Numerical optimization with computational errors:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Cham]
Springer
[2016]
|
| Schriftenreihe: | Springer optimization and its applications
volume 108 |
| Schlagworte: | |
| Online-Zugang: | DE-634 DE-898 DE-861 DE-91 DE-19 DE-703 DE-20 DE-824 DE-739 URL des Erstveröffentlichers Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (IX, 304 Seiten) |
| ISBN: | 9783319309217 |
| DOI: | 10.1007/978-3-319-30921-7 |
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Datensatz im Suchindex
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|---|---|
| adam_text |
NUMERICAL OPTIMIZATION WITH COMPUTATIONAL ERRORS
/ ZASLAVSKI, ALEXANDER J.
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1. INTRODUCTION
2. SUBGRADIENT PROJECTION ALGORITHM
3. THE MIRROR DESCENT ALGORITHM
4. GRADIENT ALGORITHM WITH A SMOOTH OBJECTIVE FUNCTION
5. AN EXTENSION OF THE GRADIENT ALGORITHM
6. WEISZFELD'S METHOD
7. THE EXTRAGRADIENT METHOD FOR CONVEX OPTIMIZATION
8. A PROJECTED SUBGRADIENT METHOD FOR NONSMOOTH PROBLEMS
9. PROXIMAL POINT METHOD IN HILBERT SPACES
10. PROXIMAL POINT METHODS IN METRIC SPACES
11. MAXIMAL MONOTONE OPERATORS AND THE PROXIMAL POINT ALGORITHM
12. THE EXTRAGRADIENT METHOD FOR SOLVING VARIATIONAL INEQUALITIES
13. A COMMON SOLUTION OF A FAMILY OF VARIATIONAL INEQUALITIES
14. CONTINUOUS SUBGRADIENT METHOD
15. PENALTY METHODS
16. NEWTON'S METHOD
REFERENCES
INDEX.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
NUMERICAL OPTIMIZATION WITH COMPUTATIONAL ERRORS
/ ZASLAVSKI, ALEXANDER J.
: 2016
ABSTRACT / INHALTSTEXT
THIS BOOK STUDIES THE APPROXIMATE SOLUTIONS OF OPTIMIZATION PROBLEMS IN
THE PRESENCE OF COMPUTATIONAL ERRORS. A NUMBER OF RESULTS ARE PRESENTED
ON THE CONVERGENCE BEHAVIOR OF ALGORITHMS IN A HILBERT SPACE; THESE
ALGORITHMS ARE EXAMINED TAKING INTO ACCOUNT COMPUTATIONAL ERRORS. THE
AUTHOR ILLUSTRATES THAT ALGORITHMS GENERATE A GOOD APPROXIMATE SOLUTION,
IF COMPUTATIONAL ERRORS ARE BOUNDED FROM ABOVE BY A SMALL POSITIVE
CONSTANT. KNOWN COMPUTATIONAL ERRORS ARE EXAMINED WITH THE AIM OF
DETERMINING AN APPROXIMATE SOLUTION. RESEARCHERS AND STUDENTS INTERESTED
IN THE OPTIMIZATION THEORY AND ITS APPLICATIONS WILL FIND THIS BOOK
INSTRUCTIVE AND INFORMATIVE. THIS MONOGRAPH CONTAINS 16 CHAPTERS;
INCLUDING A CHAPTERS DEVOTED TO THE SUBGRADIENT PROJECTION ALGORITHM,
THE MIRROR DESCENT ALGORITHM, GRADIENT PROJECTION ALGORITHM, THE
WEISZFELDS METHOD, CONSTRAINED CONVEX MINIMIZATION PROBLEMS, THE
CONVERGENCE OF A PROXIMAL POINT METHOD IN A HILBERT SPACE, THE
CONTINUOUS SUBGRADIENT METHOD, PENALTY METHODS AND NEWTON’S METHOD
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. |
| any_adam_object | 1 |
| author | Zaslavskij, Aleksandr J. 1957- |
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| discipline | Mathematik |
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| spelling | Zaslavskij, Aleksandr J. 1957- Verfasser (DE-588)171024672 aut Numerical optimization with computational errors Alexander J. Zaslavski [Cham] Springer [2016] © 2016 1 Online-Ressource (IX, 304 Seiten) txt rdacontent c rdamedia cr rdacarrier Springer optimization and its applications volume 108 Mathematics Numerical analysis Calculus of variations Operations research Management science Calculus of Variations and Optimal Control; Optimization Numerical Analysis Operations Research, Management Science Mathematik Erscheint auch als Druckausgabe 978-3-319-30920-0 Springer optimization and its applications volume 108 (DE-604)BV039769482 108 https://doi.org/10.1007/978-3-319-30921-7 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961665&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=028961665&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Zaslavskij, Aleksandr J. 1957- Numerical optimization with computational errors Springer optimization and its applications Mathematics Numerical analysis Calculus of variations Operations research Management science Calculus of Variations and Optimal Control; Optimization Numerical Analysis Operations Research, Management Science Mathematik |
| title | Numerical optimization with computational errors |
| title_auth | Numerical optimization with computational errors |
| title_exact_search | Numerical optimization with computational errors |
| title_full | Numerical optimization with computational errors Alexander J. Zaslavski |
| title_fullStr | Numerical optimization with computational errors Alexander J. Zaslavski |
| title_full_unstemmed | Numerical optimization with computational errors Alexander J. Zaslavski |
| title_short | Numerical optimization with computational errors |
| title_sort | numerical optimization with computational errors |
| topic | Mathematics Numerical analysis Calculus of variations Operations research Management science Calculus of Variations and Optimal Control; Optimization Numerical Analysis Operations Research, Management Science Mathematik |
| topic_facet | Mathematics Numerical analysis Calculus of variations Operations research Management science Calculus of Variations and Optimal Control; Optimization Numerical Analysis Operations Research, Management Science Mathematik |
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