Internformat: Convex analysis and optimization in Hadamard spaces /

Convex analysis and optimization in Hadamard spaces /:

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1. Verfasser:	Bacák, Miroslav (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Berlin ; Boston : De Gruyter, [2014]
Schriftenreihe:	De Gruyter series in nonlinear analysis and applications ; 22.
Schlagworte:	Metric spaces. G-spaces. Hadamard matrices. Espaces métriques. Matrices d'Hadamard. MATHEMATICS > General. G-spaces Hadamard matrices Metric spaces Konvexe Analysis Konvexe Optimierung Hadamard-Raum Convex analysis. Convex optimization. Geodesic convexity. Hadamard space. Metric geometry. Nonpositive curvature.
Online-Zugang:	Volltext
Zusammenfassung:	<!Doctype html public ""-//w3c//dtd html 4.0 transitional//en""> <html><head> <meta content=""text/html; charset=iso-8859-1"" http-equiv=content-type> <meta name=generator content=""mshtml 8.00.6001.23580""></head> <body> This book gives a first systematic account on the subject of convex analysis and optimization in Hadamard spaces. It is primarily aimed at both graduate students and researchers in analysis and optimization. </body></html>
Beschreibung:	1 online resource (viii, 185 pages .)
Bibliographie:	Includes bibliographical references and index.
ISBN:	3110361620 9783110361629 3110391082 9783110391084

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MARC


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100	1		\|a Bacák, Miroslav, \|e author.
245	1	0	\|a Convex analysis and optimization in Hadamard spaces / \|c Miroslav Bacák.
264		1	\|a Berlin ; \|a Boston : \|b De Gruyter, \|c [2014]
300			\|a 1 online resource (viii, 185 pages .)
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490	1		\|a De Gruyter series in nonlinear analysis and applications ; \|v volume 22
504			\|a Includes bibliographical references and index.
588	0		\|a Print version record.
505	0		\|a Preface; 1 Geometry of nonpositive curvature; 1.1 Geodesic metric spaces; 1.2 Meet Hadamard spaces; 1.3 Equivalent conditions for CAT(0); 2 Convex sets and convex functions; 2.1 Convex sets; 2.2 Convex functions; 2.3 Convexity and probability measures; 3 Weak convergence in Hadamard spaces; 3.1 Existence of weak limits; 3.2 Weak convergence and convexity; 3.3 An application in fixed point theory; 4 Nonexpansive mappings; 4.1 Kirszbraun-Valentine extension; 4.2 Resolvent of a nonexpansive mapping; 4.3 Strongly continuous semigroup; 5 Gradient flow of a convex functional.
505	8		\|a 5.1 Gradient flow semigroup5.2 Mosco convergence and its consequences; 5.3 Lie-Trotter-Kato formula; 6 Convex optimization algorithms; 6.1 Convex feasibility problems; 6.2 Fixed point approximations; 6.3 Proximal point algorithm; 7 Probabilistic tools in Hadamard spaces; 7.1 Random variables and expectations; 7.2 Law of large numbers; 7.3 Conditional expectations; 8 Tree space and its applications; 8.1 Construction of the BHV tree space; 8.2 Owen-Provan algorithm; 8.3 Medians and means of trees; References; Index.
520			\|a <!Doctype html public ""-//w3c//dtd html 4.0 transitional//en""> <html><head> <meta content=""text/html; charset=iso-8859-1"" http-equiv=content-type> <meta name=generator content=""mshtml 8.00.6001.23580""></head> <body> This book gives a first systematic account on the subject of convex analysis and optimization in Hadamard spaces. It is primarily aimed at both graduate students and researchers in analysis and optimization. </body></html>
546			\|a In English.
650		0	\|a Metric spaces. \|0 http://id.loc.gov/authorities/subjects/sh85084441
650		0	\|a G-spaces. \|0 http://id.loc.gov/authorities/subjects/sh87000628
650		0	\|a Hadamard matrices. \|0 http://id.loc.gov/authorities/subjects/sh85058183
650		6	\|a Espaces métriques.
650		6	\|a Matrices d'Hadamard.
