4 papers
Primal superlinear convergence of SQP methods in piecewise linear-quadratic composite optimization
Ebrahim Sarabi
This paper mainly concerns with the primal superlinear convergence of the quasi-Newton sequential quadratic programming (SQP) method for piecewise linear-quadratic composite optimi…
Generalized Newton Algorithms for Tilt-Stable Minimizers in Nonsmooth Optimization
Boris Mordukhovich, Ebrahim Sarabi
This paper aims at developing two versions of the generalized Newton method to compute not merely arbitrary local minimizers of nonsmooth optimization problems but just those, whic…
Stability of KKT systems and superlinear convergence of the SQP method under parabolic regularity
Ashkan Mohammadi, Boris Mordukhovich, Ebrahim Sarabi
This paper pursues a two-fold goal. Firstly, we aim to derive novel second-order characterizations of important robust stability properties of perturbed Karush-Kuhn-Tucker systems…
Criticality of Lagrange Multipliers in Variational Systems
Boris Mordukhovich, Ebrahim Sarabi
The paper concerns the study of criticality of Lagrange multipliers in variational systems that has been recognized in both theoretical and numerical aspects of optimization and va…