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Sbornik: Mathematics, 2011, Volume 202, Issue 6, Pages 783–806
DOI: https://doi.org/10.1070/SM2011v202n06ABEH004166 (Mi sm7664) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Regular zeros of quadratic maps and their application

A. V. Arutyunova, D. Yu. Karamzinb

a Peoples Friendship University of Russia
b Dorodnitsyn Computing Centre of the Russian Academy of Sciences
English version PDF (576 kB) Citations (14)
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DOI: https://doi.org/10.1070/SM2011v202n06ABEH004166
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.
Received: 14.12.2009 and 28.02.2011
Russian version:
Matematicheskii Sbornik, 2011, Volume 202, Number 6, Pages 3–28
DOI: https://doi.org/10.4213/sm7664
Bibliographic databases:
Document Type: Article
UDC: 515.164.15+517.275
MSC: Primary 26B10; Secondary 47J05, 58C15, 58C25
Language: English
Original paper language: Russian
Citation: A. V. Arutyunov, D. Yu. Karamzin, “Regular zeros of quadratic maps and their application”, Mat. Sb., 202:6 (2011), 3–28; Sb. Math., 202:6 (2011), 783–806
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2011v202n06ABEH004166
  • https://www.mathnet.ru/eng/sm/v202/i6/p3
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:860
    Russian version PDF:254
    English version PDF:9
    References:86
    First page:50
     
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