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Bounds for positive roots of polynomials

✍ Scribed by John B. Kioustelidis


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
210 KB
Volume
16
Category
Article
ISSN
0377-0427

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✍ Maurice Mignotte πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 200 KB

We give bounds for the roots of such polynomials with complex coefficients. These bounds are much smaller than for general polynomials.

Bounds for Absolute Positiveness of Mult
✍ H. Hong πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 451 KB

A multivariate polynomial P (x 1 , . . . , xn) with real coefficients is said to be absolutely positive from a real number B iff it and all of its non-zero partial derivatives of every order are positive for x 1 , . . . , xn β‰₯ B. We call such B a bound for the absolute positiveness of P . This paper