Continuous Dependence of Solutions of Equations on Parameters

Authors

Sean A. Broughton, Rose-Hulman Institute of TechnologyFollow

Document Type

Article

Publication Date

9-2-2014

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.

Comments

MSTR 14-03

Recommended Citation

Broughton, Sean A., "Continuous Dependence of Solutions of Equations on Parameters" (2014). Mathematical Sciences Technical Reports (MSTR). 107.
https://scholar.rose-hulman.edu/math_mstr/107