5 citations · 5 across the 9 of their papers we have counts for
10 papers
Twice Epi-Differentiability of Spectral Functions and its applications
Chao Ding, Ebrahim Sarabi, Shiwei Wang
Second-order variational properties have been shown to play important theoretical and numerical roles for different classes of optimization problems. Among such properties, twice e…
Characterizations of Tilt-Stable Local Minimizers of a Class of Matrix Optimization Problems
Chao Ding, Ebrahim Sarabi, Shiwei Wang
Tilt stability plays a pivotal role in understanding how local solutions of an optimization problem respond to small, targeted perturbations of the objective. Although quadratic bu…
A fresh look into variational analysis of -partly smooth functions
Nguyen T. V. Hang, Ebrahim Sarabi
-partial smoothness of functions has been an important subject of research in optimization, on both theoretical and algorithmic aspects, since it was first introduced…
Smoothness of Subgradient Mappings and Its Applications in Parametric Optimization
Nguyen T. V. Hang, Ebrahim Sarabi
We demonstrate that the concept of strict proto-differentiability of subgradient mappings can play a similar role as smoothness of the gradient mapping of a function in the study o…
Parabolic Regularity of Spectral Functions
Ashkan Mohammadi, Ebrahim Sarabi
This paper is devoted to the study of the second-order variational analysis of spectral functions. It is well-known that spectral functions can be expressed as a composite function…
Role of Subgradients in Variational Analysis of Polyhedral Functions
N. T. V. Hang, W. Jung, M. E. Sarabi
Understanding the role that subgradients play in various second-order variational analysis constructions can help us uncover new properties of important classes of functions in var…
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…