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CONTINUITY OF ROOTS, REVISITED
Published online by Cambridge University Press: 15 August 2018
Abstract
The aim of this note is to give a simple topological proof of the well-known result concerning continuity of roots of polynomials. We also consider a more general case with polynomials of a higher degree approaching a given polynomial. We then examine the continuous dependence of solutions of linear differential equations with constant coefficients.
Keywords
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 98 , Issue 3 , December 2018 , pp. 448 - 455
- Copyright
- © 2018 Australian Mathematical Publishing Association Inc.
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