On a posteriori approximation of a set of solutions to a system of quadratic equations with the use of the Newton method
Mikhail Yurjevich Kokurin, Alexander Ivanovich Kozlov
Mary State University, Space them. 1 Lenin, Yoshkar-Ola
Keywords: quadratic operator, the Newton method, a posteriori estimate, numerical range, convex hull
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.
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