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Author, Editor(s)

Author(s):

Mehlhorn, Kurt
Sagraloff, Michael

dblp
dblp



BibTeX cite key*:

MS:Bistream:2011

Title

Title*:

A deterministic algorithm for isolating real roots of a real polynomial

Journal

Journal Title*:

Journal of Symbolic Computation

Journal's URL:


Download URL
for the article:

http://dx.doi.org/10.1016/j.jsc.2010.09.004

Language:

English

Publisher

Publisher's
Name:

Elsevier

Publisher's URL:


Publisher's
Address:

Amsterdam

ISSN:


Vol, No, pp, Date

Volume*:

46

Number:

1

Publishing Date:

January 2011

Pages*:

70-90

Number of
VG Pages:


Page Start:

70

Page End:

90

Sequence Number:


DOI:

10.1016/j.jsc.2010.09.004

Note, Abstract, ©

Note:


(LaTeX) Abstract:

We describe a bisection algorithm for root isolation of polynomials with real coefficients. It is assumed that the coefficients can be approximated with arbitrary precision; exact computation in the field of coefficients is not required. We refer to such coefficients as bitstream coefficients. The algorithm is simpler, deterministic and has better asymptotic complexity than the randomized algorithm of Eigenwillig et al. (2005). We also discuss a partial extension to multiple roots.

URL for the Abstract:


Categories,
Keywords:


HyperLinks / References / URLs:


Copyright Message:


Personal Comments:


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Access Level:

Public

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Algorithms and Complexity Group

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BibTeX Entry:

@ARTICLE{MS:Bistream:2011,
AUTHOR = {Mehlhorn, Kurt and Sagraloff, Michael},
TITLE = {A deterministic algorithm for isolating real roots of a real polynomial},
JOURNAL = {Journal of Symbolic Computation},
PUBLISHER = {Elsevier},
YEAR = {2011},
NUMBER = {1},
VOLUME = {46},
PAGES = {70--90},
ADDRESS = {Amsterdam},
MONTH = {January},
DOI = {10.1016/j.jsc.2010.09.004},
}


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