Variable ordering structures in vector optimization /
Saved in:
| Author / Creator: | Eichfelder, Gabriele, author. |
|---|---|
| Imprint: | Heidelberg ; New York : Springer, 2014. |
| Description: | 1 online resource. |
| Language: | English |
| Series: | Vector optimization Vector optimization. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11084362 |
MARC
| LEADER | 00000cam a2200000Ii 4500 | ||
|---|---|---|---|
| 001 | 11084362 | ||
| 005 | 20170630045420.2 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 140417s2014 gw o 000 0 eng d | ||
| 003 | ICU | ||
| 040 | |a N$T |b eng |e rda |e pn |c N$T |d GW5XE |d IDEBK |d E7B |d YDXCP |d COO |d CDX |d A7U |d UWO |d OCLCF |d BEDGE |d EBLCP |d HEBIS |d OCLCQ |d JG0 |d Z5A | ||
| 019 | |a 881166061 | ||
| 020 | |a 9783642542831 |q (electronic bk.) | ||
| 020 | |a 3642542832 |q (electronic bk.) | ||
| 020 | |a 3642542824 |q (print) | ||
| 020 | |a 9783642542824 |q (print) | ||
| 020 | |z 9783642542824 | ||
| 024 | 7 | |a 10.1007/978-3-642-54283-1 |2 doi | |
| 035 | |a (OCoLC)876911611 |z (OCoLC)881166061 | ||
| 050 | 4 | |a QA402.5 | |
| 072 | 7 | |a MAT |x 003000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 029000 |2 bisacsh | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Eichfelder, Gabriele, |e author. |0 http://id.loc.gov/authorities/names/no2008149669 |1 http://viaf.org/viaf/30688110 | |
| 245 | 1 | 0 | |a Variable ordering structures in vector optimization / |c Gabriele Eichfelder. |
| 264 | 1 | |a Heidelberg ; |a New York : |b Springer, |c 2014. | |
| 300 | |a 1 online resource. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a computer |b c |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/c | ||
| 338 | |a online resource |b cr |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/cr | ||
| 490 | 1 | |a Vector optimization | |
| 588 | 0 | |a Print version record. | |
| 520 | |a This book provides an introduction to vector optimization with variable ordering structures, id est, to optimization problems with a vector-valued objective function where the elements in the objective space are compared based on a variable ordering structure: instead of a partial ordering defined by a convex cone, we see a whole family of convex cones, one attached to each element of the objective space. The book starts by presenting several applications that have recently sparked new interest in these optimization problems, and goes on to discuss fundamentals and important results on a wide range of topics. The theory developed includes various optimality notions, linear and nonlinear scalarization functionals, optimality conditions of Fermat and Lagrange type, existence and duality results. The book closes with a collection of numerical approaches for solving these problems in practice. | ||
| 505 | 0 | |a 1 Variable ordering structures -- 2 Optimality concepts and their characterization -- 3 Properties of cone-valued maps -- 4 Linear scalarizations -- 5 Nonlinear scalarizations -- 6 Scalarization for variable orderings given by Bishop-Phelps cones -- 7 Optimality conditions -- 8 Duality results -- 9 Numerical methods -- 10 Outlook and further application areas. | |
| 650 | 0 | |a Mathematical optimization. |0 http://id.loc.gov/authorities/subjects/sh85082127 | |
| 650 | 0 | |a Vector analysis. |0 http://id.loc.gov/authorities/subjects/sh85142449 | |
| 650 | 7 | |a MATHEMATICS |x Applied. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Probability & Statistics |x General. |2 bisacsh | |
| 650 | 7 | |a Science économique. |2 eclas | |
| 650 | 7 | |a Affaires. |2 eclas | |
| 650 | 7 | |a Mathematical optimization. |2 fast |0 (OCoLC)fst01012099 | |
| 650 | 7 | |a Vector analysis. |2 fast |0 (OCoLC)fst01164651 | |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Eichfelder, Gabriele. |t Variable ordering structures in vector optimization |z 3642542824 |w (OCoLC)868397550 |
| 830 | 0 | |a Vector optimization. |0 http://id.loc.gov/authorities/names/no2008173880 | |
| 856 | 4 | 0 | |u http://link.springer.com/10.1007/978-3-642-54283-1 |y SpringerLink |
| 903 | |a HeVa | ||
| 929 | |a eresource | ||
| 999 | f | f | |i 97894c2d-c07f-50a9-8198-5932d4c97104 |s c809cf7d-376e-5976-adee-0789dab970ff |
| 928 | |t Library of Congress classification |a QA402.5 |l Online |c UC-FullText |u http://link.springer.com/10.1007/978-3-642-54283-1 |z SpringerLink |g ebooks |i 9894600 | ||