The roots of a polynomial vary continuously as a function of the coefficients
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- by Gary Harris and Clyde Martin PDF
- Proc. Amer. Math. Soc. 100 (1987), 390-392 Request permission
Addendum: Proc. Amer. Math. Soc. 102 (1988), 993-994.
Abstract:
We present an elementary topological proof that the roots of a polynomial vary continuously as a function of the coefficients.References
- Lars Hörmander, An introduction to complex analysis in several variables, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1966. MR 0203075
- John L. Kelley, General topology, D. Van Nostrand Co., Inc., Toronto-New York-London, 1955. MR 0070144
- Morris Marden, Geometry of polynomials, 2nd ed., Mathematical Surveys, No. 3, American Mathematical Society, Providence, R.I., 1966. MR 0225972 B. L. van der Waerden, Algebra, I, Ungar, New York, 1970
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 390-392
- MSC: Primary 30C15; Secondary 26C10, 54B15
- DOI: https://doi.org/10.1090/S0002-9939-1987-0884486-8
- MathSciNet review: 884486