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A property of the nearly optimal root-bound

Publikationstyp
Journal Article
Date Issued
2004-02-13
Sprache
English
Author(s)
Batra, Prashant  orcid-logo
Institut
Zuverlässiges Rechnen E-19  
TORE-URI
http://hdl.handle.net/11420/7831
Journal
Journal of computational and applied mathematics  
Volume
167
Issue
2
Start Page
489
End Page
491
Citation
Journal of Computational and Applied Mathematics 2 (167): 489-491 (2004-06-01)
Publisher DOI
10.1016/j.cam.2003.10.019
Scopus ID
2-s2.0-2442595732
Publisher
North-Holland
The importance of root-bounds for practical and theoretical algorithms for polynomial root-approximation is well-known. The root-bound by Fujiwara was shown to be near optimal by van der Sluis, and is the most often used in practice. We show here that this bound always compares favorably with Kojima's bound, a question left open in the work of van der Sluis.
Subjects
Complex polynomials
Fujiwara's bound
Root-bounds
DDC Class
004: Informatik
510: Mathematik
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