Cones, Matrices and Mathematical Programming
This monograph is a revised set of notes on recent applications of the theory of cones, arising from lectures I gave during my stay at the Centre de recherches mathematiques in Montreal. It consists of three chapters. The first describes the basic theory. The second is devoted to applications to mat...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1973
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| Ausgabe: | 1st ed. 1973 |
| Schriftenreihe: | Lecture Notes in Economics and Mathematical Systems
79 |
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| 490 | 0 | |a Lecture Notes in Economics and Mathematical Systems |v 79 | |
| 520 | |a This monograph is a revised set of notes on recent applications of the theory of cones, arising from lectures I gave during my stay at the Centre de recherches mathematiques in Montreal. It consists of three chapters. The first describes the basic theory. The second is devoted to applications to mathematical programming and the third to matrix theory. The second and third chapters are independent. Natural links between them, such as mathematical programming over matrix cones, are only mentioned in passing. The choice of applications described in this paper is a reflection of my p«r9onal interests, for examples, the complementarity problem and iterative methods for singular systems. The paper definitely does not contain all the applications which fit its title. The same remark holds for the list of references. Proofs are omitted or sketched briefly unless they are very simple. However, I have tried to include proofs of results which are not widely available, e.g. results in preprints or reports, and proofs, based on the theory of cones, of classical theorems. This monograph benefited from helpful discussions with professors Abrams, Barker, Cottle, Fan, Plemmons, Schneider, Taussky and Varga | ||
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Datensatz im Suchindex
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| author | Berman, Abraham |
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| bvnumber | BV046871422 |
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| dewey-full | 518 |
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| discipline | Mathematik Wirtschaftswissenschaften |
| discipline_str_mv | Mathematik Wirtschaftswissenschaften |
| doi_str_mv | 10.1007/978-3-642-80730-5 |
| edition | 1st ed. 1973 |
| format | Electronic eBook |
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| id | DE-604.BV046871422 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T15:15:35Z |
| indexdate | 2024-07-10T08:56:07Z |
| institution | BVB |
| isbn | 9783642807305 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032281553 |
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| physical | 1 Online-Ressource (VI, 98 p) |
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| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Lecture Notes in Economics and Mathematical Systems |
| spelling | Berman, Abraham Verfasser aut Cones, Matrices and Mathematical Programming by Abraham Berman 1st ed. 1973 Berlin, Heidelberg Springer Berlin Heidelberg 1973 1 Online-Ressource (VI, 98 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Economics and Mathematical Systems 79 This monograph is a revised set of notes on recent applications of the theory of cones, arising from lectures I gave during my stay at the Centre de recherches mathematiques in Montreal. It consists of three chapters. The first describes the basic theory. The second is devoted to applications to mathematical programming and the third to matrix theory. The second and third chapters are independent. Natural links between them, such as mathematical programming over matrix cones, are only mentioned in passing. The choice of applications described in this paper is a reflection of my p«r9onal interests, for examples, the complementarity problem and iterative methods for singular systems. The paper definitely does not contain all the applications which fit its title. The same remark holds for the list of references. Proofs are omitted or sketched briefly unless they are very simple. However, I have tried to include proofs of results which are not widely available, e.g. results in preprints or reports, and proofs, based on the theory of cones, of classical theorems. This monograph benefited from helpful discussions with professors Abrams, Barker, Cottle, Fan, Plemmons, Schneider, Taussky and Varga Computational Mathematics and Numerical Analysis Programming Techniques Computer mathematics Computer programming Optimierung (DE-588)4043664-0 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Kegel (DE-588)4163534-6 gnd rswk-swf Matrizenrechnung (DE-588)4126963-9 gnd rswk-swf Lineare Optimierung (DE-588)4035816-1 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 s Matrizenrechnung (DE-588)4126963-9 s DE-604 Optimierung (DE-588)4043664-0 s Lineare Optimierung (DE-588)4035816-1 s Kegel (DE-588)4163534-6 s Erscheint auch als Druck-Ausgabe 9783540061236 Erscheint auch als Druck-Ausgabe 9783642807312 https://doi.org/10.1007/978-3-642-80730-5 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Berman, Abraham Cones, Matrices and Mathematical Programming Computational Mathematics and Numerical Analysis Programming Techniques Computer mathematics Computer programming Optimierung (DE-588)4043664-0 gnd Matrix Mathematik (DE-588)4037968-1 gnd Kegel (DE-588)4163534-6 gnd Matrizenrechnung (DE-588)4126963-9 gnd Lineare Optimierung (DE-588)4035816-1 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4037968-1 (DE-588)4163534-6 (DE-588)4126963-9 (DE-588)4035816-1 |
| title | Cones, Matrices and Mathematical Programming |
| title_auth | Cones, Matrices and Mathematical Programming |
| title_exact_search | Cones, Matrices and Mathematical Programming |
| title_exact_search_txtP | Cones, Matrices and Mathematical Programming |
| title_full | Cones, Matrices and Mathematical Programming by Abraham Berman |
| title_fullStr | Cones, Matrices and Mathematical Programming by Abraham Berman |
| title_full_unstemmed | Cones, Matrices and Mathematical Programming by Abraham Berman |
| title_short | Cones, Matrices and Mathematical Programming |
| title_sort | cones matrices and mathematical programming |
| topic | Computational Mathematics and Numerical Analysis Programming Techniques Computer mathematics Computer programming Optimierung (DE-588)4043664-0 gnd Matrix Mathematik (DE-588)4037968-1 gnd Kegel (DE-588)4163534-6 gnd Matrizenrechnung (DE-588)4126963-9 gnd Lineare Optimierung (DE-588)4035816-1 gnd |
| topic_facet | Computational Mathematics and Numerical Analysis Programming Techniques Computer mathematics Computer programming Optimierung Matrix Mathematik Kegel Matrizenrechnung Lineare Optimierung |
| url | https://doi.org/10.1007/978-3-642-80730-5 |
| work_keys_str_mv | AT bermanabraham conesmatricesandmathematicalprogramming |