Constructive nonsmooth analysis:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Frankfurt am Main u.a.
Lang
1995
|
| Schriftenreihe: | Approximation & optimization
7 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 416 S. graph. Darst. |
| ISBN: | 3631462700 9783631462706 |
Internformat
MARC
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| 100 | 1 | |a Demʹjanov, Vladimir F. |d 1938- |e Verfasser |0 (DE-588)108348482 |4 aut | |
| 245 | 1 | 0 | |a Constructive nonsmooth analysis |c Vladimir F. Demyanov ; Alexander M. Rubinov |
| 264 | 1 | |a Frankfurt am Main u.a. |b Lang |c 1995 | |
| 300 | |a 416 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Approximation & optimization |v 7 | |
| 650 | 0 | 7 | |a Nichtglatte Analysis |0 (DE-588)4379207-8 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Rubinov, Aleksandr M. |e Verfasser |4 aut | |
| 830 | 0 | |a Approximation & optimization |v 7 |w (DE-604)BV004702731 |9 7 | |
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Datensatz im Suchindex
| _version_ | 1804124483144908800 |
|---|---|
| adam_text | VLADIMIR E DEMYANOV ALEXANDER M. RUBINOV CONSTRUCTIVE NONSMOOTH ANALYSIS
PETER LANG EUROPAISCHER VERLAG DER WISSENSCHAFTEN CONTENTS PREFACE 5 1
HOMOGENEOUS APPROXIMATIONS OF FUNCTIONS, SETS AND MAPPINGS 9 1
APPROXIMATION OF SETS VIA CONES 9 2 DINI AND HADAMARD DERIVATIVES 16 3
SOME PROPERTIES OF THE DINI AND HADAMARD DERIVATIVES 23 4 APPROXIMATION
OF SETS DEFINED BY INEQUALITIES AND EQUATIONS. REGULARITY CONDITIONS 37
5 APPROXIMATION OF MULTI-VALUED MAPPINGS 44 6 DIFFERENTIABILITY OF A
MAXIMUM FUNCTION WITH DEPENDENT CONSTRAINTS ... 58 2 THE CLARKE
DERIVATIVES AND SUBDIFFERENTIALS 68 1 THE CLARKE SUBDIFFERENTIAL 68 2
THE CLARKE TANGENT CONE 85 3 CONTINUOUS APPROXIMATIONS OF THE CLARKE
SUBDIFFERENTIAL MAPPING .... 92 4 GENERALIZED JACOBIANS AND FANS 99 3
QUASIDIFFERENTIABLE FUNCTIONS 106 1 DIFFERENCE OF CONVEX COMPACT SETS
106 2 QUASIDIFFERENTIAL CALCULUS 123 3 REGULARITY CONDITIONS FOR SETS
DEFINED BY QUASIDIFFERENTIABLE FUNCTIONS . . 139 4 RELATIONSHIP BETWEEN
THE QUASIDIFFERENTIAL AND THE SUBDIFFERENTIALS OF PENOT AND CLARKE 143 5
UPPER CONVEX APPROXIMATIONS 162 6 E-QUASIDIFFERENTIALS 172 7 STAR-SHAPED
SETS AND QUASIDIFFERENTIABILITY 177 8 MINIMALITY OF PAIRS OF CONVEX SETS
183 9 CONVEXIFICATION, CONCAVIFICATION AND CONVEXIFICATORS 186 4
CODIFFERENTIABLE FUNCTIONS 191 1 DEFINITION AND EXAMPLES OF
CODIFFERENTIABLE FUNCTIONS 191 2 MAIN FORMULAS OF CODIFFERENTIAL
CALCULUS 196 3 EXAMPLES 201 4 CODIFFERENTIABILITY OF A SUPERPOSITION 207
5 CONTINUOUSLY CODIFFERENTIABLE SETS 212 6 TWICE CODIFFERENTIABLE
FUNCTIONS 215 5 EXTREMAL PROBLEMS 228 1 NECESSARY AND SUFFICIENT
CONDITIONS FOR AN EXTREMUM 228 2 CONDITIONS FOR A MINIMUM OF A
SUBDIFFERENTIABLE FUNCTION 237 3 CONDITIONS FOR AN EXTREMUM OF A
QUASIDIFFERENTIABLE FUNCTION 246 4 CONDITIONS FOR A MINIMUM OF A
HYPODIFFERENTIABLE FUNCTION 269 5 METHOD OF CODIFFERENTIAL DESCENT 273 6
SECOND-ORDER CONDITIONS FOR A MINIMUM OF A TWICE CODIFFERENTIABLE
FUNCTION 278 7 DIRECTIONAL DIFFERENTIABILITY OF THE DISTANCE FUNCTION TO
THE HYPODIFFERENTIAL 282 8 DIFFERENTIABILITY OF A FUNCTION OF SUPREMUM
OVER THE -SUBDIFFERENTIAL MAP- PING OF A CONVEX FUNCTION 286 9
APPROXIMATION OF THE SUB- AND SUPERDIFFERENTIAL MAPPINGS OF A CONVEXO-
CONCAVE FUNCTION. SADDLE POINTS 292 10 MEAN-VALUE THEOREM FOR
QUASIDIFFERENTIABLE FUNCTIONS 302 11 EXACT PENALTY FUNCTIONS 303 6
IMPLICIT FUNCTION THEOREM 311 1 ONE-DIMENSIONAL CASE 311 2 GENERALIZED
KAKUTANI THEOREM 322 3 IMPLICIT FUNCTION THEOREM FOR LIPSCHITZ FUNCTIONS
326 4 IMPLICIT FUNCTION THEOREMS FOR QUASIDIFFERENTIABLE FUNCTIONS 330 5
