Unpublished Paper
Continuous Dependence of Solutions of Equations on Parameters
Mathematical Sciences Technical Reports (MSTR)
Document Type
Article
Publication Date
9-2-2014
Disciplines
Abstract
It is shown under very general conditions that the solutions of equations depend continuously on the coefficients or parameters of the equations. The standard examples are solutions of monic polynomial equations and the eigenvalues of a matrix. However, the proof methods apply to any finite map T : Cn -> Cn.
Citation Information
Sean A Broughton. "Continuous Dependence of Solutions of Equations on Parameters" (2014) Available at: http://works.bepress.com/allen_broughton/15/
MSTR 14-03