650		7	\|a MATHEMATICS \|x General. \|2 bisacsh
650		7	\|a G-spaces \|2 fast
650		7	\|a Hadamard matrices \|2 fast
650		7	\|a Metric spaces \|2 fast
650		7	\|a Konvexe Analysis \|2 gnd \|0 http://d-nb.info/gnd/4138566-4
650		7	\|a Konvexe Optimierung \|2 gnd \|0 http://d-nb.info/gnd/4137027-2
650		7	\|a Hadamard-Raum \|2 gnd \|0 http://d-nb.info/gnd/1059535874
653			\|a Convex analysis.
653			\|a Convex optimization.
653			\|a Geodesic convexity.
653			\|a Hadamard space.
653			\|a Metric geometry.
653			\|a Nonpositive curvature.
758			\|i has work: \|a Convex analysis and optimization in Hadamard spaces (Text) \|1 https://id.oclc.org/worldcat/entity/E39PCXJvhCg7dF9HtkHp9gr9wy \|4 https://id.oclc.org/worldcat/ontology/hasWork
776	0	8	\|i Print version: \|a Bacák, Miroslav. \|t Convex analysis and optimization in Hadamard spaces. \|d Berlin ; Boston : De Gruyter, [2014] \|z 9783110361032 \|z 3110361035 \|w (DLC) 2014029958
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contents	Preface; 1 Geometry of nonpositive curvature; 1.1 Geodesic metric spaces; 1.2 Meet Hadamard spaces; 1.3 Equivalent conditions for CAT(0); 2 Convex sets and convex functions; 2.1 Convex sets; 2.2 Convex functions; 2.3 Convexity and probability measures; 3 Weak convergence in Hadamard spaces; 3.1 Existence of weak limits; 3.2 Weak convergence and convexity; 3.3 An application in fixed point theory; 4 Nonexpansive mappings; 4.1 Kirszbraun-Valentine extension; 4.2 Resolvent of a nonexpansive mapping; 4.3 Strongly continuous semigroup; 5 Gradient flow of a convex functional. 5.1 Gradient flow semigroup5.2 Mosco convergence and its consequences; 5.3 Lie-Trotter-Kato formula; 6 Convex optimization algorithms; 6.1 Convex feasibility problems; 6.2 Fixed point approximations; 6.3 Proximal point algorithm; 7 Probabilistic tools in Hadamard spaces; 7.1 Random variables and expectations; 7.2 Law of large numbers; 7.3 Conditional expectations; 8 Tree space and its applications; 8.1 Construction of the BHV tree space; 8.2 Owen-Provan algorithm; 8.3 Medians and means of trees; References; Index.
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Meet Hadamard spaces; 1.3 Equivalent conditions for CAT(0); 2 Convex sets and convex functions; 2.1 Convex sets; 2.2 Convex functions; 2.3 Convexity and probability measures; 3 Weak convergence in Hadamard spaces; 3.1 Existence of weak limits; 3.2 Weak convergence and convexity; 3.3 An application in fixed point theory; 4 Nonexpansive mappings; 4.1 Kirszbraun-Valentine extension; 4.2 Resolvent of a nonexpansive mapping; 4.3 Strongly continuous semigroup; 5 Gradient flow of a convex functional.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">5.1 Gradient flow semigroup5.2 Mosco convergence and its consequences; 5.3 Lie-Trotter-Kato formula; 6 Convex optimization algorithms; 6.1 Convex feasibility problems; 6.2 Fixed point approximations; 6.3 Proximal point algorithm; 7 Probabilistic tools in Hadamard spaces; 7.1 Random variables and expectations; 7.2 Law of large numbers; 7.3 Conditional expectations; 8 Tree space and its applications; 8.1 Construction of 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It is primarily aimed at both graduate students and researchers in analysis and optimization. </body></html></subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Metric spaces.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85084441</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">G-spaces.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh87000628</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Hadamard matrices.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85058183</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Espaces métriques.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Matrices d'Hadamard.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">G-spaces</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Hadamard matrices</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Metric spaces</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Konvexe Analysis</subfield><subfield code="2">gnd</subfield><subfield code="0">http://d-nb.info/gnd/4138566-4</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Konvexe Optimierung</subfield><subfield code="2">gnd</subfield><subfield code="0">http://d-nb.info/gnd/4137027-2</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Hadamard-Raum</subfield><subfield code="2">gnd</subfield><subfield code="0">http://d-nb.info/gnd/1059535874</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Convex analysis.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Convex optimization.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Geodesic convexity.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hadamard space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Metric geometry.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Nonpositive curvature.</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Convex analysis and optimization in Hadamard spaces (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCXJvhCg7dF9HtkHp9gr9wy</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Bacák, Miroslav.</subfield><subfield code="t">Convex analysis and optimization in Hadamard spaces.</subfield><subfield code="d">Berlin ; 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id	ZDB-4-EBA-ocn899328052
illustrated	Illustrated
indexdate	2024-11-27T13:26:24Z
institution	BVB
isbn	3110361620 9783110361629 3110391082 9783110391084
language	English
oclc_num	899328052
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owner	MAIN DE-863 DE-BY-FWS
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physical	1 online resource (viii, 185 pages .)
