Smoothed analysis for the condition number of structured real polynomial systems-Reference-Cited by-同舟云学术

Smoothed analysis for the condition number of structured real polynomial systems

Published:2021-06-18 Issue:331 Volume:90 Page:2161-2184
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Ergür Alperen,Paouris Grigoris,Rojas J.

Abstract

We consider the sensitivity of real zeros of structured polynomial systems to pertubations of their coefficients. In particular, we provide explicit estimates for condition numbers of structured random real polynomial systems and extend these estimates to the smoothed analysis setting.

Funder

Einstein Stiftung Berlin

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

https://www.ams.org/mcom/2021-90-331/S0025-5718-2021-03647-9/mcom3647_AM.pdf

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