Geodesic
On a~posteriori approximation of a~set of solutions to a~system of quadratic equations with the use of the Newton method
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 1, pp. 53-65

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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. 
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     title = {On a~posteriori approximation of a~set of solutions to a~system of quadratic equations with the use of the {Newton} method},
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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. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 1, pp. 53-65. http://geodesic.mathdoc.fr/item/SJVM_2014_17_1_a4/