Verfügbarkeit: Convex analysis and nonlinear optimization

Convex analysis and nonlinear optimization: theory and examples

Gespeichert in:

Bibliographische Detailangaben
Beteiligte Personen:	Borwein, Jonathan M. 1951-2016 (VerfasserIn), Lewis, Adrian S. 1962- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	New York Springer 2006
Ausgabe:	second edition
Schriftenreihe:	Canadian Mathematical Society: CMS books in mathematics 3
Schlagwörter:	Analyse (wiskunde) Convexe functies Niet-lineaire vergelijkingen Optimaliseren Programação convexa Programação matemática Convex functions Mathematical optimization Nonlinear theories Nichtlineare Optimierung Konvexe Analysis Konvexe Funktion
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014999232&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	xii, 310 Seiten
ISBN:	0387295704 9780387295701 9781441921277

Internformat

MARC


LEADER	00000nam a2200000 cb4500
001	BV021786518
003	DE-604
005	20211102
007	t\|
008	061027s2006 xx \|\|\|\| 00\|\|\| eng d
020			\|a 0387295704 \|9 0-387-29570-4
020			\|a 9780387295701 \|9 978-0-387-29570-1
020			\|a 9781441921277 \|9 978-1-4419-2127-7
035			\|a (OCoLC)63166869
035			\|a (DE-599)BVBBV021786518
040			\|a DE-604 \|b ger \|e rda
041	0		\|a eng
049			\|a DE-19 \|a DE-634 \|a DE-91G \|a DE-29T \|a DE-11 \|a DE-355 \|a DE-20 \|a DE-188 \|a DE-83 \|a DE-706
050		0	\|a QA331.5
082	0		\|a 515/.8 \|2 22
084			\|a SK 870 \|0 (DE-625)143265: \|2 rvk
084			\|a 49J53 \|2 msc
084			\|a 90C25 \|2 msc
084			\|a MAT 916f \|2 stub
084			\|a 52A41 \|2 msc
100	1		\|a Borwein, Jonathan M. \|d 1951-2016 \|0 (DE-588)115617884 \|4 aut
245	1	0	\|a Convex analysis and nonlinear optimization \|b theory and examples \|c Jonathan M. Borwein ; Adrian S. Lewis
250			\|a second edition
264		1	\|a New York \|b Springer \|c 2006
300			\|a xii, 310 Seiten
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Canadian Mathematical Society: CMS books in mathematics \|v 3
650		7	\|a Analyse (wiskunde) \|2 gtt
650		7	\|a Convexe functies \|2 gtt
650		7	\|a Niet-lineaire vergelijkingen \|2 gtt
650		7	\|a Optimaliseren \|2 gtt
650		7	\|a Programação convexa \|2 larpcal
650		7	\|a Programação matemática \|2 larpcal
650		4	\|a Convex functions
650		4	\|a Mathematical optimization
650		4	\|a Nonlinear theories
650	0	7	\|a Nichtlineare Optimierung \|0 (DE-588)4128192-5 \|2 gnd \|9 rswk-swf
650	0	7	\|a Konvexe Analysis \|0 (DE-588)4138566-4 \|2 gnd \|9 rswk-swf
650	0	7	\|a Konvexe Funktion \|0 (DE-588)4139679-0 \|2 gnd \|9 rswk-swf
689	0	0	\|a Nichtlineare Optimierung \|0 (DE-588)4128192-5 \|D s
689	0	1	\|a Konvexe Funktion \|0 (DE-588)4139679-0 \|D s
689	0		\|5 DE-604
689	1	0	\|a Konvexe Analysis \|0 (DE-588)4138566-4 \|D s
689	1		\|5 DE-604
689	2	0	\|a Nichtlineare Optimierung \|0 (DE-588)4128192-5 \|D s
689	2		\|5 DE-604
700	1		\|a Lewis, Adrian S. \|d 1962- \|0 (DE-588)107040408X \|4 aut
776	0	8	\|i Erscheint auch als \|n Online-Ausgabe \|z 978-0-387-31256-9
830		0	\|a Canadian Mathematical Society: CMS books in mathematics \|v 3 \|w (DE-604)BV013248581 \|9 3
856	4	2	\|m HBZ Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014999232&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-014999232

