
02074074
j
2007f.00341
Schmitt, Michael
New design for the Descartes rule of signs.
Am. Math. Mon. 111, No. 2, 159164 (2004).
2004
Mathematical Association of America (MAA), Washington, DC
EN
I25
A35
Descartes rule of signs
radial basis function network
history of mathematics
Zbl 1079.68597
doi:10.2307/4145218
The author continues and refines his previous paper ``Descartes' rule of signs for radial basis function neural networks'' [Neural Comput. 14, No. 12, 29973011 (2002; Zbl 1079.68597)]. It turns out that radial basis function network is a very useful framework for studying Descartes' rule of signs. Using this framework the author constructs a counterexample to Grabiner's conjecture about the number of possible positive and negative zeros of a polynomial and sign changes in a sequence of coefficients of this polynomial.
Alexander Shapiro (RishonleZion)