Polynomial minimum root separation
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- by Siegfried M. Rump PDF
- Math. Comp. 33 (1979), 327-336 Request permission
Abstract:
The minimum root separation of an arbitrary polynomial P is defined as the minimum of the distances between distinct (real or complex) roots of P. Some asymptotically good lower bounds for the root separation of P are given, where P may have multiple zeros. There are applications in the analysis of complexity of algorithms and in the theory of algebraic and transcendental numbers.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Math. Comp. 33 (1979), 327-336
- MSC: Primary 12D10
- DOI: https://doi.org/10.1090/S0025-5718-1979-0514828-8
- MathSciNet review: 514828