Bounds for classical polynomials derivable by matrix methods
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- by J. L. Brenner
- Proc. Amer. Math. Soc. 30 (1971), 353-362
- DOI: https://doi.org/10.1090/S0002-9939-1971-0280756-3
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Abstract:
For a matrix with dominant diagonal, convenient upper and lower bounds for the determinant are available. Such bounds occur in the work of Price, Ostrowski, Hoffman, Haynsworth, and Brenner. In this article, the inequalities are used to bound the classical polynomials over a range of values of the argument.References
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- G. Baley Price, Bounds for determinants with dominant principal diagonal, Proc. Amer. Math. Soc. 2 (1951), 497–502. MR 41093, DOI 10.1090/S0002-9939-1951-0041093-2 I. Schur, Beispiele für Gleichungen ohne Affekt, Jber. Deutsch. Math.-Verein. 29 (1920).
Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 353-362
- MSC: Primary 33.40
- DOI: https://doi.org/10.1090/S0002-9939-1971-0280756-3
- MathSciNet review: 0280756