82 citations · 98 across the 7 of their papers we have counts for
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math.OC2014★ 11 cited
Proximal Heterogeneous Block Input-Output Method and application to Blind Ptychographic Diffraction Imaging
Robert Hesse, D. Russell Luke, Shoham Sabach +1
We propose a general alternating minimization algorithm for nonconvex optimization problems with separable structure and nonconvex coupling between blocks of variables. To fix our…
math.OC2013★ 82 cited
Alternating Projections and Douglas-Rachford for Sparse Affine Feasibility
Robert Hesse, D. Russell Luke, Patrick Neumann
The problem of finding a vector with the fewest nonzero elements that satisfies an underdetermined system of linear equations is an NP-complete problem that is typically solved num…
math.OC2012★ 3 cited
Nonconvex notions of regularity and convergence of fundamental algorithms for feasibility problems
Robert Hesse, D. Russell Luke
We consider projection algorithms for solving (nonconvex) feasibility problems in Euclidean spaces. Of special interest are the Method of Alternating Projections (MAP) and the Doug…