Optimization and related fields: proceedings of the "G. Stampacchia International School of Mathematics" held at Erice, Sicily, September 17 - 30, 1984
Gespeichert in:
| Format: | Tagungsbericht Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1986
|
| Schriftenreihe: | Lecture notes in mathematics
1190 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VII, 419 S. |
| ISBN: | 3540164766 0387164766 |
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| 245 | 1 | 0 | |a Optimization and related fields |b proceedings of the "G. Stampacchia International School of Mathematics" held at Erice, Sicily, September 17 - 30, 1984 |c ed. by R. Conti ... |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1986 | |
| 300 | |a VII, 419 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1190 | |
| 650 | 4 | |a Optimisation mathématique - Congrès | |
| 650 | 7 | |a Optimisation mathématique - Congrès |2 ram | |
| 650 | 7 | |a analyse complexe |2 inriac | |
| 650 | 7 | |a analyse numérique |2 inriac | |
| 650 | 7 | |a analyse stabilité |2 inriac | |
| 650 | 7 | |a calcul variation |2 inriac | |
| 650 | 7 | |a commande optimale |2 inriac | |
| 650 | 7 | |a convergence |2 inriac | |
| 650 | 7 | |a dualité |2 inriac | |
| 650 | 7 | |a fonction Lagrange |2 inriac | |
| 650 | 7 | |a fonction pénalité |2 inriac | |
| 650 | 7 | |a homogénéisation |2 inriac | |
| 650 | 7 | |a multiplicateur Lagrange |2 inriac | |
| 650 | 7 | |a méthode Newton |2 inriac | |
| 650 | 7 | |a méthode gradient |2 inriac | |
| 650 | 7 | |a optimalité |2 inriac | |
| 650 | 7 | |a optimisation |2 inriac | |
| 650 | 7 | |a polarité |2 inriac | |
| 650 | 7 | |a problème Pareto |2 inriac | |
| 650 | 7 | |a programmation mathématique |2 inriac | |
| 650 | 7 | |a système réparti |2 inriac | |
| 650 | 7 | |a théorie ergodique |2 inriac | |
| 650 | 7 | |a théorie jeu |2 inriac | |
| 650 | 4 | |a Mathematical optimization |v Congresses | |
| 650 | 0 | 7 | |a Optimierung |0 (DE-588)4043664-0 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Conti, Roberto |e Sonstige |4 oth | |
| 711 | 2 | |a G. Stampacchia International School of Mathematics |d 1984 |c Erice |j Sonstige |0 (DE-588)2086045-6 |4 oth | |
| 830 | 0 | |a Lecture notes in mathematics |v 1190 |w (DE-604)BV000676446 |9 1190 | |
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Datensatz im Suchindex
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Contents
1 Generalized Reduced Gradient and Global Newton Methods (J. Abadie) 1
1. Introduction 1
2. Notations and algebraic preliminaries 1
3. The global Newton method 4
4. The generalized reduced gradient approach to global
Newton 7
5. Constrained optimization 13
6. Numerical experiments 14
7. Conclusions 20
2 Epi Convergence and Duality. Convergence of Sequences of Marginal and Lagrangians
Functions. Applications to Homogenization Problems in Mechanics (H. Attouch) . 21
1. Epi convergence and duality. Historical introduction. 21
2. Epi convergence. Definition and variational propert¬
ies 26
3. Continuity of the Legendre Fenchel transformation with
respect to epi convergence 31
4. Convergence of dual variables. An example of the epi
convergence approach on an homogenization problem . 39
5. Convergence of primal and dual variables. A general
approach via epi convergence of marginal functions. 47
6. A unifying point of view: epi/hypo convergence of La¬
grangians 50
3 Non Linear Separation Theorems, Duality and Optimality Conditions (A. Cambini) . 57
1. Introduction 57
2. Theorems of the alternative and separation functions. 57
3. Weak alternative and optimality conditions 64
4. Strong alternative and optimality conditions 72
5¦ Lagrangean penalty approaches 76
6. Duality 80
7. Regularity 83
8. The image of a constrained problem 86
9. Concluding remarks 90
4 Convergence of Equilibria in the Theory of Games (E. Cavazzuti) 95
1. Introduction , 95
2. Regularization operators, stable pairs, closed func¬
tions 96
3. Definitions and properties of r limits 104
4. Variational properties of r limits 106
5. Solution concepts 112
