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Longer titles found: Characteristic function (convex analysis) (view)

searching for Convex analysis 56 found (187 total)

Adrian Lewis (mathematician) (992 words) [view diff] case mismatch in snippet view article

properties of eigenvalues." With Jonathan Borwein he co-authored the book Convex Analysis and Nonlinear Optimization (2000, 2nd edition 2006). Lewis holds British

Strong duality (259 words) [view diff] case mismatch in snippet view article find links to article

solvability. Convex optimization Borwein, Jonathan; Lewis, Adrian (2006). Convex Analysis and Nonlinear Optimization: Theory and Examples (2 ed.). Springer.

Fenchel's duality theorem (703 words) [view diff] case mismatch in snippet view article find links to article

Heinz H.; Combettes, Patrick L. (2017). "Fenchel–Rockafellar Duality". Convex Analysis and Monotone Operator Theory in Hilbert Spaces. Springer. pp. 247–262

Lagrangian relaxation (1,085 words) [view diff] exact match in snippet view article find links to article

MR 2265882. Hiriart-Urruty, Jean-Baptiste; Lemaréchal, Claude (1993). Convex analysis and minimization algorithms, Volume I: Fundamentals. Grundlehren der

Quadratic programming (1,902 words) [view diff] case mismatch in snippet view article find links to article

solving convex quadratic optimization problems" (PDF). Journal of Convex Analysis. 12: 45–69. Archived (PDF) from the original on 2022-10-09. Gould,

Robert Phelps (1,118 words) [view diff] exact match in snippet view article find links to article

of convex sets with the Radon-Nikodým property (1983) and Giles's Convex analysis with application in the differentiation of convex functions (1982)

Ivar Ekeland (2,243 words) [view diff] exact match in snippet view article find links to article

applications with sums of many functions. Ekeland, Ivar; Temam, Roger (1999). Convex analysis and variational problems. Classics in applied mathematics. Vol. 28

Hypertopology (166 words) [view diff] case mismatch in snippet view article find links to article

(1994). "A New Approach to a Hyperspace Theory" (PDF). Journal of Convex Analysis. 1 (2): 173–193. Retrieved 20 January 2013. Beer, G. (1994). Topologies

Hyperplane (1,336 words) [view diff] case mismatch in snippet view article find links to article

Arrangement of hyperplanes Supporting hyperplane theorem "Excerpt from Convex Analysis, by R.T. Rockafellar" (PDF). u.arizona.edu. Beutelspacher, Albrecht;

Graph of a function (961 words) [view diff] case mismatch in snippet view article find links to article

p. 285. ISBN 0-387-98239-6. Zălinescu, Constantin (30 July 2002). Convex Analysis in General Vector Spaces. River Edge, N.J. London: World Scientific

Conical combination (455 words) [view diff] case mismatch in snippet view article find links to article

closed set. Affine combination Convex combination Linear combination Convex Analysis and Minimization Algorithms by Jean-Baptiste Hiriart-Urruty, Claude

Strongly monotone operator (146 words) [view diff] case mismatch in snippet view article find links to article

173 Bauschke, Heinz H.; Combettes, Patrick L. (28 February 2017). Convex Analysis and Monotone Operator Theory in Hilbert Spaces. CMS Books in Mathematics

Extreme point (2,071 words) [view diff] exact match in snippet view article find links to article

follows by induction. Choquet theory – Area of functional analysis and convex analysis Bang–bang control Saltzman, Matthew. "What is the difference between

Complete metric space (2,519 words) [view diff] exact match in snippet view article find links to article

Topological Spaces. ISBN 978-0-19-853161-6. Zalinescu, C. (2002). Convex analysis in general vector spaces. River Edge, N.J. London: World Scientific

Closed graph theorem (1,611 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-486-49353-4. OCLC 849801114. Zălinescu, Constantin (30 July 2002). Convex Analysis in General Vector Spaces. River Edge, N.J. London: World Scientific

Plurisubharmonic function (1,314 words) [view diff] exact match in snippet view article find links to article

which is the subject of this page, not the pseudoconvex function of convex analysis.Bremermann (1956) Lelong, P. (1942). "Definition des fonctions plurisousharmoniques"

Kuratowski and Ryll-Nardzewski measurable selection theorem (315 words) [view diff] case mismatch in snippet view article find links to article

Selections of Multi-Functions in Banach Spaces" (PDF). Journal of Convex Analysis. 17 (1): 229–240. Retrieved 28 June 2018. V. I. Bogachev, "Measure

Proximal gradient method (562 words) [view diff] exact match in snippet view article find links to article

Processing". arXiv:0912.3522 [math.OC]. Rockafellar, R. T. (1970). Convex analysis. Princeton: Princeton University Press. Combettes, Patrick L.; Pesquet

