Asymptotic cones and functions in optimization and variational inequalities:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York ; Berlin ; Heidelberg ; Hong Kong ; London ; Milan ; Paris ; Tokyo
Springer
2003
|
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010152180&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverz. S. 233 - 242 |
| Umfang: | xii, 249 Seiten |
| ISBN: | 0387955208 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV016416426 | ||
| 003 | DE-604 | ||
| 005 | 20200731 | ||
| 007 | t| | ||
| 008 | 021220s2003 gw |||| 00||| eng d | ||
| 016 | 7 | |a 965685268 |2 DE-101 | |
| 020 | |a 0387955208 |9 0-387-95520-8 | ||
| 035 | |a (OCoLC)49959286 | ||
| 035 | |a (DE-599)BVBBV016416426 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-20 |a DE-19 |a DE-703 |a DE-824 |a DE-634 |a DE-83 | ||
| 050 | 0 | |a QA331.5 | |
| 082 | 0 | |a 515/.8 |2 21 | |
| 084 | |a SK 870 |0 (DE-625)143265: |2 rvk | ||
| 084 | |a 49J40 |2 msc | ||
| 084 | |a 90C30 |2 msc | ||
| 100 | 1 | |a Auslender, Alfred |4 aut | |
| 245 | 1 | 0 | |a Asymptotic cones and functions in optimization and variational inequalities |c Alfred Auslender ; Marc Teboulle |
| 264 | 1 | |a New York ; Berlin ; Heidelberg ; Hong Kong ; London ; Milan ; Paris ; Tokyo |b Springer |c 2003 | |
| 300 | |a xii, 249 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Springer monographs in mathematics | |
| 500 | |a Literaturverz. S. 233 - 242 | ||
| 650 | 7 | |a Análise variacional |2 larpcal | |
| 650 | 7 | |a Optimaliseren |2 gtt | |
| 650 | 7 | |a Programação matemática |2 larpcal | |
| 650 | 7 | |a Variatierekening |2 gtt | |
| 650 | 4 | |a Convex functions | |
| 650 | 4 | |a Convex programming | |
| 650 | 4 | |a Mathematical optimization | |
| 650 | 4 | |a Variational inequalities (Mathematics) | |
| 650 | 0 | 7 | |a Variationsungleichung |0 (DE-588)4187420-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Asymptotik |0 (DE-588)4126634-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare Optimierung |0 (DE-588)4128192-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtlineare Optimierung |0 (DE-588)4128192-5 |D s |
| 689 | 0 | 1 | |a Asymptotik |0 (DE-588)4126634-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Variationsungleichung |0 (DE-588)4187420-1 |D s |
| 689 | 1 | 1 | |a Asymptotik |0 (DE-588)4126634-1 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Teboulle, Marc |4 aut | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010152180&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010152180 | |
Datensatz im Suchindex
| _version_ | 1819304291409592320 |
|---|---|
| adam_text | ALFRED AUSLENDER MARC TEBOULLE ASYMPTOTIC CONES AND FUNCTIONS IN
OPTIMIZATION AND VARIATIONAL INEQUALITIES SPRINGER CONTENTS PREFACE VII
1 CONVEX ANALYSIS AND SET-VALUED MAPS: A REVIEW 1 1.1 CONVEX SETS 1 1.2
CONVEX FUNCTIONS 9 1.3 SUPPORT FUNCTIONS 17 1.4 SET-VALUED MAPS 20 1.5
NOTES AND REFERENCES 23 2 ASYMPTOTIC CONES AND FUNCTIONS 25 2.1
DEFINITIONS OF ASYMPTOTIC CONES 25 2.2 DUAL CHARACTERIZATION OF
ASYMPTOTIC CONES 31 2.3 CLOSEDNESS CRITERIA 32 2.4 CONTINUOUS CONVEX
SETS 44 2.5 ASYMPTOTIC FUNCTIONS 47 2.6 DIFFERENTIAL CALCULUS AT
INFINITY 60 2.7 APPLICATION I: SEMIDEFINITE OPTIMIZATION 66 2.8
APPLICATION II: MODELING AND SMOOTHING OPTIMIZATION PROB- LEMS 72 2.9
NOTES AND REFERENCES 78 3 EXISTENCE AND STABILITY IN OPTIMIZATION
PROBLEMS 81 3.1 COERCIVE PROBLEMS 81 3.2 WEAK COERCIVITY 85 XII CONTENTS
3.3 ASYMPTOTICALLY LEVEL STABLE FUNCTIONS 93 3.4 EXISTENCE OF OPTIMAL
SOLUTIONS 96 3.5 STABILITY FOR CONSTRAINED PROBLEMS 100 3.6 DUAL
OPERATIONS AND SUBDIFFERENTIAL CALCULUS 107 3.7 ADDITIONAL RESULTS IN
THE CONVEX CASE 112 3.8 THE FEASIBILITY PROBLEM 116 3.9 NOTES AND
REFERENCES 118 4 MINIMIZING AND STATIONARY SEQUENCES 119 4.1 OPTIMALITY
CONDITIONS IN CONVEX MINIMIZATION 119 4.2 ASYMPTOTICALLY WELL-BEHAVED
FUNCTIONS 124 4.3 ERROR BOUNDS FOR CONVEX INEQUALITY SYSTEMS 133 4.4
STATIONARY SEQUENCES IN CONSTRAINED MINIMIZATION 140 4.5 NOTES AND
REFERENCES 143 5 DUALITY IN OPTIMIZATION PROBLEMS 145 5.1
PERTURBATIONAL-CONJUGATE DUALITY 145 5.2 FENCHEL DUALITY 154 5.3
LAGRANGIAN DUALITY 157 5.4 ZERO DUALITY GAP FOR SPECIAL CONVEX PROGRAMS
162 5.5 DUALITY AND ASYMPTOTIC FUNCTIONS 166 5.6 LAGRANGIANS AND MINIMAX
THEORY 170 5.7 DUALITY AND STATIONARY SEQUENCES 178 5.8 NOTES AND
REFERENCES 181 6 MAXIMAL MONOTONE MAPS AND VARIATIONAL INEQUALITIES 183
6.1 MAXIMAL MONOTONE MAPS 183 6.2 MINTY THEOREM 186 6.3 CONVEX
FUNCTIONALS AND MAXIMAL MONOTONICITY 191 6.4 DOMAINS AND RANGES OF
MAXIMAL MONOTONE MAPS 195 6.5 ASYMPTOTIC FUNCTIONALS OF MAXIMAL MONOTONE
MAPS .... 197 6.6 FURTHER PROPERTIES OF MAXIMAL MONOTONE MAPS 206 6.7
VARIATIONAL INEQUALITIES PROBLEMS 212 6.8 EXISTENCE RESULTS FOR
VARIATIONAL INEQUALITIES 214 6.9 DUALITY FOR VARIATIONAL INEQUALITIES
221 6.10 NOTES AND REFERENCES 230 REFERENCES 233 INDEX OF NOTATION 243
INDEX 245
|
| any_adam_object | 1 |
| author | Auslender, Alfred Teboulle, Marc |
| author_facet | Auslender, Alfred Teboulle, Marc |
| author_role | aut aut |
| author_sort | Auslender, Alfred |
| author_variant | a a aa m t mt |
| building | Verbundindex |
| bvnumber | BV016416426 |
| 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 |
| ctrlnum | (OCoLC)49959286 (DE-599)BVBBV016416426 |
