Nonlinear optimization and applications
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| Sprache: | English |
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New York [u.a.]
Plenum Press
1996
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| 245 | 1 | 0 | |a Nonlinear optimization and applications |c ed. by G. Di Pillo ... |
| 264 | 1 | |a New York [u.a.] |b Plenum Press |c 1996 | |
| 300 | |a XII, 367 S. |b graph. Darst. | ||
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Datensatz im Suchindex
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| adam_text | IMAGE 1
NONLINEAR OPTIMIZATION
AND APPLICATIONS
EDITED BY G. DI PILLO UNIVERSITY OFROME LA SAPIENZA ROME, ITALY
AND
F. GIANNESSI UNIVERSITY OFPISA PISA, ITALY
PLENUM PRESS * NEW YORK AND LONDON
IMAGE 2
C O N T E N TS
1. TOWARDS A DISCRETE NEWTON METHOD WITH MEMORY FOR LARGE-SCALE
OPTIMIZATION (R.H.
BYRD, J. NOCEDAL A ND C. ZHU)
1. INTRODUCTION 1
2. LIMITED MEMORY B F GS 3
3. T HE NEW APPROACH 5
4. NUMERICAL INVESTIGATION 7
2. ON REGULARITY FOR GENERALIZED SYSTEMS AND APPLICATIONS (M.
CASTELLANI, G. MASTROENI
AND M. P A P P A L A R D O)
1. INTRODUCTION 13
2. ABOUT T HE CONDITION H + C U~ H 15
3. LINEAR SEPARATION 17
4. APPLICATIONS TO OPTIMIZATION PROBLEMS 21
5. FIRST ORDER OPTIMALITY CONDITIONS 23
3. AN ALGORITHM USING QUADRATIC INTERPOLATION FOR UNCONSTRAINED
DERIVATIVE FREE OPTIMIZA
TION (A.R. CONN AND P.L. TOINT)
1. INTRODUCTION 27
2. ALGORITHMIC CONCEPTS 29
3. PRELIMINARY NUMERICAL EXPERIENCE 40
4. CONCLUSIONS A ND PERSPECTIVES 43
4. MASSIVELY PARALLEL SOLUTION OF LARGE SCALE NETWORK FLOW PROBLEMS (R.
DE LEONE, E. MERELLI
AND S. BUTI)
1. INTRODUCTION 49
2. THE ALTERNATING DIRECTION (ADI) M E T H OD 50
3. MASSIVELY PARALLEL ADI ALGORITHMS FOR NETWORK FLOW PROBLEM 51
4. IMPLEMENTATION ISSUES 55
5. COMPUTATIONAL RESULTS 56
VII
IMAGE 3
6. CONCLUSIONS 59
5. CORRECTION THEOREMS FOR NONSMOOTH SYSTEMS (V. F. DEM YANOV)
1. INTRODUCTION 61
2. PRELIMINARIES 62
3. THE PROBLEM FORMULATION. T HE SMOOTH CASE 64
4. CORRECTION OF A SYSTEM OF QUASIDIFFERENTIABLE FUNCTIONS 67
6. SUCCESSIVE PROJECTION METHODS FOR THE SOLUTION OF OVERDETERMINED
NONLINEAR SYSTEMS
(M.A. D I N I Z - E H R H A R DT AND J. M. MARTINEZ)
