Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840719 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 20 Pages |
Abstract
In 2001, Burke and Overton showed that the abscissa mapping on polynomials is subdifferentially regular on the monic polynomials of degree nn. 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.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
James V. Burke, Julia Eaton,