Innnite-dimensional Semideenite Programming:regularized Determinants and Self-concordant Barriers


We discuss possible approaches to generalizations of the semideenite programming in a more general context of the innnite-dimensional version of the Nesterov-Nemirovsky scheme. Examples of innnite-dimensional operator domains for which there exist self-concordant barriers are presented. The key notion of the regularized determinant is used to construct self… (More)