The stable calculation of polynomial values
β Scribed by N.S. Bakhvalov
- Publisher
- Elsevier Science
- Year
- 1971
- Weight
- 452 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0041-5553
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π SIMILAR VOLUMES
A real polynomial is asymptotically stable when all of its zeros lie in the open Ε½ . left half of the complex plane. We show that the Hadamard coefficient-wise product of two stable polynomials is again stable, improving upon some known results. Via the associated Hurwitz matrices we find another ex
SuJicient conditions are given under which convex combinations of stable (complex and real) polynomials are stable.
Suppose that f Κ¦ β«Νήβ¬xΝ. Put D f (n) Ο minΝk ΟΎ 0 Ν f (1), . . . , f (n) are pairwise incongruent modulo kΝ. Special cases of this function were previously considered, using methods from elementary number theory. Results from the theory of finite fields are used to prove a theorem that for all f in a