2 papers
math.OC2012
Minimizing Rational Functions by Exact Jacobian SDP Relaxation Applicable to Finite Singularities
Feng Guo, Li Wang, Guangming Zhou
This paper considers the optimization problem of minimizing a rational function. We reformulate this problem as polynomial optimization by the technique of homogenization. These tw…
math.OC2012
Certificates of Impossibility of Hilbert-Artin Representations of a Given Degree for Definite Polynomials and Functions
Feng Guo, Erich L. Kaltofen, Lihong Zhi
We deploy numerical semidefinite programming and conversion to exact rational inequalities to certify that for a positive semidefinite input polynomial or rational function, any re…