Interior (topology) (2,268 words) [view diff] exact match in snippet view article

interior – Generalization of topological interior Zalinescu, C (2002). Convex analysis in general vector spaces. River Edge, N.J. London: World Scientific

Hybrid system (1,549 words) [view diff] exact match in snippet view article find links to article

contact force λ {\displaystyle \lambda } . One also notices from basic convex analysis that the complementarity relation can equivalently be rewritten as

Integral polytope (943 words) [view diff] exact match in snippet view article find links to article

9780898717105, ISBN 0-89871-481-8, MR 1828452 Murota, Kazuo (2003), Discrete convex analysis, SIAM Monographs on Discrete Mathematics and Applications, Philadelphia

Roger Guesnerie (877 words) [view diff] exact match in snippet view article find links to article

a [synthesis] of global analysis (differential topology) and [of] convex analysis." This paper introduced cone of interior displacements of Dubovickii

Contraction mapping (1,112 words) [view diff] case mismatch in snippet view article find links to article

1080/02331930412331327157. S2CID 219698493. Bauschke, Heinz H. (2017). Convex Analysis and Monotone Operator Theory in Hilbert Spaces. New York: Springer

Czesław Ryll-Nardzewski (461 words) [view diff] case mismatch in snippet view article find links to article

"Measurability and selections of multi-functions in Banach spaces". Journal of Convex Analysis. 17 (1): 229–230. MR 2642727. See Theorem A Michał, Morayne (2016)

Cyclical monotonicity (389 words) [view diff] exact match in snippet view article find links to article

University Press. p. 9. Rockafellar, R. Tyrrell, 1935- (2015-04-29). Convex analysis. Princeton, N.J. ISBN 9781400873173. OCLC 905969889.{{cite book}}:

LogSumExp (1,064 words) [view diff] exact match in snippet view article find links to article

El Ghaoui, Laurent (2017). Optimization Models and Applications. "convex analysis - About the strictly convexity of log-sum-exp function - Mathematics

Dimitri Bertsekas (1,419 words) [view diff] case mismatch in snippet view article find links to article

approximations of highly complex sequential decision-making problems. "Convex Analysis and Optimization" (2003, co-authored with A. Nedic and A. Ozdaglar)

Learning rate (1,108 words) [view diff] case mismatch in snippet view article find links to article

"Learning Rate Adaptation in Stochastic Gradient Descent". Advances in Convex Analysis and Global Optimization. Kluwer. pp. 433–444. ISBN 0-7923-6942-4. de

Shiri Artstein (604 words) [view diff] exact match in snippet view article find links to article

Artstein-Avidan, Shiri; Milman, Vitali (2009), "The concept of duality in convex analysis, and the characterization of the Legendre transform", Annals of Mathematics

Boris Mordukhovich (638 words) [view diff] case mismatch in snippet view article find links to article

Monographs in Mathematics, 2018 B. S. Mordukhovich and N. M. Nam, "Convex Analysis and Beyond," Springer Series in Operations Research and Financial Engineering

Generalizations of the derivative (3,563 words) [view diff] exact match in snippet view article find links to article

are generalizations of the derivative to convex functions used in convex analysis. In commutative algebra, Kähler differentials are universal derivations

Steven G. Krantz (1,943 words) [view diff] case mismatch in snippet view article find links to article

2013) Foundations of Real Analysis (Taylor & Francis/CRC Press, 2013) Convex Analysis (Taylor & Francis, 2015) Essentials of Mathematical Thinking (Taylor

Ky Fan (694 words) [view diff] exact match in snippet view article find links to article

Fan made fundamental contributions to operator and matrix theory, convex analysis and inequalities, linear and nonlinear programming, topology and fixed

Blaschke–Lebesgue theorem (1,062 words) [view diff] case mismatch in snippet view article find links to article

control theory approach to the Blaschke–Lebesgue theorem", Journal of Convex Analysis, 16 (2): 391–407, MR 2559951 Araújo, Paulo Ventura (1997), "Minimum

Capacity of a set (1,655 words) [view diff] exact match in snippet view article find links to article

Laplace's equation Choquet theory – Area of functional analysis and convex analysis Brélot, Marcel (1967) [1960], Lectures on potential theory (Notes by

Closure operator (2,664 words) [view diff] case mismatch in snippet view article find links to article

American Mathematical Society, 2009. Rockafellar, Ralph Tyrell (1970). Convex Analysis. Princeton University Press. p. 44. doi:10.1515/9781400873173. ISBN 9781400873173

Closure (topology) (4,293 words) [view diff] case mismatch in snippet view article

(1968), Topology, Allyn and Bacon Zălinescu, Constantin (30 July 2002). Convex Analysis in General Vector Spaces. River Edge, N.J. London: World Scientific

