Academic Journal
Methods of Chebyshev points of convex sets and their applications
| Title: | Methods of Chebyshev points of convex sets and their applications |
|---|---|
| Authors: | V. P. Bulatov, E. N. Yas’kova, T. I. Belykh |
| Source: | Computational Mathematics and Mathematical Physics. 48:16-29 |
| Publisher Information: | Pleiades Publishing Ltd, 2008. |
| Publication Year: | 2008 |
| Subject Terms: | Convex programming, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Numerical mathematical programming methods, Control/observation systems with incomplete information, 0211 other engineering and technologies, Chebyshev points, 02 engineering and technology, convex programming, integer programming |
| Description: | Summary: Chebyshev points of bounded convex sets, search algorithms for them, and various applications to convex programming are considered for simple approximations of reachable sets, optimal control, global optimization of additive functions on convex polyhedra, and integer programming. The problem of searching for Chebyshev points in multicriteria models of development and operation of electric power systems is considered. |
| Document Type: | Article |
| File Description: | application/xml |
| Language: | English |
| ISSN: | 1555-6662 0965-5425 |
| DOI: | 10.1134/s0965542508010028 |
| DOI: | 10.1134/s0005117908040164 |
| DOI: | 10.1007/s11470-008-1002-x |
| Access URL: | https://zbmath.org/5282402 https://doi.org/10.1007/s11470-008-1002-x https://link.springer.com/article/10.1134/S0005117908040164 https://rd.springer.com/article/10.1134/S0005117908040164 https://link.springer.com/content/pdf/10.1134/S0965542508010028.pdf https://ui.adsabs.harvard.edu/abs/2008CMMPh..48...16B/abstract |
| Rights: | Springer TDM |
| Accession Number: | edsair.doi.dedup.....a3fc16a61f12f8df2aaca9c287ea8d8c |
| Database: | OpenAIRE |
| ISSN: | 15556662 09655425 |
|---|---|
| DOI: | 10.1134/s0965542508010028 |