H
Hung M. Phan
Researcher at University of Massachusetts Lowell
Publications - 59
Citations - 1049
Hung M. Phan is an academic researcher from University of Massachusetts Lowell. The author has contributed to research in topics: Rate of convergence & Convergence (routing). The author has an hindex of 17, co-authored 57 publications receiving 960 citations. Previous affiliations of Hung M. Phan include University of Victoria & University of Massachusetts Amherst.
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Full length article: The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle
TL;DR: In this article, it was shown that the Douglas-Rachford splitting algorithm converges strongly to the projection of the starting point onto the intersection of two convex sets, and if the sum of the two subspaces is closed, then the convergence is linear with the rate being the cosine of the Friedrichs angle between the subspace.
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Linear convergence of the Douglas–Rachford method for two closed sets
TL;DR: It is shown that under certain regularity conditions, the Douglas–Rachford method converges locally with -linear rate, and it is proved that the linear convergence is global.
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Linear and strong convergence of algorithms involving averaged nonexpansive operators
TL;DR: In this paper, the authors introduced regularity notions for averaged nonexpansive operators, combined with regularity notion of their fixed point sets, and obtained linear and strong convergence results for quasicyclic, cyclic, and random iterations.
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Restricted Normal Cones and the Method of Alternating Projections: Theory
TL;DR: In this paper, the theory of restricted normal cones is introduced and developed, which generalizes the classical Mordukhovich normal cone and provides the theoretical underpinning for a subsequent article in which these tools are applied to obtain a convergence analysis of the method of alternating projections for nonconvex sets.
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Restricted Normal Cones and the Method of Alternating Projections: Applications
TL;DR: In this article, the authors extend and develop the Lewis-Luke-Malick framework to cover nonconvex sets with the restricted normal cone, which is a generalization of the classical Mordukhovich normal cone.