Linear and Nonlinear Programming:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
2016
|
| Ausgabe: | Fourth edition |
| Schriftenreihe: | International Series in Operations Research & Management Science
228 |
| Schlagworte: | |
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| Beschreibung: | 1 Online-Ressource (XIII, 546 Seiten) 90 Illustrationen |
| ISBN: | 9783319188423 |
| ISSN: | 2214-7934 |
| DOI: | 10.1007/978-3-319-18842-3 |
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Datensatz im Suchindex
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| adam_text | LINEAR AND NONLINEAR PROGRAMMING
/ LUENBERGER, DAVID G.
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
PART I LINEAR PROGRAMMING
BASIC PROPERTIES OF LINEAR PROGRAMS
THE SIMPLEX METHOD
DUALITY AND COMPLEMENTARITY
INTERIOR-POINT METHODS
CONIC LINEAR PROGRAMMING
PART II UNCONSTRAINED PROBLEMS
BASIC PROPERTIES OF SOLUTIONS AND ALGORITHMS
BASIC DESCENT METHODS
CONJUGATE DIRECTION METHODS
QUASI-NEWTON METHODS
PART III CONSTRAINED MINIMIZATION
CONSTRAINED MINIMIZATION CONDITIONS
PRIMAL METHODS
PENALTY AND BARRIER METHODS
DUALITY AND DUAL METHODS
PRIMAL-DUAL METHODS
APPENDIX A: MATHEMATICAL REVIEW
APPENDIX B: CONVEX SETS
APPENDIX C: GAUSSIAN ELIMINATION
APPENDIX D: BASIC NETWORK CONCEPTS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
LINEAR AND NONLINEAR PROGRAMMING
/ LUENBERGER, DAVID G.
: 2016
ABSTRACT / INHALTSTEXT
THIS NEW EDITION COVERS THE CENTRAL CONCEPTS OF PRACTICAL OPTIMIZATION
TECHNIQUES, WITH AN EMPHASIS ON METHODS THAT ARE BOTH STATE-OF-THE-ART
AND POPULAR. AGAIN A CONNECTION BETWEEN THE PURELY ANALYTICAL
CHARACTER OF AN OPTIMIZATION PROBLEM AND THE BEHAVIOR OF ALGORITHMS USED
TO SOLVE THE PROBLEM. AS IN THE EARLIER EDITIONS, THE MATERIAL IN THIS
FOURTH EDITION IS ORGANIZED INTO THREE SEPARATE PARTS. PART I IS A
SELF-CONTAINED INTRODUCTION TO LINEAR PROGRAMMING COVERING NUMERICAL
ALGORITHMS AND MANY OF ITS IMPORTANT SPECIAL APPLICATIONS. PART II,
WHICH IS INDEPENDENT OF PART I, COVERS THE THEORY OF UNCONSTRAINED
OPTIMIZATION, INCLUDING BOTH DERIVATIONS OF THE APPROPRIATE OPTIMALITY
CONDITIONS AND AN INTRODUCTION TO BASIC ALGORITHMS. PART III EXTENDS
THE CONCEPTS DEVELOPED IN THE SECOND PART TO CONSTRAINED OPTIMIZATION
PROBLEMS. IT IS POSSIBLE TO GO DIRECTLY INTO PARTS II AND III OMITTING
PART I, AND, IN FACT, THE BOOK HAS BEEN USED IN THIS WAY IN MANY
UNIVERSITIES. NEW TO THIS EDITION IS A CHAPTER DEVOTED TO CONIC LINEAR
PROGRAMMING, A POWERFUL GENERALIZATION OF LINEAR PROGRAMMING. INDEED,
MANY CONIC STRUCTURES ARE POSSIBLE AND USEFUL IN A VARIETY OF
APPLICATIONS. IT MUST BE RECOGNIZED, HOWEVER, THAT CONIC LINEAR
PROGRAMMING IS AN ADVANCED TOPIC, REQUIRING SPECIAL STUDY. OTHER
IMPORTANT AND POPULAR TOPICS INCLUDE (1) AN ACCELERATED STEEPEST DESCENT
METHOD THAT EXHIBITS SUPERIOR CONVERGENCE PROPERTIES AND (2) THE
ALTERNATING DIRECTION METHOD WITH MULTIPLIERS (ADMM) THAT CAN BE
IMPLEMENTED DISTRIBUTIONALLY. THE PROOF OF THE CONVERGENCE PROPERTY
FOR BOTH STANDARD AND ACCELERATED STEEPEST DESCENT METHODS ARE PRESENTED
IN CHAPTER 8, AND THE ANALYSIS OF ADMM IN CHAPTER 14 AS A DUAL METHOD.
