MPI-INF D1 Publications: Journal Article: A deterministic algorithm for isolating real roots of a real polynomial

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Author, Editor(s)

Author(s):

Mehlhorn, Kurt
Sagraloff, Michael

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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.
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Download Access Level:	Public

Correlation

MPG Unit:	Max-Planck-Institut für Informatik

MPG Subunit:	Algorithms and Complexity Group
Appearance:	MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort

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},
}

Entry last modified by Anja Becker, 02/13/2012

Edit History (please click the blue arrow to see the details)

	Editor(s) [Library]	Created 01/18/2011 12:20:42 PM
Revisions 2. 1. 0.	Editor(s) Anja Becker Michael Sagraloff Michael Sagraloff	Edit Dates 13.02.2012 14:21:39 03/22/2011 05:26:11 PM 18.01.2011 12:20:42

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