Datensatz im Suchindex

DE-BY-TUM_call_number	0102 MAT 916f 2001 A 8350(2)
DE-BY-TUM_katkey	1704428
DE-BY-TUM_location	01
DE-BY-TUM_media_number	040010156766
_version_	1821933732709269504
adam_text	Contents Preface vii 1 Background 1 1.1 Euclidean Spaces 1 1.2 Symmetric Matrices 9 2 Inequality Constraints 15 2.1 Optimality Conditions 15 2.2 Theorems of the Alternative 23 2.3 Max functions 28 3 Fenchel Duality 33 3.1 Subgradients and Convex Functions 33 3.2 The Value Function 43 3.3 The Fenchel Conjugate 49 4 Convex Analysis 65 4.1 Continuity of Convex Functions 65 4.2 Fenchel Biconjugation 76 4.3 Lagrangian Duality 88 5 Special Cases 97 5.1 Polyhedral Convex Sets and Functions 97 5.2 Functions of Eigenvalues 104 5.3 Duality for Linear and Semidefinite Programming 109 5.4 Convex Process Duality 114 6 Nonsmooth Optimization 123 6.1 Generalized Derivatives 123 6.2 Regularity and Strict Differentiability 130 6.3 Tangent Cones 137 6.4 The Limiting Subdifferential 145 xi xii Contents 7 Karush Kuhn Tucker Theory 153 7.1 An Introduction to Metric Regularity 153 7.2 The Karush Kuhn Tucker Theorem 160 7.3 Metric Regularity and the Limiting Subdifferential 166 7.4 Second Order Conditions 172 8 Fixed Points 179 8.1 The Brouwer Fixed Point Theorem 179 8.2 Selection and the Kakutani Fan Fixed Point Theorem . . . 190 8.3 Variational Inequalities 200 9 More Nonsmooth Structure 213 9.1 Rademacher s Theorem 213 9.2 Proximal Normals and Chebyshev Sets 218 9.3 Amenable Sets and Prox Regularity 228 9.4 Partly Smooth Sets 233 10 Postscript: Infinite Versus Finite Dimensions 239 10.1 Introduction 239 10.2 Finite Dimensionality 241 10.3 Counterexamples and Exercises 244 10.4 Notes on Previous Chapters 248 11 List of Results and Notation 253 11.1 Named Results 253 11.2 Notation 267 Bibliography 275 Index 289
any_adam_object	1
author	Borwein, Jonathan M. 1951-2016 Lewis, Adrian S. 1962-
author_GND	(DE-588)115617884 (DE-588)107040408X
author_facet	Borwein, Jonathan M. 1951-2016 Lewis, Adrian S. 1962-
author_role	aut aut
author_sort	Borwein, Jonathan M. 1951-2016
author_variant	j m b jm jmb a s l as asl
building	Verbundindex
bvnumber	BV021786518
callnumber-first	Q - Science
callnumber-label	QA331
callnumber-raw	QA331.5
callnumber-search	QA331.5
callnumber-sort	QA 3331.5
callnumber-subject	QA - Mathematics
classification_rvk	SK 870
classification_tum	MAT 916f
ctrlnum	(OCoLC)63166869 (DE-599)BVBBV021786518
dewey-full	515/.8
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515/.8
dewey-search	515/.8
dewey-sort	3515 18
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	second edition
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02607nam a2200661 cb4500</leader><controlfield tag="001">BV021786518</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20211102 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">061027s2006 xx \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387295704</subfield><subfield code="9">0-387-29570-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780387295701</subfield><subfield code="9">978-0-387-29570-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781441921277</subfield><subfield code="9">978-1-4419-2127-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)63166869</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV021786518</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-19</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA331.5</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.8</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 870</subfield><subfield code="0">(DE-625)143265:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">49J53</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">90C25</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 916f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">52A41</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Borwein, Jonathan M.</subfield><subfield code="d">1951-2016</subfield><subfield code="0">(DE-588)115617884</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Convex analysis and nonlinear optimization</subfield><subfield code="b">theory and examples</subfield><subfield code="c">Jonathan M. Borwein ; Adrian S. Lewis</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">second edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York</subfield><subfield code="b">Springer</subfield><subfield code="c">2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xii, 310 Seiten</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Canadian Mathematical Society: CMS books in mathematics</subfield><subfield code="v">3</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Analyse (wiskunde)</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Convexe functies</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Niet-lineaire vergelijkingen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Optimaliseren</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Programação