Fundamentals of Convex Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2001
|
| Schriftenreihe: | Grundlehren Text Editions
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is an abridged version of our two-volume opus Convex Analysis and Minimization Algorithms [18], about which we have received very positive feedback from users, readers, lecturers ever since it was published - by Springer-Verlag in 1993. Its pedagogical qualities were particularly appreciated, in the combination with a rather advanced technical material. Now [18] has a dual but clearly defined nature: - an introduction to the basic concepts in convex analysis, - a study of convex minimization problems (with an emphasis on numerical algorithms), and insists on their mutual interpenetration. It is our feeling that the above basic introduction is much needed in the scientific community. This is the motivation for the present edition, our intention being to create a tool useful to teach convex analysis. We have thus extracted from [18] its "backbone" devoted to convex analysis, namely ChapsIII-VI and X. Apart from some local improvements, the present text is mostly a copy of the corresponding chapters. The main difference is that we have deleted material deemed too advanced for an introduction, or too closely attached to numerical algorithms. Further, we have included exercises, whose degree of difficulty is suggested by 0, 1 or 2 stars *. Finally, the index has been considerably enriched. Just as in [18], each chapter is presented as a "lesson", in the sense of our old masters, treating of a given subject in its entirety |
| Beschreibung: | 1 Online-Ressource (X, 259 p) |
| ISBN: | 9783642564680 9783540422051 |
| DOI: | 10.1007/978-3-642-56468-0 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042422645 | ||
| 003 | DE-604 | ||
| 005 | 20171019 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s2001 |||| o||u| ||||||eng d | ||
| 020 | |a 9783642564680 |c Online |9 978-3-642-56468-0 | ||
| 020 | |a 9783540422051 |c Print |9 978-3-540-42205-1 | ||
| 024 | 7 | |a 10.1007/978-3-642-56468-0 |2 doi | |
| 035 | |a (OCoLC)905441111 | ||
| 035 | |a (DE-599)BVBBV042422645 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 515.64 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Hiriart-Urruty, Jean-Baptiste |d 1949- |e Verfasser |0 (DE-588)128857102 |4 aut | |
| 245 | 1 | 0 | |a Fundamentals of Convex Analysis |c by Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal |
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 2001 | |
| 300 | |a 1 Online-Ressource (X, 259 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Grundlehren Text Editions | |
| 500 | |a This book is an abridged version of our two-volume opus Convex Analysis and Minimization Algorithms [18], about which we have received very positive feedback from users, readers, lecturers ever since it was published - by Springer-Verlag in 1993. Its pedagogical qualities were particularly appreciated, in the combination with a rather advanced technical material. Now [18] has a dual but clearly defined nature: - an introduction to the basic concepts in convex analysis, - a study of convex minimization problems (with an emphasis on numerical algorithms), and insists on their mutual interpenetration. It is our feeling that the above basic introduction is much needed in the scientific community. This is the motivation for the present edition, our intention being to create a tool useful to teach convex analysis. We have thus extracted from [18] its "backbone" devoted to convex analysis, namely ChapsIII-VI and X. Apart from some local improvements, the present text is mostly a copy of the corresponding chapters. The main difference is that we have deleted material deemed too advanced for an introduction, or too closely attached to numerical algorithms. Further, we have included exercises, whose degree of difficulty is suggested by 0, 1 or 2 stars *. Finally, the index has been considerably enriched. Just as in [18], each chapter is presented as a "lesson", in the sense of our old masters, treating of a given subject in its entirety | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Systems theory | |
| 650 | 4 | |a Mathematical optimization | |
| 650 | 4 | |a Calculus of Variations and Optimal Control; Optimization | |
| 650 | 4 | |a Operations Research, Management Science | |
| 650 | 4 | |a Systems Theory, Control | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Konvexe Analysis |0 (DE-588)4138566-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Minimierung |0 (DE-588)4251074-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Konvexe Analysis |0 (DE-588)4138566-4 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Minimierung |0 (DE-588)4251074-0 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 700 | 1 | |a Lemaréchal, Claude |d 1944- |e Sonstige |0 (DE-588)128857137 |4 oth | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-642-56468-0 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027858062 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153097388294144 |
|---|---|
| any_adam_object | |
| author | Hiriart-Urruty, Jean-Baptiste 1949- |
| author_GND | (DE-588)128857102 (DE-588)128857137 |
| author_facet | Hiriart-Urruty, Jean-Baptiste 1949- |
| author_role | aut |
| author_sort | Hiriart-Urruty, Jean-Baptiste 1949- |
| author_variant | j b h u jbhu |
| building | Verbundindex |
| bvnumber | BV042422645 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)905441111 (DE-599)BVBBV042422645 |
| dewey-full | 515.64 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.64 |
| dewey-search | 515.64 |
| dewey-sort | 3515.64 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-56468-0 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03507nmm a2200553zc 4500</leader><controlfield tag="001">BV042422645</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20171019 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s2001 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642564680</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-642-56468-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540422051</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-540-42205-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-642-56468-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)905441111</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042422645</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.64</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hiriart-Urruty, Jean-Baptiste</subfield><subfield code="d">1949-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)128857102</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Fundamentals of Convex Analysis</subfield><subfield code="c">by Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, Heidelberg</subfield><subfield code="b">Springer Berlin Heidelberg</subfield><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (X, 259 