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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2014, Volume 17, Number 1, Pages 53–65 (Mi sjvm531)  
This article is cited in 1 scientific paper (total in 1 paper)

On a posteriori approximation of a set of solutions to a system of quadratic equations with the use of the Newton method

M. Yu. Kokurin, A. I. Kozlov

Mari State University, pl. Lenina 1, Yoshkar-Ola, 424001, Russia
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Abstract: For quadratic systems of algebraic equations we propose an algorithm generating a posteriori estimates of a convex hull of a set of solutions using the results of a step of the Newton method. Results of numerical tests are given.
Key words: quadratic operator, the Newton method, a posteriori estimate, numerical range, convex hull.
Received: 27.11.2012
English version:
Numerical Analysis and Applications, 2014, Volume 7, Issue 1, Pages 45–56
DOI: https://doi.org/10.1134/S1995423914010054
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: M. Yu. Kokurin, A. I. Kozlov, “On a posteriori approximation of a set of solutions to a system of quadratic equations with the use of the Newton method”, Sib. Zh. Vychisl. Mat., 17:1 (2014), 53–65; Num. Anal. Appl., 7:1 (2014), 45–56
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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