Holdings: Introduction to the theory of nonlinear optimization

Introduction to the theory of nonlinear optimization:

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Bibliographic Details
Main Author:	Jahn, Johannes 1951- (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 1996
Edition:	2., rev. ed.
Subjects:	Niet-lineaire theorieën Optimaliseren Optimisation mathématique Théories non linéaires Mathematical optimization Nonlinear theories Nichtlineare Optimierung
Online Access:	Inhaltsverzeichnis
Physical Description:	VIII, 257 S. graph. Darst.
ISBN:	3540614079

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Record in the Search Index

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adam_text	JOHANNES JAHN INTRODUCTION TO THE THEORY OF NONLINEAR OPTIMIZATION SECOND REVISED EDITION WITH 30 FIGURES SPRINGER CONTENTS PREFACE V 1 INTRODUCTION AND PROBLEM FORMULATION 1 2 EXISTENCE THEOREMS FOR MINIMAL POINTS 7 2.1 PROBLEM FORMULATION 7 2.2 EXISTENCE THEOREMS . : 8 2.3 SET OF MINIMAL POINTS 18 2.4 APPLICATION TO APPROXIMATION PROBLEMS 19 2.5 APPLICATION TO OPTIMAL CONTROL PROBLEMS 24 EXERCISES 30 3 GENERALIZED DERIVATIVES 33 3.1 DIRECTIONAL DERIVATIVE 33 3.2 GATEAUX AND FRECHET DERIVATIVES 39 3.3 SUBDIFFERENTIAL 51 3.4 QUASIDIFFERENTIAL 59 3.5 CLARKE DERIVATIVE 69 EXERCISES ' 77 4 TANGENT CONES 81 4.1 DEFINITION AND PROPERTIES 81 4.2 OPTIMALITY CONDITIONS 91 4.3 A LYUSTERNIK THEOREM 98 EXERCISES 106 5 GENERALIZED LAGRANGE MULTIPLIER RULE 109 5.1 PROBLEM FORMULATION 109 VIII CONTENTS 5.2 NECESSARY OPTIMALITY CONDITIONS 112 5.3 SUFFICIENT OPTIMALITY CONDITIONS 130 5.4 APPLICATION TO OPTIMAL CONTROL PROBLEMS 140 EXERCISES 159 6 DUALITY 163 6.1 PROBLEM FORMULATION 163 6.2 DUALITY THEOREMS 168 6.3 SADDLE POINT THEOREMS 172 6.4 LINEAR PROBLEMS 176 6.5 APPLICATION TO APPROXIMATION PROBLEMS 179 EXERCISES 188 7 DIRECT TREATMENT OF SPECIAL OPTIMIZATION PROBLEMS 191 7.1 LINEAR QUADRATIC OPTIMAL CONTROL PROBLEMS 191 7.2 TIME MINIMAL CONTROL PROBLEMS 199 EXERCISES 216 A WEAK CONVERGENCE 219 B REFLEXIVITY OF BANACH SPACES 221 C HAHN-BANACH THEOREM 223 D PARTIALLY ORDERED LINEAR SPACES 227 BIBLIOGRAPHY 231 ANSWERS TO THE EXERCISES 247 INDEX 255
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author	Jahn, Johannes 1951-
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dewey-search	519.7/6 20 519.7/6
dewey-sort	3519.7 16 220
dewey-tens	510 - Mathematics
discipline	Mathematik Wirtschaftswissenschaften
edition	2., rev. ed.
format	Book
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spelling	Jahn, Johannes 1951- Verfasser (DE-588)104274905 aut Introduction to the theory of nonlinear optimization Johannes Jahn 2., rev. ed. Berlin [u.a.] Springer 1996 VIII, 257 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Niet-lineaire theorieën gtt Optimaliseren gtt Optimisation mathématique Optimisation mathématique ram Théories non linéaires Théories non linéaires ram Mathematical optimization Nonlinear theories Nichtlineare Optimierung (DE-588)4128192-5 gnd rswk-swf Nichtlineare Optimierung (DE-588)4128192-5 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007272499&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Jahn, Johannes 1951- Introduction to the theory of nonlinear optimization Niet-lineaire theorieën gtt Optimaliseren gtt Optimisation mathématique Optimisation mathématique ram Théories non linéaires Théories non linéaires ram Mathematical optimization Nonlinear theories Nichtlineare Optimierung (DE-588)4128192-5 gnd
subject_GND	(DE-588)4128192-5
title	Introduction to the theory of nonlinear optimization
title_auth	Introduction to the theory of nonlinear optimization
title_exact_search	Introduction to the theory of nonlinear optimization
title_full	Introduction to the theory of nonlinear optimization Johannes Jahn
title_fullStr	Introduction to the theory of nonlinear optimization Johannes Jahn
title_full_unstemmed	Introduction to the theory of nonlinear optimization Johannes Jahn
title_short	Introduction to the theory of nonlinear optimization
title_sort	introduction to the theory of nonlinear optimization
topic	Niet-lineaire theorieën gtt Optimaliseren gtt Optimisation mathématique Optimisation mathématique ram Théories non linéaires Théories non linéaires ram Mathematical optimization Nonlinear theories Nichtlineare Optimierung (DE-588)4128192-5 gnd
topic_facet	Niet-lineaire theorieën Optimaliseren Optimisation mathématique Théories non linéaires Mathematical optimization Nonlinear theories Nichtlineare Optimierung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007272499&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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