Newton-type methods for optimization and variational problems:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cham [u.a.]
Springer
2014
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Schriftenreihe: | Springer series in operations research and financial engineering
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Schlagworte: | |
Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource |
ISBN: | 9783319042466 9783319042473 |
DOI: | 10.1007/978-3-319-04247-3 |
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Datensatz im Suchindex
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adam_text | NEWTON-TYPE METHODS FOR OPTIMIZATION AND VARIATIONAL PROBLEMS
/ IZMAILOV, ALEXEY F.
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1. ELEMENTS OF OPTIMIZATION THEORY AND VARIATIONAL ANALYSIS
2. EQUATIONS AND UNCONSTRAINED OPTIMIZATION
3. VARIATIONAL PROBLEMS: LOCAL METHODS
4. CONSTRAINED OPTIMIZATION: LOCAL METHODS
5. VARIATIONAL PROBLEMS: GLOBALIZATION OF CONVERGENCE
6. CONSTRAINED OPTIMIZATION: GLOBALIZATION OF CONVERGENCE
7. DEGENERATE PROBLEMS WITH NON-ISOLATED SOLUTIONS
A. MISCELLANEOUS MATERIAL
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
NEWTON-TYPE METHODS FOR OPTIMIZATION AND VARIATIONAL PROBLEMS
/ IZMAILOV, ALEXEY F.
: 2014
ABSTRACT / INHALTSTEXT
THIS BOOK PRESENTS COMPREHENSIVE STATE-OF-THE-ART THEORETICAL ANALYSIS
OF THE FUNDAMENTAL NEWTONIAN AND NEWTONIAN-RELATED APPROACHES TO SOLVING
OPTIMIZATION AND VARIATIONAL PROBLEMS. A CENTRAL FOCUS IS THE
RELATIONSHIP BETWEEN THE BASIC NEWTON SCHEME FOR A GIVEN PROBLEM AND
ALGORITHMS THAT ALSO ENJOY FAST LOCAL CONVERGENCE. THE AUTHORS DEVELOP
GENERAL PERTURBED NEWTONIAN FRAMEWORKS THAT PRESERVE FAST CONVERGENCE
AND CONSIDER SPECIFIC ALGORITHMS AS PARTICULAR CASES WITHIN THOSE
FRAMEWORKS, I.E., AS PERTURBATIONS OF THE ASSOCIATED BASIC NEWTON
ITERATIONS. THIS APPROACH YIELDS A SET OF TOOLS FOR THE UNIFIED
TREATMENT OF VARIOUS ALGORITHMS, INCLUDING SOME NOT OF THE NEWTON TYPE
PER SE. AMONG THE NEW SUBJECTS ADDRESSED IS THE CLASS OF DEGENERATE
PROBLEMS. IN PARTICULAR, THE PHENOMENON OF ATTRACTION OF NEWTON ITERATES
TO CRITICAL LAGRANGE MULTIPLIERS AND ITS CONSEQUENCES AS WELL AS
STABILIZED NEWTON METHODS FOR VARIATIONAL PROBLEMS AND STABILIZED
SEQUENTIAL QUADRATIC PROGRAMMING FOR OPTIMIZATION. THIS VOLUME WILL BE
USEFUL TO RESEARCHERS AND GRADUATE STUDENTS IN THE FIELDS OF
OPTIMIZATION AND VARIATIONAL ANALYSIS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Izmailov, Alexey F. Solodov, Mikhail V. |
author_GND | (DE-588)1050367049 |
author_facet | Izmailov, Alexey F. Solodov, Mikhail V. |
author_role | aut aut |
author_sort | Izmailov, Alexey F. |
author_variant | a f i af afi m v s mv mvs |
building | Verbundindex |
bvnumber | BV041818408 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA |
ctrlnum | (OCoLC)875583387 (DE-599)BVBBV041818408 |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-319-04247-3 |
format | Electronic eBook |
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language | English |
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spelling | Izmailov, Alexey F. Verfasser aut Newton-type methods for optimization and variational problems Alexey F. Izmailov ; Mikhail V. Solodov Cham [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer series in operations research and financial engineering Variationsproblem (DE-588)4187419-5 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Variationsproblem (DE-588)4187419-5 s Optimierung (DE-588)4043664-0 s 1\p DE-604 Solodov, Mikhail V. Verfasser (DE-588)1050367049 aut https://doi.org/10.1007/978-3-319-04247-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027263586&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027263586&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Izmailov, Alexey F. Solodov, Mikhail V. Newton-type methods for optimization and variational problems Variationsproblem (DE-588)4187419-5 gnd Optimierung (DE-588)4043664-0 gnd |
subject_GND | (DE-588)4187419-5 (DE-588)4043664-0 |
title | Newton-type methods for optimization and variational problems |
title_auth | Newton-type methods for optimization and variational problems |
title_exact_search | Newton-type methods for optimization and variational problems |
title_full | Newton-type methods for optimization and variational problems Alexey F. Izmailov ; Mikhail V. Solodov |
title_fullStr | Newton-type methods for optimization and variational problems Alexey F. Izmailov ; Mikhail V. Solodov |
title_full_unstemmed | Newton-type methods for optimization and variational problems Alexey F. Izmailov ; Mikhail V. Solodov |
title_short | Newton-type methods for optimization and variational problems |
title_sort | newton type methods for optimization and variational problems |
topic | Variationsproblem (DE-588)4187419-5 gnd Optimierung (DE-588)4043664-0 gnd |
topic_facet | Variationsproblem Optimierung |
url | https://doi.org/10.1007/978-3-319-04247-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027263586&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027263586&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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