1 research outputs found
Stability under perturbations of some condition numbers in optimization.
The behavior of condition numbers for free optimization problems under perturbations
is considered in the innite - dimensional setting. Semicontinuity properties via distance
to ill - conditioning are obtained. Convergence theorems of the condition numbers are
proved under variational convergence of the perturbed problems and suitable behavior of
the gradients of the corresponding functionals. The particular case of convex quadratic
forms is presented