This article is cited in 16 papers

Regular zeros of quadratic maps and their application

A. V. Arutyunov^a, D. Yu. Karamzin<sup>b

a</sup> Peoples Friendship University of Russia
^b Dorodnitsyn Computing Centre of the Russian Academy of Sciences

Abstract: 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.

UDC: 515.164.15+517.275

MSC: Primary 26B10; Secondary 47J05, 58C15, 58C25

Received: 14.12.2009 and 28.02.2011

DOI: 10.4213/sm7664

 English version: Sbornik: Mathematics, 2011, 202:6, 783–806

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