Article
On the Subdifferential Regularity of Max Root Functions for Polynomials
Nonlinear Analysis: Theory, Methods, And Applications
Publication Date
2-1-2012
Document Type
Article
Abstract
In 2001, Burke and Overton showed that the abscissa mapping on polynomials is subdifferentially regular on the monic polynomials of degree n. We extend this result to the class of max polynomial root functions which includes both the polynomial abscissa and the polynomial radius mappings. The approach to the computation of the subgradient simplifies that given by Burke and Overton and provides new insight into the variational properties of these functions.
DOI
10.1016/j.na.2011.01.021
Publisher Policy
pre-print, post-print
Citation Information
James V. Burke and Julie Eaton. "On the Subdifferential Regularity of Max Root Functions for Polynomials" Nonlinear Analysis: Theory, Methods, And Applications Vol. 75 Iss. 3 (2012) p. 1168 - 1187 Available at: http://works.bepress.com/julie_eaton/1/