Geodesic
Regular zeros of quadratic maps and their application
Sbornik. Mathematics, Tome 202 (2011) no. 6, pp. 783-806

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Sufficient conditions for the existence of regular zeros of quadratic maps are obtained. Their applications are indicated to certain problems of analysis related to the inverse function theorem in a neighbourhood of an abnormal point. Bibliography: 13 titles.
Keywords: quadratic maps, regular zeros, inverse function theorem. 
A. V. Arutyunov; D. Yu. Karamzin. Regular zeros of quadratic maps and their application. Sbornik. Mathematics, Tome 202 (2011) no. 6, pp. 783-806. http://geodesic.mathdoc.fr/item/SM_2011_202_6_a0/
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