| 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 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02237nam a2200589 c 4500</leader><controlfield tag="001">BV016416426</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20200731 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">021220s2003 gw |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">965685268</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387955208</subfield><subfield code="9">0-387-95520-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)49959286</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV016416426</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</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">21</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">49J40</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">90C30</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Auslender, Alfred</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Asymptotic cones and functions in optimization and variational inequalities</subfield><subfield code="c">Alfred Auslender ; Marc Teboulle</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York ; Berlin ; Heidelberg ; Hong Kong ; London ; Milan ; Paris ; Tokyo</subfield><subfield code="b">Springer</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xii, 249 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="0" ind2=" "><subfield code="a">Springer monographs in mathematics</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 233 - 242</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Análise variacional</subfield><subfield code="2">larpcal</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 matemática</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Variatierekening</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Convex functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Convex programming</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical optimization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Variational inequalities (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Variationsungleichung</subfield><subfield code="0">(DE-588)4187420-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Asymptotik</subfield><subfield code="0">(DE-588)4126634-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</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="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">Asymptotik</subfield><subfield code="0">(DE-588)4126634-1</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">Variationsungleichung</subfield><subfield code="0">(DE-588)4187420-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Asymptotik</subfield><subfield code="0">(DE-588)4126634-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Teboulle, Marc</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV 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=010152180&sequence=000001&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:BVB01-010152180</subfield></datafield></record></collection> |
| id | DE-604.BV016416426 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T11:11:16Z |
| institution | BVB |
| isbn | 0387955208 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010152180 |
| oclc_num | 49959286 |
| open_access_boolean | |
| owner | DE-20 DE-19 DE-BY-UBM DE-703 DE-824 DE-634 DE-83 |
| owner_facet | DE-20 DE-19 DE-BY-UBM DE-703 DE-824 DE-634 DE-83 |
| physical | xii, 249 Seiten |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer monographs in mathematics |
| spellingShingle | Auslender, Alfred Teboulle, Marc Asymptotic cones and functions in optimization and variational inequalities Análise variacional larpcal Optimaliseren gtt Programação matemática larpcal Variatierekening gtt Convex functions Convex programming Mathematical optimization Variational inequalities (Mathematics) Variationsungleichung (DE-588)4187420-1 gnd Asymptotik (DE-588)4126634-1 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| subject_GND | (DE-588)4187420-1 (DE-588)4126634-1 (DE-588)4128192-5 |
| title | Asymptotic cones and functions in optimization and variational inequalities |
| title_auth | Asymptotic cones and functions in optimization and variational inequalities |
| title_exact_search | Asymptotic cones and functions in optimization and variational inequalities |
| title_full | Asymptotic cones and functions in optimization and variational inequalities Alfred Auslender ; Marc Teboulle |
| title_fullStr | Asymptotic cones and functions in optimization and variational inequalities Alfred Auslender ; Marc Teboulle |
| title_full_unstemmed | Asymptotic cones and functions in optimization and variational inequalities Alfred Auslender ; Marc Teboulle |
| title_short | Asymptotic cones and functions in optimization and variational inequalities |
| title_sort | asymptotic cones and functions in optimization and variational inequalities |
| topic | Análise variacional larpcal Optimaliseren gtt Programação matemática larpcal Variatierekening gtt Convex functions Convex programming Mathematical optimization Variational inequalities (Mathematics) Variationsungleichung (DE-588)4187420-1 gnd Asymptotik (DE-588)4126634-1 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| topic_facet | Análise variacional Optimaliseren Programação matemática Variatierekening Convex functions Convex programming Mathematical optimization Variational inequalities (Mathematics) Variationsungleichung Asymptotik Nichtlineare Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010152180&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT auslenderalfred asymptoticconesandfunctionsinoptimizationandvariationalinequalities AT teboullemarc asymptoticconesandfunctionsinoptimizationandvariationalinequalities |