On the minimum of a positive polynomial over the standard simplex Export

@article{citeulike:4951383, abstract = {We present a new positive lower bound for the minimum value taken by a polynomial P with integer coefficients in k variables over the standard simplex of R^k, assuming that P is positive on the simplex. This bound depends only on the number of variables, the degree and the bitsize of the coefficients of P and improves all previous bounds for arbitrary polynomials which are positive over the simplex.}, archivePrefix = {arXiv}, author = {Jeronimo, Gabriela and Perrucci, Daniel}, citeulike-article-id = {4951383}, citeulike-linkout-0 = {http://arxiv.org/abs/0906.4377}, citeulike-linkout-1 = {http://arxiv.org/pdf/0906.4377}, day = {23}, eprint = {0906.4377}, keywords = {algebraic\_geometry, o-minimal}, month = {Jun}, posted-at = {2009-06-25 06:56:06}, priority = {2}, title = {On the minimum of a positive polynomial over the standard simplex}, url = {http://arxiv.org/abs/0906.4377}, year = {2009} }

TY - JOUR ID - citeulike:4951383 L3 - citeulike-article-id:4951383 N2 - We present a new positive lower bound for the minimum value taken by a polynomial P with integer coefficients in k variables over the standard simplex of R^k, assuming that P is positive on the simplex. This bound depends only on the number of variables, the degree and the bitsize of the coefficients of P and improves all previous bounds for arbitrary polynomials which are positive over the simplex. TI - On the minimum of a positive polynomial over the standard simplex KW - algebraic_geometry KW - o-minimal AU - Jeronimo, Gabriela AU - Perrucci, Daniel PY - 2009/Jun/23/ UR - http://arxiv.org/abs/0906.4377 ER -