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Matematicheskie Zametki, 1996, Volume 60, Issue 5, Pages 670–680
DOI: https://doi.org/10.4213/mzm1880 (Mi mzm1880) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Topological complexity and real roots of polynomials

V. A. Vassiliev

Steklov Mathematical Institute, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/mzm1880
Abstract: The topological complexity of an algorithm is the number of its branchings. In the paper we prove that the minimal topological complexity of an algorithm that approximately computes a root of a real polynomial of degree $d$ equals $d/2$ for even $d$, is greater than or equal to 1 for odd $d>-3$, and equals 1 for $d=3$ or 5.
Received: 13.03.1996
English version:
Mathematical Notes, 1996, Volume 60, Issue 5, Pages 503–509
DOI: https://doi.org/10.1007/BF02309164
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: V. A. Vassiliev, “Topological complexity and real roots of polynomials”, Mat. Zametki, 60:5 (1996), 670–680; Math. Notes, 60:5 (1996), 503–509
Citation in format AMSBIB
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\paper Topological complexity and real roots of polynomials
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\yr 1996
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\issue 5
\pages 670--680
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\transl
\jour Math. Notes
\yr 1996
\vol 60
\issue 5
\pages 503--509
\crossref{https://doi.org/10.1007/BF02309164}
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    • This publication is cited in the following 2 articles:
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