552 citations · 1.2k across the 33 of their papers we have counts for
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math.OC2017★ 27 cited
Necessary conditions for linear convergence of iterated expansive, set-valued mappings with application to alternating projections
D. Russell Luke, Marc Teboulle, Nguyen H. Thao
We present necessary conditions for monotonicity, in one form or another, of fixed point iterations of mappings that violate the usual nonexpansive property. We show that most reas…
math.OC2017★ 5 cited
Symbolic computation with monotone operators
Florian Lauster, D. Russell Luke, Matthew K. Tam
We consider a class of monotone operators which are appropriate for symbolic representation and manipulation within a computer algebra system. Various structural properties of the…
math.OC2017★ 9 cited
A Globally Linearly Convergent Method for Pointwise Quadratically Supportable Convex-Concave Saddle Point Problems
D. Russell Luke, Ron Shefi
We study the \emph{Proximal Alternating Predictor-Corrector} (PAPC) algorithm introduced recently by Drori, Sabach and Teboulle to solve nonsmooth structured convex-concave saddle…