Holdings: Convex analysis and optimization in Hadamard spaces

Convex analysis and optimization in Hadamard spaces:

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Bibliographic Details
Main Author:	Bačák, Miroslav (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] De Gruyter 2014
Series:	De Gruyter series in nonlinear analysis and applications 22
Subjects:	aMetric spaces aG-spaces aHadamard matrices Konvexe Analysis Konvexe Optimierung Hadamard-Raum
Online Access:	Inhaltsverzeichnis Inhaltstext Inhaltsverzeichnis
Item Description:	Literaturangaben
Physical Description:	VIII, 185 S. graph. Darst. 25 cm
ISBN:	3110361035 9783110361032 9783110361636

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Record in the Search Index

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adam_text	CONTENTS PREFACE V 1 GEOMETRY OF NONPOSITIVE CURVATURE 1 1.1 GEODESIC METRIC SPACES 1 1.2 MEET HADAMARD SPACES 5 1.3 EQUIVALENT CONDITIONS FOR CAT(0) 20 2 CONVEX SETS AND CONVEX FUNCTIONS 30 2.1 CONVEX SETS 30 2.2 CONVEX FUNCTIONS 36 2.3 CONVEXITY AND PROBABILITY MEASURES 48 3 WEAK CONVERGENCE IN HADAMARD SPACES 58 3.1 EXISTENCE OF WEAK LIMITS 58 3.2 WEAK CONVERGENCE AND CONVEXITY 63 3.3 AN APPLICATION IN FIXED POINT THEORY 65 4 NONEXPANSIVE MAPPINGS 69 4.1 KIRSZBRAUN-VALENTINE EXTENSION 69 4.2 RESOLVENT OF A NONEXPANSIVE MAPPING 73 4.3 STRONGLY CONTINUOUS SEMIGROUP 76 5 GRADIENT FLOW OF A CONVEX FUNCTIONAL 86 5.1 GRADIENT FLOW SEMIGROUP 87 5.2 MOSCO CONVERGENCE AND ITS CONSEQUENCES 103 5.3 LIE-TROTTER-KATO FORMULA 108 6 CONVEX OPTIMIZATION ALGORITHMS 117 6.1 CONVEX FEASIBILITY PROBLEMS 117 6.2 FIXED POINT APPROXIMATIONS 121 6.3 PROXIMAL POINT ALGORITHM 125 7 PROBABILISTIC TOOLS IN HADAMARD SPACES 7.1 RANDOM VARIABLES AND EXPECTATIONS 7.2 LAW OF LARGE NUMBERS 141 7.3 CONDITIONAL EXPECTATIONS 145 HTTP://D-NB.INFO/1051454093 VIII CONTENTS 8 TREE SPACE AND ITS APPLICATIONS 158 8.1 CONSTRUCTION OF THE BHV TREE SPACE 158 8.2 OWEN-PROVAN ALGORITHM 161 8.3 MEDIANS AND MEANS OF TREES 165 REFERENCES 173 INDEX 183
any_adam_object	1
author	Bačák, Miroslav
author_facet	Bačák, Miroslav
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author_sort	Bačák, Miroslav
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classification_rvk	SK 600 SK 870
ctrlnum	(OCoLC)893710667 (DE-599)DNB1051454093
discipline	Mathematik
format	Book
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isbn	3110361035 9783110361032 9783110361636
language	English
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physical	VIII, 185 S. graph. Darst. 25 cm
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series	De Gruyter series in nonlinear analysis and applications
series2	De Gruyter series in nonlinear analysis and applications
spelling	Bačák, Miroslav Verfasser aut Convex analysis and optimization in Hadamard spaces Miroslav Bačák Berlin [u.a.] De Gruyter 2014 VIII, 185 S. graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier De Gruyter series in nonlinear analysis and applications 22 Literaturangaben aMetric spaces aG-spaces aHadamard matrices Konvexe Analysis (DE-588)4138566-4 gnd rswk-swf Konvexe Optimierung (DE-588)4137027-2 gnd rswk-swf Hadamard-Raum (DE-588)1059535874 gnd rswk-swf Konvexe Analysis (DE-588)4138566-4 s Konvexe Optimierung (DE-588)4137027-2 s Hadamard-Raum (DE-588)1059535874 s DE-604 Erscheint auch als Online-Ausgabe, PDF 978-3-11-036162-9 De Gruyter series in nonlinear analysis and applications 22 (DE-604)BV005530011 22 application/pdf http://d-nb.info/1051454093/04 Inhaltsverzeichnis text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4676420&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027658207&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Bačák, Miroslav Convex analysis and optimization in Hadamard spaces De Gruyter series in nonlinear analysis and applications aMetric spaces aG-spaces aHadamard matrices Konvexe Analysis (DE-588)4138566-4 gnd Konvexe Optimierung (DE-588)4137027-2 gnd Hadamard-Raum (DE-588)1059535874 gnd
subject_GND	(DE-588)4138566-4 (DE-588)4137027-2 (DE-588)1059535874
title	Convex analysis and optimization in Hadamard spaces
title_auth	Convex analysis and optimization in Hadamard spaces
title_exact_search	Convex analysis and optimization in Hadamard spaces
title_full	Convex analysis and optimization in Hadamard spaces Miroslav Bačák
title_fullStr	Convex analysis and optimization in Hadamard spaces Miroslav Bačák
title_full_unstemmed	Convex analysis and optimization in Hadamard spaces Miroslav Bačák
title_short	Convex analysis and optimization in Hadamard spaces
title_sort	convex analysis and optimization in hadamard spaces
topic	aMetric spaces aG-spaces aHadamard matrices Konvexe Analysis (DE-588)4138566-4 gnd Konvexe Optimierung (DE-588)4137027-2 gnd Hadamard-Raum (DE-588)1059535874 gnd
topic_facet	aMetric spaces aG-spaces aHadamard matrices Konvexe Analysis Konvexe Optimierung Hadamard-Raum
url	http://d-nb.info/1051454093/04 http://deposit.dnb.de/cgi-bin/dokserv?id=4676420&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027658207&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV005530011
work_keys_str_mv	AT bacakmiroslav convexanalysisandoptimizationinhadamardspaces

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