Buzano’s inequality and bounds for roots of algebraic equations
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- by Masatoshi Fujii and Fumio Kubo PDF
- Proc. Amer. Math. Soc. 117 (1993), 359-361 Request permission
Abstract:
A new bound for roots of algebraic equations will be given as a consequence of an inequality due to Buzano.References
- Maria Luisa Buzano, Generalizzazione della diseguaglianza di Cauchy-Schwarz, Rend. Sem. Mat. Univ. e Politec. Torino 31 (1971/73), 405–409 (1974) (Italian, with English summary). MR 0344857
- Kenneth R. Davidson and John A. R. Holbrook, Numerical radii of zero-one matrices, Michigan Math. J. 35 (1988), no. 2, 261–267. MR 959273, DOI 10.1307/mmj/1029003753
- Masatoshi Fujii and Fumio Kubo, Operator norms as bounds for roots of algebraic equations, Proc. Japan Acad. 49 (1973), 805–808. MR 364310
- Roger A. Horn and Charles R. Johnson, Matrix analysis, Cambridge University Press, Cambridge, 1985. MR 832183, DOI 10.1017/CBO9780511810817
- Morris Marden, The Geometry of the Zeros of a Polynomial in a Complex Variable, Mathematical Surveys, No. 3, American Mathematical Society, New York, N. Y., 1949. MR 0031114
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 359-361
- MSC: Primary 47A30; Secondary 15A63, 26D99, 47A99
- DOI: https://doi.org/10.1090/S0002-9939-1993-1088441-X
- MathSciNet review: 1088441