6. Convergences for saddle point problems and their prop¬
erties 115
7. An example 123
VI
8. Convergence of Nash equilibria 125
5 On Pareto's Problems (J. P. Cecconi) • 131
1. Introduction 131
2. Existence of Pareto points 141
3. Properties of Pareto points: support points, efficien¬
cy 148
4. Existence of Pareto minima for vector functions 159
6 Tonelli's Regularity Theory in the Calculus of Variations: Recent Progress (F. H. Clarke) 163
1. Introduction: the naive theory 163
2. Tonelli's existence theory 166
3. The Ball Mizel problem 169
4. Tonelli's necessary condition and regularity theory. 170
5. Classes of well behaved problems 171
6. Conditions on the Bernstein function 172
7. Polynomial Lagrangians 173
8. Local existence 174
9. Local existence and the dual action 175
7 Convergence of Unilateral Convex Sets (G. Dal Maso) l8l
8 Continuity of Bilinear and Non Bilinear Polarities (S. Dolecki) 191
1. Introduction 191
2. Polarities 193
3. Convergences 195
4. Continuity of polarities with respect to ( , + ) and a . 202
5. Continuity of polarities with respect to (+, ) and
( , ) ' 204
6. Semicontinuity of value functions 208
7. Continuity of conjugation 211
9 Some Complements of Complex Analysis (I. Ekeland) 215
1. Introduction 215
2. Theorem of Brcinstead Rockafellar 218
3. Theorem of Toland 221
10 Abstract r Convergencef7. Franzoni) ¦. .•.• 229
11 Constructive Aspects in Time Optimal Control (R. Hoppe) 243
1. Introduction 243
2. Discrete convergence in discrete approximations 246
3. Convergence of input maps and reachable sets 251
4. Convergence of minimum times and optimal controls 260
5. Applications 264
12 Distributed Systems with Uncomplete Data and Lagrange Multipliers (J. L. Lions) . . 273
1. Introduction 273
2. Elliptic system, "well set" situation 281
3. Elliptic system, "non well set" situation 285
4. Parabolic system 296
5. Hyperbolic system 301
13 Some Applications of Penalty Functions in Mathematical Programming (O. L. Mangasarian) 307
1. Introduction 308
2. Some fundamental properties of exterior penalty func¬
tions 310
3. Bounds and existence for dual convex programs 3l6
VII
4. Penalty functions in linear programming 325
5 ¦ Appendix 328
14 Dual Properties of Sequential Gradient Restoration Algorithms for Optimal Control
Problems (A. Miele and T. Wang) 331
1. Introduction • 331
2. General problem 333
3. Gradient phase, primal formulation 337
4. Gradient phase, dual formulation 340
5 Gradient phase, computational implications 342
6. Restoration phase, primal formulation 346
7. Restoration phase, dual formulation 349
8. Restoration phase, computational implications 351
9. Comments 355
10. Conclusions 355
15 Stochastic Homogenization and Ergodic Theory (L. Modica) 359
16 On the Hypo Convergence of Probability Measures (R. J. B Wets and G. Salinetti) . 371
1. Introduction 371
2. Convergence of sets and semicontinuous functions 373
3. Semicontinuous measures on F 377
4. Hypo convergence of probability sc measures on F
and Prohorov's theorem 390
17 Stability Analysis in Optimization (T. Zolezzi) 397
1. Introduction 397
2. Convergence results for approximate and exact
solutions 397
3. Applications to mathematical programming 408
4. Performance stability and relaxation stability in
optimal control 4l4 |
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| language | English |
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| spelling | Optimization and related fields proceedings of the "G. Stampacchia International School of Mathematics" held at Erice, Sicily, September 17 - 30, 1984 ed. by R. Conti ... Berlin [u.a.] Springer 1986 VII, 419 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1190 Optimisation mathématique - Congrès Optimisation mathématique - Congrès ram analyse complexe inriac analyse numérique inriac analyse stabilité inriac calcul variation inriac commande optimale inriac convergence inriac dualité inriac fonction Lagrange inriac fonction pénalité inriac homogénéisation inriac multiplicateur Lagrange inriac méthode Newton inriac méthode gradient inriac optimalité inriac