2 papers
math.OC2024
Tight error bounds for log-determinant cones without constraint qualifications
Ying Lin, Scott B. Lindstrom, Bruno F. Lourenço +1
In this paper, without requiring any constraint qualifications, we establish tight error bounds for the log-determinant cone, which is the closure of the hypograph of the perspecti…
math.OC2023
Closing Duality Gaps of SDPs through Perturbation
Takashi Tsuchiya, Bruno F. Lourenço, Masakazu Muramatsu +1
Let be a primal-dual pair of SDPs with a nonzero finite duality gap. Under such circumstances, and are weakly feasible and if we perturb the…