AS IN PREVIOUS EDITIONS, END-OF-CHAPTER EXERCISES APPEAR FOR MOST
CHAPTERS. FROM THE REVIEWS OF THE THIRD EDITION “….THIS VERY
WELL-WRITTEN BOOK IS A CLASSIC TEXTBOOK IN OPTIMIZATION. IT SHOULD BE
PRESENT IN THE BOOKCASE OF EACH STUDENT, RESEARCHER, AND SPECIALIST FROM
THE HOST OF DISCIPLINES FROM WHICH PRACTICAL OPTIMIZATION APPLICATIONS
ARE DRAWN.” (JEAN-JACQUES STRODIOT, ZENTRALBLATT MATH, VOL.1207,
2011)
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| doi_str_mv | 10.1007/978-3-319-18842-3 |
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| id | DE-604.BV043211925 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-20T06:52:38Z |
| institution | BVB |
| isbn | 9783319188423 |
| issn | 2214-7934 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028635063 |
| oclc_num | 913025595 |
| open_access_boolean | |
| owner | DE-2070s DE-1043 DE-Aug4 DE-573 DE-1049 DE-703 DE-473 DE-BY-UBG DE-29 DE-863 DE-BY-FWS DE-862 DE-BY-FWS DE-92 DE-739 DE-824 DE-M347 DE-898 DE-BY-UBR DE-634 DE-1046 DE-83 DE-859 DE-861 DE-523 DE-355 DE-BY-UBR DE-706 |
| owner_facet | DE-2070s DE-1043 DE-Aug4 DE-573 DE-1049 DE-703 DE-473 DE-BY-UBG DE-29 DE-863 DE-BY-FWS DE-862 DE-BY-FWS DE-92 DE-739 DE-824 DE-M347 DE-898 DE-BY-UBR DE-634 DE-1046 DE-83 DE-859 DE-861 DE-523 DE-355 DE-BY-UBR DE-706 |
| physical | 1 Online-Ressource (XIII, 546 Seiten) 90 Illustrationen |
| psigel | ZDB-2-BUM ZDB-2-BUM_2016 |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Springer |
| record_format | marc |
| series | International Series in Operations Research & Management Science |
| series2 | International Series in Operations Research & Management Science |
| spellingShingle | Luenberger, David G. 1937- Ye, Yinyu Linear and Nonlinear Programming International Series in Operations Research & Management Science Business Operations research Decision making Mathematical models Management science Engineering economics Engineering economy Business and Management Operation Research/Decision Theory Operations Research, Management Science Mathematical Modeling and Industrial Mathematics Engineering Economics, Organization, Logistics, Marketing Mathematisches Modell Wirtschaft Nichtlineare Optimierung (DE-588)4128192-5 gnd Lineare Ordnung (DE-588)4167706-7 gnd Optimierung (DE-588)4043664-0 gnd Lineare Optimierung (DE-588)4035816-1 gnd |
| subject_GND | (DE-588)4128192-5 (DE-588)4167706-7 (DE-588)4043664-0 (DE-588)4035816-1 |
| title | Linear and Nonlinear Programming |
| title_auth | Linear and Nonlinear Programming |
| title_exact_search | Linear and Nonlinear Programming |
| title_full | Linear and Nonlinear Programming David G. Luenberger, Yinyu Ye |
| title_fullStr | Linear and Nonlinear Programming David G. Luenberger, Yinyu Ye |
| title_full_unstemmed | Linear and Nonlinear Programming David G. Luenberger, Yinyu Ye |
| title_short | Linear and Nonlinear Programming |
| title_sort | linear and nonlinear programming |
| topic | Business Operations research Decision making Mathematical models Management science Engineering economics Engineering economy Business and Management Operation Research/Decision Theory Operations Research, Management Science Mathematical Modeling and Industrial Mathematics Engineering Economics, Organization, Logistics, Marketing Mathematisches Modell Wirtschaft Nichtlineare Optimierung (DE-588)4128192-5 gnd Lineare Ordnung (DE-588)4167706-7 gnd Optimierung (DE-588)4043664-0 gnd Lineare Optimierung (DE-588)4035816-1 gnd |
| topic_facet | Business Operations research Decision making Mathematical models Management science Engineering economics Engineering economy Business and Management Operation Research/Decision Theory Operations Research, Management Science Mathematical Modeling and Industrial Mathematics Engineering Economics, Organization, Logistics, Marketing Mathematisches Modell Wirtschaft Nichtlineare Optimierung Lineare Ordnung Optimierung Lineare Optimierung |
| url | https://doi.org/10.1007/978-3-319-18842-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028635063&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=028635063&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035421305 |
| work_keys_str_mv | AT luenbergerdavidg linearandnonlinearprogramming AT yeyinyu linearandnonlinearprogramming |