p)</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Grundlehren Text Editions</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This book is an abridged version of our two-volume opus Convex Analysis and Minimization Algorithms [18], about which we have received very positive feedback from users, readers, lecturers ever since it was published - by Springer-Verlag in 1993. Its pedagogical qualities were particularly appreciated, in the combination with a rather advanced technical material. Now [18] has a dual but clearly defined nature: - an introduction to the basic concepts in convex analysis, - a study of convex minimization problems (with an emphasis on numerical algorithms), and insists on their mutual interpenetration. It is our feeling that the above basic introduction is much needed in the scientific community. This is the motivation for the present edition, our intention being to create a tool useful to teach convex analysis. We have thus extracted from [18] its "backbone" devoted to convex analysis, namely ChapsIII-VI and X. Apart from some local improvements, the present text is mostly a copy of the corresponding chapters. The main difference is that we have deleted material deemed too advanced for an introduction, or too closely attached to numerical algorithms. Further, we have included exercises, whose degree of difficulty is suggested by 0, 1 or 2 stars *. Finally, the index has been considerably enriched. Just as in [18], each chapter is presented as a "lesson", in the sense of our old masters, treating of a given subject in its entirety</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Systems theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical optimization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Calculus of Variations and Optimal Control; Optimization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Operations Research, Management Science</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Systems Theory, Control</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</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">Minimierung</subfield><subfield code="0">(DE-588)4251074-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" 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="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Minimierung</subfield><subfield code="0">(DE-588)4251074-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lemaréchal, Claude</subfield><subfield code="d">1944-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)128857137</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-642-56468-0</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027858062</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042422645 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783642564680 9783540422051 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858062 |
| oclc_num | 905441111 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (X, 259 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Grundlehren Text Editions |
| spelling | Hiriart-Urruty, Jean-Baptiste 1949- Verfasser (DE-588)128857102 aut Fundamentals of Convex Analysis by Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal Berlin, Heidelberg Springer Berlin Heidelberg 2001 1 Online-Ressource (X, 259 p) txt rdacontent c rdamedia cr rdacarrier Grundlehren Text Editions This book is an abridged version of our two-volume opus Convex Analysis and Minimization Algorithms [18], about which we have received very positive feedback from users, readers, lecturers ever since it was published - by Springer-Verlag in 1993. Its pedagogical qualities were particularly appreciated, in the combination with a rather advanced technical material. Now [18] has a dual but clearly defined nature: - an introduction to the basic concepts in convex analysis, - a study of convex minimization problems (with an emphasis on numerical algorithms), and insists on their mutual interpenetration. It is our feeling that the above basic introduction is much needed in the scientific community. This is the motivation for the present edition, our intention being to create a tool useful to teach convex analysis. We have thus extracted from [18] its "backbone" devoted to convex analysis, namely ChapsIII-VI and X. Apart from some local improvements, the present text is mostly a copy of the corresponding chapters. The main difference is that we have deleted material deemed too advanced for an introduction, or too closely attached to numerical algorithms. Further, we have included exercises, whose degree of difficulty is suggested by 0, 1 or 2 stars *. Finally, the index has been considerably enriched. Just as in [18], each chapter is presented as a "lesson", in the sense of our old masters, treating of a given subject in its entirety Mathematics Systems theory Mathematical optimization Calculus of Variations and Optimal Control; Optimization Operations Research, Management Science Systems Theory, Control Mathematik Konvexe Analysis (DE-588)4138566-4 gnd rswk-swf Minimierung (DE-588)4251074-0 gnd rswk-swf Konvexe Analysis (DE-588)4138566-4 s 1\p DE-604 Minimierung (DE-588)4251074-0 s 2\p DE-604 Lemaréchal, Claude 1944- Sonstige (DE-588)128857137 oth https://doi.org/10.1007/978-3-642-56468-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hiriart-Urruty, Jean-Baptiste 1949- Fundamentals of Convex Analysis Mathematics Systems theory Mathematical optimization Calculus of Variations and Optimal Control; Optimization Operations Research, Management Science Systems Theory, Control Mathematik Konvexe Analysis (DE-588)4138566-4 gnd Minimierung (DE-588)4251074-0 gnd |
| subject_GND | (DE-588)4138566-4 (DE-588)4251074-0 |
| title | Fundamentals of Convex Analysis |
| title_auth | Fundamentals of Convex Analysis |
| title_exact_search | Fundamentals of Convex Analysis |
| title_full | Fundamentals of Convex Analysis by Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal |
| title_fullStr | Fundamentals of Convex Analysis by Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal |
| title_full_unstemmed | Fundamentals of Convex Analysis by Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal |
| title_short | Fundamentals of Convex Analysis |
| title_sort | fundamentals of convex analysis |
| topic | Mathematics Systems theory Mathematical optimization Calculus of Variations and Optimal Control; Optimization Operations Research, Management Science Systems Theory, Control Mathematik Konvexe Analysis (DE-588)4138566-4 gnd Minimierung (DE-588)4251074-0 gnd |
| topic_facet | Mathematics Systems theory Mathematical optimization Calculus of Variations and Optimal Control; Optimization Operations Research, Management Science Systems Theory, Control Mathematik Konvexe Analysis Minimierung |
| url | https://doi.org/10.1007/978-3-642-56468-0 |
| work_keys_str_mv | AT hiriarturrutyjeanbaptiste fundamentalsofconvexanalysis AT lemarechalclaude fundamentalsofconvexanalysis |