A note on positive roots discrimination system

It is of theoretical and practical significance to determine the number of roots in a certain range of a polynomial by an explicit criterion. Positive roots discrimination system for polynomial is a set of explicit expressions in terms of the coefficients, which is sufficient for determining the num...

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Vydáno v:2008 IEEE International Conference on Systems, Man and Cybernetics s. 820 - 824
Hlavní autor: Chen, Min
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 01.10.2008
Témata:
Bezout matrix
explicit algorithm (key words)
Polynomials
Positive roots discrimination system
symbolic computation
ISBN:142442383X, 9781424423835
ISSN:1062-922X
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Popis
Shrnutí:It is of theoretical and practical significance to determine the number of roots in a certain range of a polynomial by an explicit criterion. Positive roots discrimination system for polynomial is a set of explicit expressions in terms of the coefficients, which is sufficient for determining the numbers of the positive roots. We give a new explicit criterion to determine the number of positive roots of a real polynomial with symbolic coefficients. The advantage is that the corresponding determination matrix has lower order, which facilitates symbolic computation. (Abstract)
ISBN:142442383X
9781424423835
ISSN:1062-922X
DOI:10.1109/ICSMC.2008.4811380