subgradient_method sameAs Q7631150.
- Subgradient_method sameAs Q7631150.
- Subgradient_method sameAs 次梯度法.
- Subgradient_method wasDerivedFrom Subgradient_method?oldid=675540400.
- Subgradient_method isPrimaryTopicOf Subgradient_method.