Elliott H. Lieb (3,128 words) [view diff] exact match in snippet view article find links to article

first rigorous formulation of Density Functional Theory using tools of convex analysis. The universal Lieb functional gives the lowest energy of a Coulomb

Thomas Vietorisz (696 words) [view diff] exact match in snippet view article find links to article

within the traditional Edgeworth box diagram, but extended for non-convex analysis. An example of a practical suggestion Vietorisz makes is discussed

Lagrange multiplier (7,741 words) [view diff] exact match in snippet view article find links to article

Claude (1993). "Chapter XII: Abstract duality for practitioners". Convex analysis and minimization algorithms. Grundlehren der Mathematischen Wissenschaften

Undergraduate Texts in Mathematics (4,182 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-1-4614-4264-6. Vanderbei, Robert J.; Çinlar, Erhan (2013). Real and Convex Analysis. ISBN 978-1-4614-5256-0. McInerney, Andrew (2013). First Steps in Differential

Constantin Carathéodory (4,812 words) [view diff] case mismatch in snippet view article find links to article

(Greek Mathematical Society) 1975. Online Conference on Advances in Convex Analysis and Global Optimization (Honoring the memory of C. Carathéodory) June

Brailey Sims (307 words) [view diff] case mismatch in snippet view article find links to article

new approach to generalized metric spaces. Journal of Nonlinear and convex Analysis. 2006 Jan 1;7(2):289. According to Google Scholar, it has been cited

Roger Temam (1,640 words) [view diff] exact match in snippet view article find links to article

ISBN 0-521-62165-8. MR 1695881. Zbl 0958.76002. Ekeland, Ivar; Témam, Roger (1999). Convex analysis and variational problems. Classics in Applied Mathematics. Vol. 28

Convex curve (4,143 words) [view diff] case mismatch in snippet view article find links to article

65. Brinkhuis, Jan (2020), "Convex functions: basic properties", Convex Analysis for Optimization, Graduate Texts in Operations Research, Springer International

John von Neumann (23,289 words) [view diff] exact match in snippet view article find links to article

pp. xviii, 277. ISBN 978-0-669-00089-4. Rockafellar, R. T. (1970). Convex analysis. Princeton University Press. pp. i, 74. ISBN 978-0-691-08069-7. OCLC 64619

Maximum principle (3,698 words) [view diff] exact match in snippet view article find links to article

York, 1984. x+261 pp. ISBN 0-387-96068-6 Rockafellar, R. T. (1970). Convex analysis. Princeton: Princeton University Press. Smoller, Joel. Shock waves

Gennadii Rubinstein (280 words) [view diff] exact match in snippet view article find links to article

(1970). "Duality in mathematical programming and some problems of convex analysis". Russian Mathematical Surveys. 25 (5): 171–200. Bibcode:1970RuMaS

Envelope theorem (3,975 words) [view diff] case mismatch in snippet view article find links to article

New York: John Wiley & Sons. ISBN 9780471181170. Rockafellar, R. T. (1970). Convex Analysis. Princeton: Princeton University Press. ISBN 0691015864.

Hahn–Banach theorem (12,643 words) [view diff] exact match in snippet view article find links to article

169H. doi:10.1007/BF01394312. S2CID 124399104. Zălinescu, C. (2002). Convex analysis in general vector spaces. River Edge, NJ: World Scientific Publishing

Riesz representation theorem (12,855 words) [view diff] exact match in snippet view article find links to article

A^{-1}(\cdot ).} Choquet theory – Area of functional analysis and convex analysis Covariance operator – Operator in probability theory Fundamental theorem

Parallel (operator) (6,585 words) [view diff] case mismatch in snippet view article

Alberto (May 1990) [1988-03-22]. "Direct and Inverse Addition in Convex Analysis and Applications" (PDF). Journal of Mathematical Analysis and Applications

Complete topological vector space (15,843 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-486-43479-7. OCLC 115240. Zălinescu, Constantin (30 July 2002). Convex Analysis in General Vector Spaces. River Edge, N.J. London: World Scientific

List of women in mathematics (22,165 words) [view diff] exact match in snippet view article find links to article

linear algebra Regina S. Burachik, Argentine-Australian researcher in convex analysis, functional analysis and non-smooth analysis Almut Burchard, German-Canadian

Drift plus penalty (7,204 words) [view diff] case mismatch in snippet view article find links to article

32–46, Jan. 2013. D. P. Bertsekas and A. Nedic and A. E. Ozdaglar. Convex Analysis and Optimization, Boston: Athena Scientific, 2003. M. J. Neely. Stochastic

Chambolle-Pock algorithm (2,816 words) [view diff] case mismatch in snippet view article find links to article

ISSN 1070-9908. S2CID 8976837. Ekeland, Ivar; Témam, Roger (1999). Convex Analysis and Variational Problems. Society for Industrial and Applied Mathematics