A Method to Find all the Roots of the System of Nonlinear Algebraic Equations Based on the Krawczyk Operator

Verfasser / Beitragende:
[V. Semenov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Cybernetics and Systems Analysis, 51/5(2015-09-01), 819-825
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10559-015-9775-0  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10559-015-9775-0 
100 1 |a Semenov  |D V.  |u Research and Development Enterprise "Delta SPE,”, Kyiv, Ukraine  |4 aut 
245 1 2 |a A Method to Find all the Roots of the System of Nonlinear Algebraic Equations Based on the Krawczyk Operator  |h [Elektronische Daten]  |c [V. Semenov] 
520 3 |a The author proposes a method to calculate all the roots of a system of nonlinear equations inside a multidimensional interval. The main idea of the method is to divide the original interval into subintervals, which either do not have roots or the root uniqueness criterion based on the Krawczyk operator is satisfied. An algorithm performing such a division is presented and examples are given. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a system of nonlinear equations  |2 nationallicence 
690 7 |a localization of roots  |2 nationallicence 
690 7 |a Krawczyk operator  |2 nationallicence 
773 0 |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/5(2015-09-01), 819-825  |x 1060-0396  |q 51:5<819  |1 2015  |2 51  |o 10559 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10559-015-9775-0  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Semenov  |D V.  |u Research and Development Enterprise "Delta SPE,”, Kyiv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/5(2015-09-01), 819-825  |x 1060-0396  |q 51:5<819  |1 2015  |2 51  |o 10559