## A sequence of tests on derived polynomials to be strictly Hurwitz polynomials is shown to be equivalent to a given (typically real) polynomial having all its zeros in an open sector, symmetric with respect to the real axis, in the left half-plane. 7'he number of tests needed is at most 1 + [(In
Polynomial Root Motion
โ Scribed by Christopher Frayer and James A. Swenson
- Book ID
- 120076876
- Publisher
- Mathematical Association of America
- Year
- 2010
- Tongue
- English
- Weight
- 162 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0002-9890
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๐ SIMILAR VOLUMES
There is a well-known lower bound, due to Mignotte, for the minimum root separation of a squarefree integral polynomial, but no evidence for the sharpness of this bound. This paper provides massive computational evidence for a conjectured much larger bound, one that is approximately the square root
A criterion for root exclusion from a region composed as a union of elemental regions-discs and halfplanes-is established. Associated with each elemental region is a derived polynomial which must be by the criterion a strictly Hurwitz polynomial. The criterion is the basis for a root exclusion test,
International Symposium on Symbolic and Algebraic Computation 92: July 27-29, Berkeley California