1. INTRODUCTION 75
2. T HE ALGORITHM 76
3. T HE STOPPING CRITERION 79
4. FINAL REMARKS 82
7. ON EXACT AUGMENTED LAGRANGIAN FUNCTIONS IN NONLINEAR PROGRAMMING (G.
DI PILLO AND
5. LUCIDI)
1. INTRODUCTION 85
2. PRELIMINARY RESULTS 86
3. AN OVERALL VIEW ON EXACT AUGMENTED LAGRANGIAN FUNCTIONS 89
4. AN AUGMENTED LAGRANGIAN FUNCTION WITH IMPROVED EXACTNESS PROPERTIES
95
8. SPACE-TRANSFORMATION TECHNIQUE: T HE STATE OF THE ART (Y.G.
EVTUSHENKO AND
G. Z. VITALI)
1. INTRODUCTION 101
2. BASIC APPROACH AND OUTLINE OF A SPACE TRANSFORMATION TECHNIQUE 102
3. PRIMAL BARRIER-PROJECTION METHODS FOR SOLVING LP PROBLEMS 111
4. DUAL BARRIER-PROJECTION METHODS FOR SOLVING LP PROBLEMS 113
5. PRIMAL AND DUAL BARRIER-NEWTON METHODS 117
6. PRIMAL-DUAL BARRIER-NEWTON METHODS 119
VIII
IMAGE 4
9. INEXACT NEWTON METHODS FOR SEMISMOOTH EQUATIONS WITH APPLICATIONS TO
VARIATIONAL
INEQUALITY PROBLEMS ( F. FACCHINEI, A. FISCHER A ND C. KANZOW)
1. INTRODUCTION 125
2. PROPERTIES OF SEMISMOOTH FUNCTIONS 126
3. NONSMOOTH INEXACT NEWTON METHODS 128
4. APPLICATIONS TO VARIATIONAL INEQUALITIES 131
5. CONCLUDING REMARKS 138
10. ACCESSING REALISTIC MIXED COMPLEMENTARITY PROBLEMS WITHIN MATLAB
(M.C. FERRIS A ND T. F. RUTHERFORD)
1. INTRODUCTION 141
2. USING T HE INTERFACE 143
3. PROBLEM CHARACTERISTICS 149
4. FILE GENERATION &: ADVANCED OPTIONS 149
5. CONCLUSIONS 152
11. MERIT FUNCTIONS FOR VARIATIONAL INEQUALITY AND COMPLEMENTARITY
PROBLEMS
(M. FUKUSHIMA)
1. INTRODUCTION 155
2. MERIT FUNCTIONS FOR VI 156
3. MERIT FUNCTIONS FOR CP 163
4. CONCLUDING REMARKS 167
12. SOME REMARKS ON PENALIZATION FOR VARIATIONAL INEQUALITIES AND
GENERALIZATIONS
( F. GIANNESSI)
1. INTRODUCTION 171
2. SEPARATION A ND PENALIZATION 172
3. FURTHER DEVELOPMENTS 177
13. GLOBALLY CONVERGENT ONLINE MINIMIZATION ALGORITHMS FOR NEURAL
NETWORK TRAINING
(L. GRIPPO)
1. INTRODUCTION 181
IX
IMAGE 5
2. THE AUGMENTED LAGRANGIAN FUNCTION 185
3. A PARTITIONING ALGORITHM MODEL 190
4. IMPLEMENTATION PROBLEMS 193
14. SEMISMOOTHNESS AND SUPERLINEAR CONVERGENCE IN NONSMOOTH OPTIMIZATION
AND NONSMOOTH EQUATIONS (H. JIANG, L. QI, X. CHEN AND D. SUN)
1. INTRODUCTION 197
2. NEWTON S METHODS FOR NONSMOOTH EQUATIONS 198
3. NEWTON S METHODS FOR LC 1 OPTIMIZATION 202
4. QUASI-NEWTON METHODS FOR NONSMOOTH EQUATIONS 204
5. PROXIMAL NEWTON METHODS 205
15. ON THE SOLUTION OF THE MONOTONE AND NONMONOTONE LINEAR
COMPLEMENTARITY PROBLEM BY AN INFEASIBLE INTERIOR POINT ALGORITHM (J.
JUEDICE, L. FERNANDES AND A. LIMA)
1. INTRODUCTION 213
2. AN INFEASIBLE INTERIOR-POINT ALGORITHM 215
3. COMPUTATIONAL EXPERIENCE 219
4. CONCLUDING REMARKS 226
16. ERGODIC RESULTS IN SUBGRADIENT OPTIMIZATION (T. LARSSON, M.
PATRIKSSON AND A.-B. STROEMBERG)
1. INTRODUCTION 230
2. TECHNICAL PRELIMINARIES 234
3. ERGODIC RESULTS FOR SUBGRADIENTS 237
4. ERGODIC RESULTS FOR LAGRANGE MULTIPLIERS 240
5. FURTHER RESEARCH 246
17. PROTO-DERIVATIVES AND THE GEOMETRY OF SOLUTION MAPPINGS IN NONLINEAR
PROGRAMMING (A.B. LEVY AND R.T. ROCKAFELLAR)
1. INTRODUCTION 249
2. GRAPHS AS LIPSCHITZ MANIFOLDS 252
X
IMAGE 6
3. GRAPHICAL DIFFERENTIABILITY 255
18. NUMERICAL RESULTS FOR UNCONSTRAINED OPTIMIZATION WITHOUT DERIVATIVES
(S. LUCIDI AND M. SCIANDRONE)
