2 papers
math.OC2019
Optimization and Positivity Certificates of Rational Functions using Bernstein Form
Tareq Hamadneh, Hassan Al-Zoubi, Hamza Alzaareer +1
Rational functions of total degree in n variables have a representation in the Bernstein form defined over dimensional simplex. The range of a rational function is bounded…
math.OC2019
Linear Optimization of Polynomials and Rational Functions over Boxes
Tareq Hamadneh, Hassan Al-Zoubi, Mohammad Al-Qudah +1
In this paper, we investigate the problem of finding tight linear lower bounding functions for multivariate polynomials over boxes. These functions are obtained by the expansion of…