psigel	ZDB-4-EBA
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	Bacák, Miroslav, author. Convex analysis and optimization in Hadamard spaces / Miroslav Bacák. Berlin ; Boston : De Gruyter, [2014] 1 online resource (viii, 185 pages .) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file De Gruyter series in nonlinear analysis and applications ; volume 22 Includes bibliographical references and index. Print version record. Preface; 1 Geometry of nonpositive curvature; 1.1 Geodesic metric spaces; 1.2 Meet Hadamard spaces; 1.3 Equivalent conditions for CAT(0); 2 Convex sets and convex functions; 2.1 Convex sets; 2.2 Convex functions; 2.3 Convexity and probability measures; 3 Weak convergence in Hadamard spaces; 3.1 Existence of weak limits; 3.2 Weak convergence and convexity; 3.3 An application in fixed point theory; 4 Nonexpansive mappings; 4.1 Kirszbraun-Valentine extension; 4.2 Resolvent of a nonexpansive mapping; 4.3 Strongly continuous semigroup; 5 Gradient flow of a convex functional. 5.1 Gradient flow semigroup5.2 Mosco convergence and its consequences; 5.3 Lie-Trotter-Kato formula; 6 Convex optimization algorithms; 6.1 Convex feasibility problems; 6.2 Fixed point approximations; 6.3 Proximal point algorithm; 7 Probabilistic tools in Hadamard spaces; 7.1 Random variables and expectations; 7.2 Law of large numbers; 7.3 Conditional expectations; 8 Tree space and its applications; 8.1 Construction of the BHV tree space; 8.2 Owen-Provan algorithm; 8.3 Medians and means of trees; References; Index. <!Doctype html public ""-//w3c//dtd html 4.0 transitional//en""> <html><head> <meta content=""text/html; charset=iso-8859-1"" http-equiv=content-type> <meta name=generator content=""mshtml 8.00.6001.23580""></head> <body> This book gives a first systematic account on the subject of convex analysis and optimization in Hadamard spaces. It is primarily aimed at both graduate students and researchers in analysis and optimization. </body></html> In English. Metric spaces. http://id.loc.gov/authorities/subjects/sh85084441 G-spaces. http://id.loc.gov/authorities/subjects/sh87000628 Hadamard matrices. http://id.loc.gov/authorities/subjects/sh85058183 Espaces métriques. Matrices d'Hadamard. MATHEMATICS General. bisacsh G-spaces fast Hadamard matrices fast Metric spaces fast Konvexe Analysis gnd http://d-nb.info/gnd/4138566-4 Konvexe Optimierung gnd http://d-nb.info/gnd/4137027-2 Hadamard-Raum gnd http://d-nb.info/gnd/1059535874 Convex analysis. Convex optimization. Geodesic convexity. Hadamard space. Metric geometry. Nonpositive curvature. has work: Convex analysis and optimization in Hadamard spaces (Text) https://id.oclc.org/worldcat/entity/E39PCXJvhCg7dF9HtkHp9gr9wy https://id.oclc.org/worldcat/ontology/hasWork Print version: Bacák, Miroslav. Convex analysis and optimization in Hadamard spaces. Berlin ; Boston : De Gruyter, [2014] 9783110361032 3110361035 (DLC) 2014029958 De Gruyter series in nonlinear analysis and applications ; 22. http://id.loc.gov/authorities/names/n92047842 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=887035 Volltext
