Newton-type methods for optimization and variational problems
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| Sprache: | English |
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Springer
2014
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| Schriftenreihe: | Springer series in operations research and financial engineering
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| Online-Zugang: | DE-634 DE-861 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract |
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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 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-04247-3 |
| format | Electronic eBook |
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| id | DE-604.BV041818408 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-03T17:41:49Z |
| institution | BVB |
| isbn | 9783319042466 9783319042473 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027263586 |
| oclc_num | 875583387 |
| open_access_boolean | |
| owner | DE-703 DE-91 DE-BY-TUM DE-739 DE-20 DE-19 DE-BY-UBM DE-634 DE-861 DE-384 DE-83 |
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| physical | 1 Online-Ressource |
| psigel | ZDB-2-SMA |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer series in operations research and financial engineering |
| 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 |
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