Convex analysis and optimization in Hadamard spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
De Gruyter
2014
|
| Schriftenreihe: | De Gruyter series in nonlinear analysis and applications
22 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | VIII, 185 S. graph. Darst. 25 cm |
| ISBN: | 3110361035 9783110361032 9783110361636 |
Internformat
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| 100 | 1 | |a Bačák, Miroslav |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Convex analysis and optimization in Hadamard spaces |c Miroslav Bačák |
| 264 | 1 | |a Berlin [u.a.] |b De Gruyter |c 2014 | |
| 300 | |a VIII, 185 S. |b graph. Darst. |c 25 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter series in nonlinear analysis and applications |v 22 | |
| 500 | |a Literaturangaben | ||
| 650 | 4 | |a aMetric spaces | |
| 650 | 4 | |a aG-spaces | |
| 650 | 4 | |a aHadamard matrices | |
| 650 | 0 | 7 | |a Konvexe Analysis |0 (DE-588)4138566-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Konvexe Optimierung |0 (DE-588)4137027-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hadamard-Raum |0 (DE-588)1059535874 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Konvexe Analysis |0 (DE-588)4138566-4 |D s |
| 689 | 0 | 1 | |a Konvexe Optimierung |0 (DE-588)4137027-2 |D s |
| 689 | 0 | 2 | |a Hadamard-Raum |0 (DE-588)1059535874 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-3-11-036162-9 |
| 830 | 0 | |a De Gruyter series in nonlinear analysis and applications |v 22 |w (DE-604)BV005530011 |9 22 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-027658207 | |
Datensatz im Suchindex
| _version_ | 1806329839912747008 |
|---|---|
| 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 |
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| author | Bačák, Miroslav |
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| bvnumber | BV042219675 |
| classification_rvk | SK 600 SK 870 |
| ctrlnum | (OCoLC)893710667 (DE-599)DNB1051454093 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV042219675 |
| illustrated | Illustrated |
| indexdate | 2024-08-03T01:59:33Z |
| institution | BVB |
| isbn | 3110361035 9783110361032 9783110361636 |
| language | English |
| lccn | 2014029958 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027658207 |
| oclc_num | 893710667 |
| open_access_boolean | |
| owner | DE-634 DE-20 DE-83 |
| owner_facet | DE-634 DE-20 DE-83 |
| physical | VIII, 185 S. graph. Darst. 25 cm |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | De Gruyter |
| record_format | marc |
| 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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