A short proof of a continued fraction test for the stability of polynomials
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- by R. M. Hovstad PDF
- Proc. Amer. Math. Soc. 105 (1989), 76-79 Request permission
Abstract:
A generalized form related to the usual test fraction is used in an induction proof giving a quick access to the stability test for complex polynomials.References
- William B. Jones and Wolfgang J. Thron, Continued fractions, Encyclopedia of Mathematics and its Applications, vol. 11, Addison-Wesley Publishing Co., Reading, Mass., 1980. Analytic theory and applications; With a foreword by Felix E. Browder; With an introduction by Peter Henrici. MR 595864
- H. S. Wall, Polynomials whose zeros have negative real parts, Amer. Math. Monthly 52 (1945), 308–322. MR 12709, DOI 10.2307/2305291
- Evelyn Frank, On the zeros of polynomials with complex coefficients, Bull. Amer. Math. Soc. 52 (1946), 144–157. MR 14509, DOI 10.1090/S0002-9904-1946-08526-2
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 76-79
- MSC: Primary 30C15; Secondary 30B70
- DOI: https://doi.org/10.1090/S0002-9939-1989-0973839-7
- MathSciNet review: 973839