M
M. Ebrahim Sarabi
Researcher at Miami University
Publications - 30
Citations - 352
M. Ebrahim Sarabi is an academic researcher from Miami University. The author has contributed to research in topics: Variational analysis & Lagrange multiplier. The author has an hindex of 9, co-authored 28 publications receiving 263 citations. Previous affiliations of M. Ebrahim Sarabi include Wayne State University.
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Second-order variational analysis in second-order cone programming
TL;DR: The paper proves that the indicator function of Q is always twice epi-differentiable and applies this result to characterizing the uniqueness of Lagrange multipliers together with an error bound estimate in the general second-order cone programming setting involving twice differentiable data.
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Variational Analysis of Composite Models with Applications to Continuous Optimization
TL;DR: The underlying theme of the study is a systematical replacement of conventional metric regularity and related requirements by much weaker metric subregulatity ones that lead to significantly stronger and completely new results of first-order and second-order variational analysis and optimization.
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Variational analysis and full stability of optimal solutions to constrained and minimax problems
TL;DR: In this article, the authors developed applications of advanced tools of first-order and second-order variational analysis and generalized differentiation to the fundamental notion of full stability of local minimizers of general classes of constrained optimization and minimax problems.
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Generalized Newton Algorithms for Tilt-Stable Minimizers in Nonsmooth Optimization
TL;DR: Two versions of the generalized Newton method are developed to compute not merely arbitrary local minimizers of nonsmooth optimization problems but just those, which possess an important stability property known as tilt stability, which are based on graphical derivatives of the latter.
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Criticality of Lagrange Multipliers in Variational Systems
TL;DR: Developing a novel approach, which is mainly based on advanced techniques and tools of second-order variational analysis and generalized differentiation, allows to overcome principal challenges of nonpolyhedrality and to establish complete characterizations on noncritical multipliers in such settings.