spellingShingle	Bacák, Miroslav Convex analysis and optimization in Hadamard spaces / De Gruyter series in nonlinear analysis and applications ; Preface; 1 Geometry of nonpositive curvature; 1.1 Geodesic metric spaces; 1.2 Meet Hadamard spaces; 1.3 Equivalent conditions for CAT(0); 2 Convex sets and convex functions; 2.1 Convex sets; 2.2 Convex functions; 2.3 Convexity and probability measures; 3 Weak convergence in Hadamard spaces; 3.1 Existence of weak limits; 3.2 Weak convergence and convexity; 3.3 An application in fixed point theory; 4 Nonexpansive mappings; 4.1 Kirszbraun-Valentine extension; 4.2 Resolvent of a nonexpansive mapping; 4.3 Strongly continuous semigroup; 5 Gradient flow of a convex functional. 5.1 Gradient flow semigroup5.2 Mosco convergence and its consequences; 5.3 Lie-Trotter-Kato formula; 6 Convex optimization algorithms; 6.1 Convex feasibility problems; 6.2 Fixed point approximations; 6.3 Proximal point algorithm; 7 Probabilistic tools in Hadamard spaces; 7.1 Random variables and expectations; 7.2 Law of large numbers; 7.3 Conditional expectations; 8 Tree space and its applications; 8.1 Construction of the BHV tree space; 8.2 Owen-Provan algorithm; 8.3 Medians and means of trees; References; Index. Metric spaces. http://id.loc.gov/authorities/subjects/sh85084441 G-spaces. http://id.loc.gov/authorities/subjects/sh87000628 Hadamard matrices. http://id.loc.gov/authorities/subjects/sh85058183 Espaces métriques. Matrices d'Hadamard. MATHEMATICS General. bisacsh G-spaces fast Hadamard matrices fast Metric spaces fast Konvexe Analysis gnd http://d-nb.info/gnd/4138566-4 Konvexe Optimierung gnd http://d-nb.info/gnd/4137027-2 Hadamard-Raum gnd http://d-nb.info/gnd/1059535874
subject_GND	http://id.loc.gov/authorities/subjects/sh85084441 http://id.loc.gov/authorities/subjects/sh87000628 http://id.loc.gov/authorities/subjects/sh85058183 http://d-nb.info/gnd/4138566-4 http://d-nb.info/gnd/4137027-2 http://d-nb.info/gnd/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 Bacák.
title_fullStr	Convex analysis and optimization in Hadamard spaces / Miroslav Bacák.
title_full_unstemmed	Convex analysis and optimization in Hadamard spaces / Miroslav Bacák.
title_short	Convex analysis and optimization in Hadamard spaces /
title_sort	convex analysis and optimization in hadamard spaces
topic	Metric spaces. http://id.loc.gov/authorities/subjects/sh85084441 G-spaces. http://id.loc.gov/authorities/subjects/sh87000628 Hadamard matrices. http://id.loc.gov/authorities/subjects/sh85058183 Espaces métriques. Matrices d'Hadamard. MATHEMATICS General. bisacsh G-spaces fast Hadamard matrices fast Metric spaces fast Konvexe Analysis gnd http://d-nb.info/gnd/4138566-4 Konvexe Optimierung gnd http://d-nb.info/gnd/4137027-2 Hadamard-Raum gnd http://d-nb.info/gnd/1059535874
topic_facet	Metric spaces. G-spaces. Hadamard matrices. Espaces métriques. Matrices d'Hadamard. MATHEMATICS General. G-spaces Hadamard matrices Metric spaces Konvexe Analysis Konvexe Optimierung Hadamard-Raum
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=887035
work_keys_str_mv	AT bacakmiroslav convexanalysisandoptimizationinhadamardspaces

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