@article {MATHEDUC.02074074,
author = {Schmitt, Michael},
title = {New design for the Descartes rule of signs.},
year = {2004},
journal = {American Mathematical Monthly},
volume = {111},
number = {2},
issn = {0002-9890},
pages = {159-164},
publisher = {Mathematical Association of America (MAA), Washington, DC},
doi = {10.2307/4145218},
abstract = {The author continues and refines his previous paper ``Descartes' rule of signs for radial basis function neural networks'' [Neural Comput. 14, No. 12, 2997--3011 (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.},
reviewer = {Alexander Shapiro (Rishon-le-Zion)},
msc2010 = {I25xx (A35xx)},
identifier = {2007f.00341},
}