| Инд. авторы: | Shary S.P. |
| Заглавие: | New characterizations for the solution set to interval linear systems of equations |
| Библ. ссылка: | Shary S.P. New characterizations for the solution set to interval linear systems of equations // Applied Mathematics and Computation. - 2015. - Vol.265. - P.570-573. - ISSN 0096-3003. - EISSN 1873-5649. |
| Внешние системы: | DOI: 10.1016/j.amc.2015.05.029; РИНЦ: 23989003; SCOPUS: 2-s2.0-84935910281; WoS: 000358787100048; |
| Реферат: | eng: New characterizations of the points from the solution set to interval linear systems of equations are proposed, alternatives to the well-known result by Oettli and Prager. We also introduce recognizing functionals of the solution sets that determine, at a given point, aggregated quantitative measures of compatibility (consistency) between the interval data of the system.
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| Ключевые слова: | Characterization; Solution set; Interval linear equations; |
| Издано: | 2015 |
| Физ. характеристика: | с.570-573 |
| Цитирование: | 1. R.B. Kearfott, M. Nakao, A. Neumaier, S. Rump, S.P. Shary, P. van Hentenryck Standardized notation in interval analysis Comput. Technol. 15 1 2010 7 13
2. S.P. Shary A new technique in systems analysis under interval uncertainty and ambiguity Reliable Comput. 8 5 2002 321 418 Electronic version of the paper is downloadable from http://www.nsc.ru/interval/shary/Papers/ANewTech.pdf
3. W. Oettli, W. Prager Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides Numer. Math. 6 1964 405 409
4. H. Beeck Über die Struktur und Abschätzungen der Lösungsmenge von linearen Gleichungssystemen mit Intervallkoeffizienten Computing 10 1972 231 244
5. A. Neumaier Interval Methods for Systems of Equations 1990 Cambridge University Press Cambridge
6. R.E. Moore, R.B. Kearfott, M.J. Cloud Introduction to Interval Analysis 2009 SIAM Philadelphia
7. S.P. Shary Solvability of interval linear equations and data analysis under uncertainty Autom. Remote Control 73 2 2012 310 322 doi:10.1134/S0005117912020099
8. S.P. Shary Maximum consistency method for data fitting under interval uncertainty 16th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics SCAN 2014, Book of Abstracts September 21-26, 2014 Department of Computer Science, University of Würzburg Germany 147 148 Electronic version is available at http://www.scan2014.uni-wuerzburg.de/book-of-abstracts
9. S.P. Shary, I.A. Sharaya Recognizing solvability of interval equations and its application to data analysis Comput. Technol. 18 3 2013 80 109 (in Russian) http://www.ict.nsc.ru/jct/getfile.php?id=1551
10. S.P. Shary, I.A. Sharaya On solvability recognition for interval linear systems of equations Optim. Lett. 2015 doi:10.1007/s11590-015-0891-6 Prepublished on May 6
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