1. INTRODUCTION 261
2. T HE LINESEARCH APPROACH 262
3. A COORDINATE DESCENT M E T H OD 265
4. NUMERICAL RESULTS 266
5. CONCLUSIONS 269
19. HIERARCHICAL SYSTEMS WITH WEIGHTED REACTION SET (L. MALLOZZI A ND J.
MORGAN)
1. INTRODUCTION 271
2. DISCRETE REACTION SET 273
3. GENERAL REACTION SET 275
20. MATHEMATICAL PROGRAMMING IN MACHINE LEARNING (O.L. MANGASARIAN)
1. INTRODUCTION 283
2. LINEAR DISCRIMINATION 284
3. IMPROVING GENERALIZATION 286
4. NEURAL NETWORKS AS MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS
289
5. CONCLUSION 293
21. SMOOTHING TECHNIQUES FOR MACROMOLECULAR GLOBAL OPTIMIZATION
(J.J. MORE AND Z. WU)
1. INTRODUCTION TO MACROMOLECULAR OPTIMIZATION 297
2. SMOOTHING 299
3. PROPERTIES OF T HE GENERALIZED TRANSFORM 300
4. SMOOTHING PROPERTIES OF T HE GENERALIZED TRANSFORM 302
5. COMPUTING T HE GENERALIZED TRANSFORM 304
6. COMPUTING T HE GAUSSIAN TRANSFORM 309
XI
IMAGE 7
22. CONTINUOUS APPROACHES TO DISCRETE OPTIMIZATION PROBLEMS (P.M.
PARDALOS)
1. INTRODUCTION 313
2. T HE M A X I M UM CLIQUE PROBLEM 314
3. SEMIDEFINITE PROGRAMMING APPROACHES 314
4. GLOBAL OPTIMIZATION FOR SATISFIABILITY 315
5. T HE LINEAR COMPLEMENTARITY PROBLEM 317
6. LINEAR AND QUADRATIC 0-1 PROGRAMMING 318
7. T HE HAMILTONIAN CYCLE PROBLEM 320
8. CONTINUOUS MINIMAX APPROACHES 323
9. T HE STEINER PROBLEM 324
10. CONCLUDING REMARKS 326
23. HOMOTOPIES BASED ON NONSMOOTH EQUATIONS FOR SOLVING NONLINEAR
VARIATIONAL
INEQUALITIES (H. SELLAMI AND S.M. ROBINSON)
1. INTRODUCTION 329
2. GENERALIZED EQUATIONS 330
3. CONTINUATION METHODS: SMOOTH AND NONSMOOTH 333
4. PRELIMINARY NUMERICAL RESULTS 337
5. CONCLUSION 338
24. ABS M E T H O DS FOR KT EQUATIONS (E. SPEDICATO, Z. CHEN AND E.
BODON)
1. INTRODUCTION 345
2. THE ABS METHODS 347
3. THE M E T H OD OF XIA FOR KT EQUATIONS 35O
4. A CLASS OF ABS METHODS FOR KT EQUATIONS 351
5. NUMERICAL EXPERIMENTS 353
6. THE CASE OF G DIAGONAL 356
CONTRIBUTORS 361
INDEX 365
XII
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| genre_facet | Konferenzschrift 1995 Erice |
| id | DE-604.BV011164267 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T14:25:38Z |
| institution | BVB |
| isbn | 0306453169 |
| language | English |
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| physical | XII, 367 S. graph. Darst. |
| publishDate | 1996 |
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| publisher | Plenum Press |
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| spellingShingle | Nonlinear optimization and applications Mathematical optimization Congresses Nonlinear theories Congresses Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| subject_GND | (DE-588)4128192-5 (DE-588)1071861417 |
| title | Nonlinear optimization and applications |
| title_auth | Nonlinear optimization and applications |
| title_exact_search | Nonlinear optimization and applications |
| title_full | Nonlinear optimization and applications ed. by G. Di Pillo ... |
| title_fullStr | Nonlinear optimization and applications ed. by G. Di Pillo ... |
| title_full_unstemmed | Nonlinear optimization and applications ed. by G. Di Pillo ... |
| title_short | Nonlinear optimization and applications |
| title_sort | nonlinear optimization and applications |
| topic | Mathematical optimization Congresses Nonlinear theories Congresses Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| topic_facet | Mathematical optimization Congresses Nonlinear theories Congresses Nichtlineare Optimierung Konferenzschrift 1995 Erice |
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