Keyword

subdifferential

Description: In convex analysis, the set of subgradients that define supporting affine lower bounds for a function at a point.

Primary topic: Optimization and Variational Analysis (68%)

Wikidata ID: wiki/Q289500

OpenAlex ID: keywords/subdifferential

Monotone Operators and the Proximal Point Algorithm

1976 · R. Tyrrell Rockafellar · SIAM Journal on Control and Optimization · 3,566

Convex analysis and minimization algorithms

1993 · Jean‐Baptiste Hiriart‐Urruty, Claude Lemaréchal · 2,378

Convex Analysis and Minimization Algorithms I

1993 · Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal · Grundlehren der mathematischen Wissenschaften · 1,263

Generalized Gradients and Applications

1975 · Frank H. Clarke · Transactions of the American Mathematical Society · 1,207

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Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems

1990 · Ioana Cioranescu · Springer eBooks · 952

On the maximal monotonicity of subdifferential mappings

1970 · Ralph Rockafellar · Pacific Journal of Mathematics · 740

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The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems

2007 · Jérôme Bolte, Aris Daniilidis, et al. · SIAM Journal on Optimization · 671

Solving mixed integer nonlinear programs by outer approximation

1994 · Roger Fletcher, Sven Leyffer · Mathematical Programming · 664

Pareto optimality in multiobjective problems

1977 · Yair Censor · Applied Mathematics & Optimization · 513

Convex Analysis and Minimization Algorithms II

1993 · Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal · Grundlehren der mathematischen Wissenschaften · 439

Nondifferentiable Optimization

2011 · Princeton University Press eBooks · 419

Characterization of the subdifferentials of convex functions

1966 · Ralph Rockafellar · Pacific Journal of Mathematics · 411

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Generalized Directional Derivatives and Subgradients of Nonconvex Functions

1980 · R. T. Rockafellar · Canadian Journal of Mathematics · 410

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Characterization of the subdifferential of some matrix norms

1992 · G.A. Watson · Linear Algebra and its Applications · 364

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Asymptotic Cones and Functions in Optimization and Variational Inequalities

2003 · Auslender, Alfred, Teboulle, Marc · Springer eBooks · 354

Constructive Nonsmooth Analysis

1995 · В. Ф. Демьянов, Aleksandr Moiseevich Rubinov · Medical Entomology and Zoology · 343

Prox-regular functions in variational analysis

1996 · R. A. Poliquin, R. T. Rockafellar · Transactions of the American Mathematical Society · 333

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Nonsmooth sequential analysis in Asplund spaces

1996 · Boris Mordukhovich, Yongheng Shao · Transactions of the American Mathematical Society · 329

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Nonsmooth Optimization

1992 · Marko M Mäkelä, Pekka Neittaanmäki · WORLD SCIENTIFIC eBooks · 302

Proximity Maps for Convex Sets

1959 · Ward Cheney, Allen A. Goldstein · Proceedings of the American Mathematical Society · 301

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Essential Smoothness, Essential Strict Convexity, and Legendre Functions in Banach Spaces

2001 · HEINZ H. BAUSCHKE, JONATHAN M. BORWEIN, et al. · Communications in Contemporary Mathematics · 299

Smoothing methods for nonsmooth, nonconvex minimization

2012 · Xiaojun Chen · Mathematical Programming · 296

Compactness methods for nonlinear evolutions

1987 · Ioan I. Vrabie · 274

Minimax and Monotonicity

1998 · Stephen Simons · Lecture notes in mathematics · 272

Generalized Differential Calculus for Nonsmooth and Set-Valued Mappings

1994 · B.S. Mordukhovich · Journal of Mathematical Analysis and Applications · 263

Works count: 2,489

Citation count: 43,300