optimisation inriac polarité inriac problème Pareto inriac programmation mathématique inriac système réparti inriac théorie ergodique inriac théorie jeu inriac Mathematical optimization Congresses Optimierung (DE-588)4043664-0 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1984 Erice gnd-content Optimierung (DE-588)4043664-0 s DE-604 Conti, Roberto Sonstige oth G. Stampacchia International School of Mathematics 1984 Erice Sonstige (DE-588)2086045-6 oth Lecture notes in mathematics 1190 (DE-604)BV000676446 1190 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000319006&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Optimization and related fields proceedings of the "G. Stampacchia International School of Mathematics" held at Erice, Sicily, September 17 - 30, 1984 Lecture notes in mathematics Optimisation mathématique - Congrès Optimisation mathématique - Congrès ram analyse complexe inriac analyse numérique inriac analyse stabilité inriac calcul variation inriac commande optimale inriac convergence inriac dualité inriac fonction Lagrange inriac fonction pénalité inriac homogénéisation inriac multiplicateur Lagrange inriac méthode Newton inriac méthode gradient inriac optimalité inriac optimisation inriac polarité inriac problème Pareto inriac programmation mathématique inriac système réparti inriac théorie ergodique inriac théorie jeu inriac Mathematical optimization Congresses Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)1071861417 |
| title | Optimization and related fields proceedings of the "G. Stampacchia International School of Mathematics" held at Erice, Sicily, September 17 - 30, 1984 |
| title_auth | Optimization and related fields proceedings of the "G. Stampacchia International School of Mathematics" held at Erice, Sicily, September 17 - 30, 1984 |
| title_exact_search | Optimization and related fields proceedings of the "G. Stampacchia International School of Mathematics" held at Erice, Sicily, September 17 - 30, 1984 |
| title_full | Optimization and related fields proceedings of the "G. Stampacchia International School of Mathematics" held at Erice, Sicily, September 17 - 30, 1984 ed. by R. Conti ... |
| title_fullStr | Optimization and related fields proceedings of the "G. Stampacchia International School of Mathematics" held at Erice, Sicily, September 17 - 30, 1984 ed. by R. Conti ... |
| title_full_unstemmed | Optimization and related fields proceedings of the "G. Stampacchia International School of Mathematics" held at Erice, Sicily, September 17 - 30, 1984 ed. by R. Conti ... |
| title_short | Optimization and related fields |
| title_sort | optimization and related fields proceedings of the g stampacchia international school of mathematics held at erice sicily september 17 30 1984 |
| title_sub | proceedings of the "G. Stampacchia International School of Mathematics" held at Erice, Sicily, September 17 - 30, 1984 |
| topic | Optimisation mathématique - Congrès Optimisation mathématique - Congrès ram analyse complexe inriac analyse numérique inriac analyse stabilité inriac calcul variation inriac commande optimale inriac convergence inriac dualité inriac fonction Lagrange inriac fonction pénalité inriac homogénéisation inriac multiplicateur Lagrange inriac méthode Newton inriac méthode gradient inriac optimalité inriac optimisation inriac polarité inriac problème Pareto inriac programmation mathématique inriac système réparti inriac théorie ergodique inriac théorie jeu inriac Mathematical optimization Congresses Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Optimisation mathématique - Congrès analyse complexe analyse numérique analyse stabilité calcul variation commande optimale convergence dualité fonction Lagrange fonction pénalité homogénéisation multiplicateur Lagrange méthode Newton méthode gradient optimalité optimisation polarité problème Pareto programmation mathématique système réparti théorie ergodique théorie jeu Mathematical optimization Congresses Optimierung Konferenzschrift 1984 Erice |
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