A Perturbed q-Tsallis Self-Concordant Barrier for Spectrally Robust Semidefinite Programming

Sergio Assuncao Monteiro, Fabricio Alves Barbosa da Silva

We introduce and analyse a perturbed $q$-Tsallis barrier for semidefinite programming (SDP), defined as a spectral perturbation of the classical log-det barrier on the cone of posi…