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Numerica: a modeling language for global optimization

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Bibliographic Details
Main Authors:	Van Hentenryck, Pascal 1963- (Author), Michel, Laurent (Author), Deville, Yves (Author)
Format:	Book
Language:	English
Published:	Cambridge, Mass. MIT Press 1997
Subjects:	Numerica Mathematical optimization Nonlinear programming Programm Globale Optimierung Nichtlineare Optimierung Numerisches Verfahren
Online Access:	Inhaltsverzeichnis
Physical Description:	XVII, 210 S. Ill., graph. Darst.
ISBN:	0262720272

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MARC


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adam_text	IMAGE 1 NUMERICA A MODELING LANGUAGE FOR GLOBAL OPTIMIZATION PASCAL VAN HENTENRYCK BROWN UNIVERSITY PROVIDENCE, RHODE ISLAND LAURENT MICHEL BROWN UNIVERSITY PROVIDENCE, RHODE ISLAND YVES DEVILLE UNIVERSITE CATHOLIQUE DE LOUVAIN LOUVAIN-LA-NEUVE, BELGIUM THE MIT PRESS CAMBRIDGE, MASSACHUSETTS LONDON, ENGLAND IMAGE 2 CONTENTS LIST OF TABLES VIII LIST OF FIGURES IX LIST OF STATEMENTS XI PREFACE XIUE L L 6 13 16 18 19 19 22 23 25 25 26 28 28 30 33 34 36 36 37 39 40 1 1.1 1.2 1.3 1.4 1.5 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 2.10 2.11 2.12 2.13 2.14 2.15 2.16 INTRODUCTION NONLINEAR PROGRAMMING LOCAL METHODS GLOBAL METHODS NUMERICA OUTLINE A TOUR OF NUMERICA GETTING STARTED GENERIC CONSTRAINTS CONSTANTS RANGES INPUT PARAMETERS AGGREGATION OPERATORS FUNCTIONS SETS/ UNCONSTRAINED OPTIMIZATION CONSTRAINED OPTIMIZATION LOCAL CONSTRAINT SOLVING LOCAL UNCONSTRAINED OPTIMIZATION SOFT CONSTRAINTS REAL CONSTANTS AND UNCERTAIN DATA DISPLAY ACCURACY IMAGE 3 VI 3 THE MEANING OF NUMERICA 3.1 INTERVAL ANALYSIS 3.2 CONSTRAINT SOLVING 3.3 UNCONSTRAINED OPTIMIZATION 3.4 INTERPRETATION OF THE RESULTS 4 MODELING IN NUMERICA 4.1 WHAT CAN GO WRONG IN NUMERICA 4.2 IMPROVING NUMERICA STATEMENTS 5 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 5.10 5.11 THE SYNTAX OF NUMERICA OVERALL STRUCTURE EXPRESSIONS THE CONSTANT SECTION THE INPUT SECTION THE SET SECTION THE VARIABLE SECTION THE FUNCTION SECTION THE BODY SECTION THE DISPLAY SECTION THE PRAGMA SECTION SCOPING RULES 6 THE SEMANTICS OF NUMERICA 6.1 INTERVAL ARITHMETIC 6.2 SEMANTICS OF CONSTRAINT SOLVING 6.3 SEMANTICS OF UNCONSTRAINED MINIMIZATION 6.4 SEMANTICS OF CONSTRAINED MINIMIZATION 6.5 NON-CANONICAL BOXES IMAGE 4 CONTENTS V LL 7 AN IMPLEMENTATION OF NUMERICA 121 7.1 OVERVIEW OF THE ALGORITHM 121 7.2 DOMAIN-SPECINC AND MONOTONIE INTERVAL EXTENSIONS 123 7.3 CONSTRAINT SOLVING 124 7.4 UNCONSTRAINED OPTIMIZATION 128 7.5 CONSTRAINED OPTIMIZATION 131 7.6 ADVANCED TECHNIQUES 132 7.7 AN IMPLEMENTATION OF BOX CONSISTENCY 137 8 EXPERIMENTAL RESULTS 141 8.1 CONSTRAINT SOLVING 141 8.2 UNCONSTRAINED OPTIMIZATION 147 8.3 CONSTRAINED OPTIMIZATION 157 APPENDIX 1: SYNTAX OF NUMERICA 162 APPENDIX 2: BENCHMARKS 170 BIBLIOGRAPHY 203 INDEX 207 »
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author	Van Hentenryck, Pascal 1963- Michel, Laurent Deville, Yves
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dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
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isbn	0262720272
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physical	XVII, 210 S. Ill., graph. Darst.
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spelling	Van Hentenryck, Pascal 1963- Verfasser (DE-588)115539751 aut Numerica a modeling language for global optimization Pascal VanHentenryck ; Laurent Michel ; Yves Deville Cambridge, Mass. MIT Press 1997 XVII, 210 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Numerica Mathematical optimization Nonlinear programming Programm (DE-588)4047394-6 gnd rswk-swf Globale Optimierung (DE-588)4140067-7 gnd rswk-swf Nichtlineare Optimierung (DE-588)4128192-5 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Nichtlineare Optimierung (DE-588)4128192-5 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Globale Optimierung (DE-588)4140067-7 s Programm (DE-588)4047394-6 s Michel, Laurent Verfasser (DE-588)1070478253 aut Deville, Yves Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007756390&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Van Hentenryck, Pascal 1963- Michel, Laurent Deville, Yves Numerica a modeling language for global optimization Numerica Mathematical optimization Nonlinear programming Programm (DE-588)4047394-6 gnd Globale Optimierung (DE-588)4140067-7 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd Numerisches Verfahren (DE-588)4128130-5 gnd
subject_GND	(DE-588)4047394-6 (DE-588)4140067-7 (DE-588)4128192-5 (DE-588)4128130-5
title	Numerica a modeling language for global optimization
title_auth	Numerica a modeling language for global optimization
title_exact_search	Numerica a modeling language for global optimization
title_full	Numerica a modeling language for global optimization Pascal VanHentenryck ; Laurent Michel ; Yves Deville
title_fullStr	Numerica a modeling language for global optimization Pascal VanHentenryck ; Laurent Michel ; Yves Deville
title_full_unstemmed	Numerica a modeling language for global optimization Pascal VanHentenryck ; Laurent Michel ; Yves Deville
title_short	Numerica
title_sort	numerica a modeling language for global optimization
title_sub	a modeling language for global optimization
topic	Numerica Mathematical optimization Nonlinear programming Programm (DE-588)4047394-6 gnd Globale Optimierung (DE-588)4140067-7 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd Numerisches Verfahren (DE-588)4128130-5 gnd
topic_facet	Numerica Mathematical optimization Nonlinear programming Programm Globale Optimierung Nichtlineare Optimierung Numerisches Verfahren
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007756390&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT vanhentenryckpascal numericaamodelinglanguageforglobaloptimization AT michellaurent numericaamodelinglanguageforglobaloptimization AT devilleyves numericaamodelinglanguageforglobaloptimization

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