Topological aspects of nonsmooth optimization:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Hamburg
Lit
1996
|
| Series: | Uni-Press-Hochschulschriften
87 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 79 S. graph. Darst. |
| ISBN: | 3825830489 |
Staff View
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Record in the Search Index
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| adam_text | LUDWIG KUNTZ TOPOLOGICAL ASPECTS OF NONSMOOTH OPTIMIZATION UNI PRESS
HOCHSCHULSCHRIFTEN BD. 87 CONTENT INTRODUCTION 1 MOTIVATION 4 2 BASIC
DEFINITIONS 9 2.1 TWO GENERALIZED GRADIENTS 9 2.2 PC-FUUCTIONS 13 2.3
TOPOLOGICAL FOUNDATIONS 15 3 THE CRITICAL POINT CONCEPT IN NONSMOOTH
OPTIMIZATION 18 3.1 QUALITATIVE FIRST ORDER APPROXIMATION 18 3.2 A
NONSMOOTH VERSION OF THE MORSE LEMMA 32 3.3 REDUCTION PROPERTY AND
STRUCTURAL PROPERTY 42 3.3.1 TOPOLOGICAL INVESTIGATIONS OF CONTINUOUS
SELECTIONS 42 OF LINEAR FUNCTIONS 3.3.2 THE STRUCTURAL PROPERTY AND THE
CRITICAL NONDEGENERATE 46 CRITICAL POINT 4 CONSTRAINED NONSMOOTH
PROGRAMMING 50 4.1 NONSMOOTHNESS AND NONCONVEXITY 52 4.2 STRUCTURAL
ANALYSIS AND CONSTRAINT QUALIFICATIOUS 55 4.2.1 INEQUALITY CONSTRAINTS
AND THE QUALITATIVE APPROXIMATION PROPERTY 55 4.2.2 A CONSTRAINT
QUALIFICATION FOR GENERAL PC -PROGRAMS 58 4.2.3 AN APPLICATION IN
MATHEMATICAL ECONOMICS 62 5 APPENDIX 66 ACKNOWLEDGMENTS 72 REFERENCES 73
|
| adam_txt |
LUDWIG KUNTZ TOPOLOGICAL ASPECTS OF NONSMOOTH OPTIMIZATION UNI PRESS
HOCHSCHULSCHRIFTEN BD. 87 CONTENT INTRODUCTION 1 MOTIVATION 4 2 BASIC
DEFINITIONS 9 2.1 TWO GENERALIZED GRADIENTS 9 2.2 PC-FUUCTIONS 13 2.3
TOPOLOGICAL FOUNDATIONS 15 3 THE CRITICAL POINT CONCEPT IN NONSMOOTH
OPTIMIZATION 18 3.1 QUALITATIVE FIRST ORDER APPROXIMATION 18 3.2 A
NONSMOOTH VERSION OF THE MORSE LEMMA 32 3.3 REDUCTION PROPERTY AND
STRUCTURAL PROPERTY 42 3.3.1 TOPOLOGICAL INVESTIGATIONS OF CONTINUOUS
SELECTIONS 42 OF LINEAR FUNCTIONS 3.3.2 THE STRUCTURAL PROPERTY AND THE
"CRITICAL" NONDEGENERATE 46 CRITICAL POINT 4 CONSTRAINED NONSMOOTH
PROGRAMMING 50 4.1 NONSMOOTHNESS AND NONCONVEXITY 52 4.2 STRUCTURAL
ANALYSIS AND CONSTRAINT QUALIFICATIOUS 55 4.2.1 INEQUALITY CONSTRAINTS
AND THE QUALITATIVE APPROXIMATION PROPERTY 55 4.2.2 A CONSTRAINT
QUALIFICATION FOR GENERAL PC'-PROGRAMS 58 4.2.3 AN APPLICATION IN
MATHEMATICAL ECONOMICS 62 5 APPENDIX 66 ACKNOWLEDGMENTS 72 REFERENCES 73 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T16:14:22Z |
| indexdate | 2024-07-09T20:50:21Z |
| institution | BVB |
| isbn | 3825830489 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015296386 |
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| physical | 79 S. graph. Darst. |
| publishDate | 1996 |
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| spelling | Kuntz, Ludwig Verfasser aut Topological aspects of nonsmooth optimization Ludwig Kuntz Hamburg Lit 1996 79 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Uni-Press-Hochschulschriften 87 Zugl.: Karlsruhe, Univ., Habil.-Schr., 1996 Critical point theory (Mathematical analysis) Nonsmooth optimization Topologie (DE-588)4060425-1 gnd rswk-swf Nichtlineare Optimierung (DE-588)4128192-5 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Nichtglatte Optimierung (DE-588)4120798-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Optimierung (DE-588)4043664-0 s DE-604 Topologie (DE-588)4060425-1 s Nichtlineare Optimierung (DE-588)4128192-5 s Nichtglatte Optimierung (DE-588)4120798-1 s DE-188 Uni-Press-Hochschulschriften 87 (DE-604)BV021858186 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015296386&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kuntz, Ludwig Topological aspects of nonsmooth optimization Uni-Press-Hochschulschriften Critical point theory (Mathematical analysis) Nonsmooth optimization Topologie (DE-588)4060425-1 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd Optimierung (DE-588)4043664-0 gnd Nichtglatte Optimierung (DE-588)4120798-1 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4128192-5 (DE-588)4043664-0 (DE-588)4120798-1 (DE-588)4113937-9 |
| title | Topological aspects of nonsmooth optimization |
| title_auth | Topological aspects of nonsmooth optimization |
| title_exact_search | Topological aspects of nonsmooth optimization |
| title_exact_search_txtP | Topological aspects of nonsmooth optimization |
| title_full | Topological aspects of nonsmooth optimization Ludwig Kuntz |
| title_fullStr | Topological aspects of nonsmooth optimization Ludwig Kuntz |
| title_full_unstemmed | Topological aspects of nonsmooth optimization Ludwig Kuntz |
| title_short | Topological aspects of nonsmooth optimization |
| title_sort | topological aspects of nonsmooth optimization |
| topic | Critical point theory (Mathematical analysis) Nonsmooth optimization Topologie (DE-588)4060425-1 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd Optimierung (DE-588)4043664-0 gnd Nichtglatte Optimierung (DE-588)4120798-1 gnd |
| topic_facet | Critical point theory (Mathematical analysis) Nonsmooth optimization Topologie Nichtlineare Optimierung Optimierung Nichtglatte Optimierung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015296386&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021858186 |
| work_keys_str_mv | AT kuntzludwig topologicalaspectsofnonsmoothoptimization |