Large roots yield large coefficients. An addendum to: “The roots of a polynomial vary continuously as a function of the coefficients” [Proc. Amer. Math. Soc. 100 (1987), no. 2, 390–392; MR0884486 (88h:30006)]
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- by Gary Harris and Clyde Martin PDF
- Proc. Amer. Math. Soc. 102 (1988), 993-994 Request permission
Abstract:
We provide the details to the argument that the map $\hat \sigma$, defined in the above named paper, is open. We do this by including two trivial arguments that a polynomial with a big root must also have a big coefficient.References
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Rajendra Bhatia and Kalyan Mukherjea, The space of unordered tuples of complex numbers, Linear Algebra Appl. 52/53 (1983), 765-768.
- Gary Harris and Clyde Martin, The roots of a polynomial vary continuously as a function of the coefficients, Proc. Amer. Math. Soc. 100 (1987), no. 2, 390–392. MR 884486, DOI 10.1090/S0002-9939-1987-0884486-8
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 993-994
- MSC: Primary 26C10; Secondary 30C15
- DOI: https://doi.org/10.1090/S0002-9939-1988-0934880-2
- MathSciNet review: 934880