DIRECTIONAL IMPLICIT FUNCTION 337 6 INVERSE FUNCTION THEOREM AND
IMPLICIT FUNCTION THEOREM FOR LOCALLY LIP- SCHITZ MAPPINGS 345 7 INVERSE
FUNCTION THEOREMS FOR MULTI-VALUED MAPPINGS 350 8 EXAMPLES 358 APPENDIX
I: ELEMENTS OF CONVEX ANALYSIS 364 APPENDIX II: ELEMENTS OF TOPOLOGICAL
THEORY OF MULTI-VALUED MAPPINGS 369 APPENDIX III: QUASIDIFFERENTIAL
CALCULUS IN BANACH A -SPACES 371 APPENDIX IV: QUASILINEAR ALGEBRA
PROBLEMS 379 APPENDIX V: DIFFERENCE OF SETS. SOME OPEN QUESTIONS 381
HISTORICAL AND BIBLIOGRAPHIC NOTES 383 REFERENCES 389 GLOSSARY 409 INDEX
413
|
| any_adam_object | 1 |
| author | Demʹjanov, Vladimir F. 1938- Rubinov, Aleksandr M. |
| author_GND | (DE-588)108348482 |
| author_facet | Demʹjanov, Vladimir F. 1938- Rubinov, Aleksandr M. |
| author_role | aut aut |
| author_sort | Demʹjanov, Vladimir F. 1938- |
| author_variant | v f d vf vfd a m r am amr |
| building | Verbundindex |
| bvnumber | BV010093908 |
| classification_rvk | SK 870 |
| classification_tum | MAT 050f |
| ctrlnum | (OCoLC)246888153 (DE-599)BVBBV010093908 |
| dewey-full | 515.64 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.64 |
| dewey-search | 515.64 |
| dewey-sort | 3515.64 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010093908 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:46:23Z |
| institution | BVB |
| isbn | 3631462700 9783631462706 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006700024 |
| oclc_num | 246888153 |
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| owner_facet | DE-703 DE-12 DE-91G DE-BY-TUM DE-29T DE-20 DE-634 DE-83 DE-11 DE-188 |
| physical | 416 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Lang |
| record_format | marc |
| series | Approximation & optimization |
| series2 | Approximation & optimization |
| spelling | Demʹjanov, Vladimir F. 1938- Verfasser (DE-588)108348482 aut Constructive nonsmooth analysis Vladimir F. Demyanov ; Alexander M. Rubinov Frankfurt am Main u.a. Lang 1995 416 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Approximation & optimization 7 Nichtglatte Analysis (DE-588)4379207-8 gnd rswk-swf Nichtglatte Optimierung (DE-588)4120798-1 gnd rswk-swf Nichtglatte Optimierung (DE-588)4120798-1 s DE-604 Nichtglatte Analysis (DE-588)4379207-8 s Rubinov, Aleksandr M. Verfasser aut Approximation & optimization 7 (DE-604)BV004702731 7 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006700024&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Demʹjanov, Vladimir F. 1938- Rubinov, Aleksandr M. Constructive nonsmooth analysis Approximation & optimization Nichtglatte Analysis (DE-588)4379207-8 gnd Nichtglatte Optimierung (DE-588)4120798-1 gnd |
| subject_GND | (DE-588)4379207-8 (DE-588)4120798-1 |
| title | Constructive nonsmooth analysis |
| title_auth | Constructive nonsmooth analysis |
| title_exact_search | Constructive nonsmooth analysis |
| title_full | Constructive nonsmooth analysis Vladimir F. Demyanov ; Alexander M. Rubinov |
| title_fullStr | Constructive nonsmooth analysis Vladimir F. Demyanov ; Alexander M. Rubinov |
| title_full_unstemmed | Constructive nonsmooth analysis Vladimir F. Demyanov ; Alexander M. Rubinov |
| title_short | Constructive nonsmooth analysis |
| title_sort | constructive nonsmooth analysis |
| topic | Nichtglatte Analysis (DE-588)4379207-8 gnd Nichtglatte Optimierung (DE-588)4120798-1 gnd |
| topic_facet | Nichtglatte Analysis Nichtglatte Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006700024&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004702731 |
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