convexa</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Programação matemática</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Convex functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical optimization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nonlinear theories</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineare Optimierung</subfield><subfield code="0">(DE-588)4128192-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konvexe Analysis</subfield><subfield code="0">(DE-588)4138566-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konvexe Funktion</subfield><subfield code="0">(DE-588)4139679-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nichtlineare Optimierung</subfield><subfield code="0">(DE-588)4128192-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Konvexe Funktion</subfield><subfield code="0">(DE-588)4139679-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Konvexe Analysis</subfield><subfield code="0">(DE-588)4138566-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Nichtlineare Optimierung</subfield><subfield code="0">(DE-588)4128192-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lewis, Adrian S.</subfield><subfield code="d">1962-</subfield><subfield code="0">(DE-588)107040408X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-0-387-31256-9</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Canadian Mathematical Society: CMS books in mathematics</subfield><subfield code="v">3</subfield><subfield code="w">(DE-604)BV013248581</subfield><subfield code="9">3</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014999232&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-014999232</subfield></datafield></record></collection>
id	DE-604.BV021786518
illustrated	Not Illustrated
indexdate	2024-12-20T12:41:45Z
institution	BVB
isbn	0387295704 9780387295701 9781441921277
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-014999232
oclc_num	63166869
open_access_boolean
owner	DE-19 DE-BY-UBM DE-634 DE-91G DE-BY-TUM DE-29T DE-11 DE-355 DE-BY-UBR DE-20 DE-188 DE-83 DE-706
owner_facet	DE-19 DE-BY-UBM DE-634 DE-91G DE-BY-TUM DE-29T DE-11 DE-355 DE-BY-UBR DE-20 DE-188 DE-83 DE-706
physical	xii, 310 Seiten
publishDate	2006
publishDateSearch	2006
publishDateSort	2006
publisher	Springer
record_format	marc
series	Canadian Mathematical Society: CMS books in mathematics
series2	Canadian Mathematical Society: CMS books in mathematics
spellingShingle	Borwein, Jonathan M. 1951-2016 Lewis, Adrian S. 1962- Convex analysis and nonlinear optimization theory and examples Canadian Mathematical Society: CMS books in mathematics Analyse (wiskunde) gtt Convexe functies gtt Niet-lineaire vergelijkingen gtt Optimaliseren gtt Programação convexa larpcal Programação matemática larpcal Convex functions Mathematical optimization Nonlinear theories Nichtlineare Optimierung (DE-588)4128192-5 gnd Konvexe Analysis (DE-588)4138566-4 gnd Konvexe Funktion (DE-588)4139679-0 gnd
subject_GND	(DE-588)4128192-5 (DE-588)4138566-4 (DE-588)4139679-0
title	Convex analysis and nonlinear optimization theory and examples
title_auth	Convex analysis and nonlinear optimization theory and examples
title_exact_search	Convex analysis and nonlinear optimization theory and examples
title_full	Convex analysis and nonlinear optimization theory and examples Jonathan M. Borwein ; Adrian S. Lewis
title_fullStr	Convex analysis and nonlinear optimization theory and examples Jonathan M. Borwein ; Adrian S. Lewis
title_full_unstemmed	Convex analysis and nonlinear optimization theory and examples Jonathan M. Borwein ; Adrian S. Lewis
title_short	Convex analysis and nonlinear optimization
title_sort	convex analysis and nonlinear optimization theory and examples
title_sub	theory and examples
topic	Analyse (wiskunde) gtt Convexe functies gtt Niet-lineaire vergelijkingen gtt Optimaliseren gtt Programação convexa larpcal Programação matemática larpcal Convex functions Mathematical optimization Nonlinear theories Nichtlineare Optimierung (DE-588)4128192-5 gnd Konvexe Analysis (DE-588)4138566-4 gnd Konvexe Funktion (DE-588)4139679-0 gnd
topic_facet	Analyse (wiskunde) Convexe functies Niet-lineaire vergelijkingen Optimaliseren Programação convexa Programação matemática Convex functions Mathematical optimization Nonlinear theories Nichtlineare Optimierung Konvexe Analysis Konvexe Funktion
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014999232&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV013248581
work_keys_str_mv	AT borweinjonathanm convexanalysisandnonlinearoptimizationtheoryandexamples AT lewisadrians convexanalysisandnonlinearoptimizationtheoryandexamples

Verfügbarkeit

Bestellen (Login erforderlich)

Inhaltsverzeichnis
Paper/Kapitel scannen lassen

Teilbibliothek Mathematik & Informatik

Bestandsangaben von Teilbibliothek Mathematik & Informatik
Signatur:	0102 MAT 916f 2001 A 8350(2) Lageplan
Exemplar 1	Ausleihbar Am Standort