Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2009, Volume 85, Issue 1, Pages 73–88
DOI: https://doi.org/10.4213/mzm4034 (Mi mzm4034) 		 
Algorithm for Calculating the Roots of Polynomials with Coefficients in the Ring of Polynomials over an Arbitrary Integral Domain

A. Maevskiy

Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences
Full-text PDF (531 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm4034
Abstract: A deterministic algorithm for calculating the roots of polynomials in one variable with coefficients in the ring of polynomials in several variables over an arbitrary integral domain is constructed. An estimate for the arithmetic complexity of the algorithm in the worst case is obtained.
Keywords: root of a polynomial, deterministic algorithm, integral domain, polynomial ring, arithmetic complexity, algebraic-geometric code, principal prime ideal.
Received: 20.08.2007
English version:
Mathematical Notes, 2009, Volume 85, Issue 1, Pages 68–81
DOI: https://doi.org/10.1134/S0001434609010076
Bibliographic databases:
UDC: 512.662
Language: Russian
Citation: A. Maevskiy, “Algorithm for Calculating the Roots of Polynomials with Coefficients in the Ring of Polynomials over an Arbitrary Integral Domain”, Mat. Zametki, 85:1 (2009), 73–88; Math. Notes, 85:1 (2009), 68–81
Citation in format AMSBIB
\Bibitem{Mae09}
\by A.~Maevskiy
\paper Algorithm for Calculating the Roots of Polynomials with Coefficients in the Ring of Polynomials over an Arbitrary Integral Domain
\jour Mat. Zametki
\yr 2009
\vol 85
\issue 1
\pages 73--88
\mathnet{http://mi.mathnet.ru/mzm4034}
\crossref{https://doi.org/10.4213/mzm4034}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2547965}
\zmath{https://zbmath.org/?q=an:1173.13318}
\transl
\jour Math. Notes
\yr 2009
\vol 85
\issue 1
\pages 68--81
\crossref{https://doi.org/10.1134/S0001434609010076}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000264327200007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-62949198929}
Linking options:
  • https://www.mathnet.ru/eng/mzm4034
  • https://doi.org/10.4213/mzm4034
  • https://www.mathnet.ru/eng/mzm/v85/i1/p73
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:796
    Full-text PDF :558
    References:45
    First page:23
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024