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What and Who
Title:Improved Root Separation Bound: Bigger and Geometric
Speaker:Hoon Hong
coming from:North Carolina State University
Speakers Bio:
Event Type:Talk
Visibility:D1, D2, D3, D4, D5, SWS, RG1, MMCI
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Level:Public Audience
Date, Time and Location
Date:Tuesday, 6 March 2018
Duration:60 Minutes
Building:E1 4
Let f be a square-free polynomial. The root separation of f is the minimum of the pair-wise distance between the complex roots of f. A root separation bound is a lower bound on the root separation.

Finding a root separation bound is a fundamental problem, arising in numerous disciplines in mathematics, science and engineering. Due to its importance, there has been extensive research on this problem, resulting in various celebrated bounds.

However, the previous bounds are still very pessimistically small. Furthermore, surprisingly, they are not compatible with the geometry roots: for instance, when the roots are doubled, the bounds do not double. Worse yet, the bounds even become smaller.

In this talk, we present another bound, which is "nicer" than the previous bounds in that
(1) It is siginificanly bigger (hence better) than the previous bounds.
(2) It is compatible with the geometry of the roots.

If time allows, we will also describe a generalization to multivariate polynomials systems.

This is a joint work with Aaron Herman and Elias Tsigaridas.
Name(s):Jennifer Müller
EMail:--email address not disclosed on the web
Video Broadcast
Video Broadcast:NoTo Location:
Tags, Category, Keywords and additional notes
Attachments, File(s):
Jennifer Müller/MPI-INF, 03/02/2018 09:53 AM
Last modified:
Uwe Brahm/MPII/DE, 03/06/2018 07:01 AM
  • Uwe Brahm, 03/02/2018 12:22 PM
  • Jennifer Müller, 03/02/2018 10:07 AM -- Created document.