Levenberg-Marquardt algorithms for nonlinear equations, multi-objective optimization, and complementarity problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Aachen
Shaker
2010
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| Series: | Operations research
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zsfassung in dt. Sprache |
| Physical Description: | XII, 145 S. graph. Darst. 21 cm |
| ISBN: | 9783832290054 |
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Record in the Search Index
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| adam_text | CONTENTS INTRODUCTION 1 1.1 OVERVIEW ] 1.2 PROBLEMS 3 1.3 ALGORITHMIC
PRINCIPLES AND PRELIMINARIES 5 ROBUST LEVENBERG-MARQUARDT ALGORITHMS FOR
NONLINEAR EQUA- TIONS 7 2.1 INTRODUCTION 7 2.2 LOCAL CONVERGENCE
ANALYSIS 10 2.3 A PROJECTED ROBUST LEVENBERG-MARQUARDT ALGORITHM 18 2.4
COMPUTATIONAL RESULTS 21 2.5 DISCUSSION 23 A LEVENBERG-MARQUARDT
ALGORITHM FOR MULTI-OBJECTIVE OPTIMIZA- TION 25 3.1 INTRODUCTION 25 3.2
EXISTENCE OF A LOCAL ERROR BOUND 27 3.3 CONVERGENCE OF A CONSTRAINED
LEVENBERG-MARQUARDT METHOD . . . 29 3.4 RESULTS UNDER CONVEXITY
ASSUMPTIONS . !2 3.5 COMPUTATIONAL RESULTS 33 3.6 DISCUSSION 3FI A
SIMULTANEOUS DESCENT LEVENBERG-MARQUARDT ALGORITHM FOR MULTI-OBJECTIVE
OPTIMIZATION 37 4.1 INTRODUCTION 37 4.2 THE LEVENBERG-MARQUARDT
ALGORITHM WITH SIMULTANEOUS DESCENT 38 4.3 CONVERGENCE OF ALGORITHM 4.1
4(1 4.4 A DUALITY BASED METHOD FOR SOLVING (P(Z)) 58 4.5 RESULTS UNDER
CONVEXITY/ NON-SINGULARITY ASSUMPTIONS 63 4.6 DISCUSSION 78
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1001143396 DIGITALISIERT
DURCH CONTENTS 5 LEVENBERG-MARQUARDT ALGORITHMS FOR NONLINEAR
COMPLEMENTAR- ITY PROBLEMS 80 5.1 INTRODUCTION 80 5.2 PRELIMINARIES 82
5.3 EXISTING SMOOTHNESS ASSUMPTION 93 5.4 FUNDAMENTAL IDENTITIES FOR
NONSMOOTH HOMOGENEOUS FUNCTIONS . 100 5.5 NEW SMOOTHNESS ASSUMPTION 104
5.5.1 DISCUSSION OF CONDITION 5.5.1 106 5.5.2 DISCUSSION OF CONDITION
5.5.2 126 6 CONCLUSIONS AND OUTLOOK 135 6.1 CONCLUSIONS 135 6.2 OUTLOOK
136 REFERENCES 145
|
| any_adam_object | 1 |
| author | Shukla, Pradyumn Kumar 1981- |
| author_GND | (DE-588)140984453 |
| author_facet | Shukla, Pradyumn Kumar 1981- |
| author_role | aut |
| author_sort | Shukla, Pradyumn Kumar 1981- |
| author_variant | p k s pk pks |
| building | Verbundindex |
| bvnumber | BV036494640 |
| classification_rvk | SK 870 |
| ctrlnum | (OCoLC)612328879 (DE-599)DNB1001143396 |
| dewey-full | 519.7 518.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics 518 - Numerical analysis |
| dewey-raw | 519.7 518.1 |
| dewey-search | 519.7 518.1 |
| dewey-sort | 3519.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| id | DE-604.BV036494640 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:41:37Z |
| institution | BVB |
| isbn | 9783832290054 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020417189 |
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| physical | XII, 145 S. graph. Darst. 21 cm |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Shaker |
| record_format | marc |
| series2 | Operations research |
| spelling | Shukla, Pradyumn Kumar 1981- Verfasser (DE-588)140984453 aut Levenberg-Marquardt algorithms for nonlinear equations, multi-objective optimization, and complementarity problems Pradyumn Kumar Shukla Aachen Shaker 2010 XII, 145 S. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Operations research Zsfassung in dt. Sprache Zugl.: Dresden, Techn. Univ., Diss., 2010 Mehrkriterielle Optimierung (DE-588)4610682-0 gnd rswk-swf Levenberg-Marquardt-Algorithmus (DE-588)7700351-2 gnd rswk-swf Nichtlineares Gleichungssystem (DE-588)4202607-6 gnd rswk-swf Komplementaritätsproblem (DE-588)4164877-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Nichtlineares Gleichungssystem (DE-588)4202607-6 s Mehrkriterielle Optimierung (DE-588)4610682-0 s Komplementaritätsproblem (DE-588)4164877-8 s Levenberg-Marquardt-Algorithmus (DE-588)7700351-2 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020417189&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Shukla, Pradyumn Kumar 1981- Levenberg-Marquardt algorithms for nonlinear equations, multi-objective optimization, and complementarity problems Mehrkriterielle Optimierung (DE-588)4610682-0 gnd Levenberg-Marquardt-Algorithmus (DE-588)7700351-2 gnd Nichtlineares Gleichungssystem (DE-588)4202607-6 gnd Komplementaritätsproblem (DE-588)4164877-8 gnd |
| subject_GND | (DE-588)4610682-0 (DE-588)7700351-2 (DE-588)4202607-6 (DE-588)4164877-8 (DE-588)4113937-9 |
| title | Levenberg-Marquardt algorithms for nonlinear equations, multi-objective optimization, and complementarity problems |
| title_auth | Levenberg-Marquardt algorithms for nonlinear equations, multi-objective optimization, and complementarity problems |
| title_exact_search | Levenberg-Marquardt algorithms for nonlinear equations, multi-objective optimization, and complementarity problems |
| title_full | Levenberg-Marquardt algorithms for nonlinear equations, multi-objective optimization, and complementarity problems Pradyumn Kumar Shukla |
| title_fullStr | Levenberg-Marquardt algorithms for nonlinear equations, multi-objective optimization, and complementarity problems Pradyumn Kumar Shukla |
| title_full_unstemmed | Levenberg-Marquardt algorithms for nonlinear equations, multi-objective optimization, and complementarity problems Pradyumn Kumar Shukla |
| title_short | Levenberg-Marquardt algorithms for nonlinear equations, multi-objective optimization, and complementarity problems |
| title_sort | levenberg marquardt algorithms for nonlinear equations multi objective optimization and complementarity problems |
| topic | Mehrkriterielle Optimierung (DE-588)4610682-0 gnd Levenberg-Marquardt-Algorithmus (DE-588)7700351-2 gnd Nichtlineares Gleichungssystem (DE-588)4202607-6 gnd Komplementaritätsproblem (DE-588)4164877-8 gnd |
| topic_facet | Mehrkriterielle Optimierung Levenberg-Marquardt-Algorithmus Nichtlineares Gleichungssystem Komplementaritätsproblem Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020417189&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT shuklapradyumnkumar levenbergmarquardtalgorithmsfornonlinearequationsmultiobjectiveoptimizationandcomplementarityproblems |