On strong quasistability of a vector problem on substitutions
A type of the stability of the Pareto, Smale, and Slater sets for a problem of minimizing linear forms over an arbitrary set of substitutions of the symmetric group is investigated. This type of stability assumes that at least one substitution preserves corresponding efficiency for "small"...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vladimir Andrunachievici Institute of Mathematics and Computer Science
2001-05-01
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| Series: | Computer Science Journal of Moldova |
| Online Access: | http://www.math.md/nrofdownloads.php?file=/files/csjm/v9-n1/v9-n1-(pp71-85).pdf |
| _version_ | 1817993820313223168 |
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| author | V.A. Emelichev V.G. Pakhilka |
| author_facet | V.A. Emelichev V.G. Pakhilka |
| author_sort | V.A. Emelichev |
| collection | DOAJ |
| description | A type of the stability of the Pareto, Smale, and Slater sets for a problem of minimizing linear forms over an arbitrary set of substitutions of the symmetric group is investigated. This type of stability assumes that at least one substitution preserves corresponding efficiency for "small" independent perturbations of coefficients of the linear forms. Quantitative bounds of such a type of stability are found. |
| first_indexed | 2024-04-14T01:44:56Z |
| format | Article |
| id | doaj.art-476bf2ad6e4c454489f23e7c3bdf2b0c |
| institution | Directory Open Access Journal |
| issn | 1561-4042 |
| language | English |
| last_indexed | 2024-04-14T01:44:56Z |
| publishDate | 2001-05-01 |
| publisher | Vladimir Andrunachievici Institute of Mathematics and Computer Science |
| record_format | Article |
| series | Computer Science Journal of Moldova |
| spelling | doaj.art-476bf2ad6e4c454489f23e7c3bdf2b0c2022-12-22T02:19:35ZengVladimir Andrunachievici Institute of Mathematics and Computer ScienceComputer Science Journal of Moldova1561-40422001-05-0191(25)7185On strong quasistability of a vector problem on substitutionsV.A. Emelichev0V.G. Pakhilka1Belorussian State University, Ave. F.Skoriny, 4, Minsk 220050 BelarusBelorussian State University, Ave. F.Skoriny, 4, Minsk 220050 BelarusA type of the stability of the Pareto, Smale, and Slater sets for a problem of minimizing linear forms over an arbitrary set of substitutions of the symmetric group is investigated. This type of stability assumes that at least one substitution preserves corresponding efficiency for "small" independent perturbations of coefficients of the linear forms. Quantitative bounds of such a type of stability are found.http://www.math.md/nrofdownloads.php?file=/files/csjm/v9-n1/v9-n1-(pp71-85).pdf |
| spellingShingle | V.A. Emelichev V.G. Pakhilka On strong quasistability of a vector problem on substitutions Computer Science Journal of Moldova |
| title | On strong quasistability of a vector problem on substitutions |
| title_full | On strong quasistability of a vector problem on substitutions |
| title_fullStr | On strong quasistability of a vector problem on substitutions |
| title_full_unstemmed | On strong quasistability of a vector problem on substitutions |
| title_short | On strong quasistability of a vector problem on substitutions |
| title_sort | on strong quasistability of a vector problem on substitutions |
| url | http://www.math.md/nrofdownloads.php?file=/files/csjm/v9-n1/v9-n1-(pp71-85).pdf |
| work_keys_str_mv | AT vaemelichev onstrongquasistabilityofavectorproblemonsubstitutions AT vgpakhilka onstrongquasistabilityofavectorproblemonsubstitutions |