Mathematics of Operations Research, Vol. 38, No. 3 (August 2013), pp. 569-590 (22 pages) Farkas' lemma is a fundamental result from linear programming providing linear certificates for infeasibility ...

We analyze two popular semidefinite programming relaxations for quadratically constrained quadratic programs with matrix variables. These relaxations are based on vector lifting and on matrix lifting; ...

Matrix inequalities and means constitute a vibrant area of contemporary mathematical research, blending classical matrix theory with modern applications in numerical analysis, control theory and ...