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Generic cyclizability over real polynomials

✍ Scribed by Wiland Schmale

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
189 KB
Volume
26
Category
Article
ISSN
0167-6911

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πŸ“œ SIMILAR VOLUMES

Matrix cyclization over complex polynomi
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Let A be an n x n, B an n x tn complex polynomial matrix. The following open problem is investigated: does there exist a complex polynomial (m x n)-matrix F such that A + BF has a cyclic vector in the image of B? An explicit solution of the problem is given for the following generic situation: n 2 4

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Real Polynomials with All Roots on the Unit Circle and Abelian Varieties over Finite Fields
✍ Stephen A. DiPippo; Everett W. Howe πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 376 KB

In this paper we prove several theorems about abelian varieties over finite fields by studying the set of monic real polynomials of degree 2n all of whose roots lie on the unit circle. In particular, we consider a set V n of vectors in R n that give the coefficients of such polynomials. We calculate