The point source method in acoustic scattering: Numerical reconstruction of the scattered field from far field measurements of inhomogeneous media. - D. Russell Luke; Roland Potthast (ICASSP, 2002)

On the structure of some phase retrieval algorithms. - Heinz H. Bauschke; Patrick L. Combettes; D. Russell Luke (ICIP (2), 2002)

Optical Wavefront Reconstruction: Theory and Numerical Methods. - D. Russell Luke; James V. Burke; Richard G. Lyon (SIAM Rev., 2002)

The No Response Test—A Sampling Method for Inverse Scattering Problems. - D. Russell Luke; Roland Potthast (SIAM J. Appl. Math., 2003)

Variational Analysis Applied to the Problem of Optical Phase Retrieval. - James V. Burke; D. Russell Luke (SIAM J. Control. Optim., 2003)

Finding best approximation pairs relative to two closed convex sets in Hilbert spaces. - Heinz H. Bauschke; Patrick L. Combettes; D. Russell Luke (J. Approx. Theory, 2004)

Multifrequency inverse obstacle scattering: the point source method and generalized filtered backprojection. - D. Russell Luke (Math. Comput. Simul., 2004)

A new generation of iterative transform algorithms for phase contrast tomography. - Heinz H. Bauschke; Patrick L. Combettes; D. Russell Luke (ICASSP (4), 2005)

Image Synthesis for Inverse Obstacle Scattering Using the Eigenfunction Expansion Theorem. - D. Russell Luke (Computing, 2005)

A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space. - Heinz H. Bauschke; Patrick L. Combettes; D. Russell Luke (J. Approx. Theory, 2006)

Identifying Scattering Obstacles by the Construction of Nonscattering Waves. - D. Russell Luke; Anthony J. Devaney (SIAM J. Appl. Math., 2007)

Finding Best Approximation Pairs Relative to a Convex and Prox-Regular Set in a Hilbert Space. - D. Russell Luke (SIAM J. Optim., 2008)

Local Linear Convergence for Alternating and Averaged Nonconvex Projections. - Adrian S. Lewis; D. Russell Luke; Jérôme Malick (Found. Comput. Math., 2009)

MUSIC for Extended Scatterers as an Instance of the Factorization Method. - Tilo Arens; Armin Lechleiter; D. Russell Luke (SIAM J. Appl. Math., 2009)

Entropic Regularization of the ℓ 0 Function. - Jonathan M. Borwein; D. Russell Luke (Fixed-Point Algorithms for Inverse Problems in Science and Engineering, 2011)

Prox-Regularity of Rank Constraint Sets and Implications for Algorithms. - D. Russell Luke (J. Math. Imaging Vis., 2013)

Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems. - Robert Hesse; D. Russell Luke (SIAM J. Optim., 2013)

Restricted Normal Cones and Sparsity Optimization with Affine Constraints. - Heinz H. Bauschke; D. Russell Luke; Hung M. Phan; Xianfu Wang (Found. Comput. Math., 2014)

Alternating Projections and Douglas-Rachford for Sparse Affine Feasibility. - Robert Hesse; D. Russell Luke; Patrick Neumann 003 (IEEE Trans. Signal Process., 2014)

Activity Identification and Local Linear Convergence of Douglas-Rachford/ADMM under Partial Smoothness. - Jingwei Liang; Jalal Fadili; Gabriel Peyré; D. Russell Luke (SSVM, 2015)

Proximal Heterogeneous Block Implicit-Explicit Method and Application to Blind Ptychographic Diffraction Imaging. - Robert Hesse; D. Russell Luke; Shoham Sabach; Matthew K. Tam (SIAM J. Imaging Sci., 2015)

Duality and Convex Programming. - Jonathan M. Borwein; D. Russell Luke (Handbook of Mathematical Methods in Imaging, 2015)

Local Linear Convergence of the ADMM/Douglas-Rachford Algorithms without Strong Convexity and Application to Statistical Imaging. - Timo Aspelmeier; C. Charitha; D. Russell Luke (SIAM J. Imaging Sci., 2016)

A simple globally convergent algorithm for the nonsmooth nonconvex single source localization problem. - D. Russell Luke; Shoham Sabach; Marc Teboulle; Kobi Zatlawey (J. Glob. Optim., 2017)

Lagrange multipliers, (exact) regularization and error bounds for monotone variational inequalities. - C. Charitha; Joydeep Dutta; D. Russell Luke (Math. Program., 2017)

Symbolic computation with monotone operators. - Florian Lauster; D. Russell Luke; Matthew K. Tam (ACM Commun. Comput. Algebra, 2018)

Quantitative Convergence Analysis of Iterated Expansive, Set-Valued Mappings. - D. Russell Luke; Nguyen Hieu Thao; Matthew K. Tam (Math. Oper. Res., 2018)

Set regularities and feasibility problems. - Alexander Y. Kruger; D. Russell Luke; Nguyen Hieu Thao (Math. Program., 2018)

Optimization on Spheres: Models and Proximal Algorithms with Computational Performance Comparisons. - D. Russell Luke; Shoham Sabach; Marc Teboulle (SIAM J. Math. Data Sci., 2019)

Necessary conditions for linear convergence of iterated expansive, set-valued mappings. - D. Russell Luke; Marc Teboulle; Nguyen H. Thao (Math. Program., 2020)

Convergence Analysis of the Relaxed Douglas-Rachford Algorithm. - D. Russell Luke; Anna-Lena Martins (SIAM J. Optim., 2020)

Phase Retrieval with Sparse Phase Constraint. - Nguyen Hieu Thao; David Russell Luke; Oleg Soloviev; Michel Verhaegen (SIAM J. Math. Data Sci., 2020)

JWST. - David Russell Luke; Richard G. Lyon (GRO.data, 2021)

Symbolic Convex Analysis Toolkit. - David Russell Luke (GRO.data, 2024)

Replication Data for: A minimalist approach to 3D photoemission orbital tomography. - Thi Lan Dinh; G. S. Matthijs Jansen; D. Russell Luke; Wiebke Bennecke; Stefan Mathias (GRO.data, 2024)

Replication Data for: A minimalist approach to 3D photoemission orbital tomography. - Thi Lan Dinh; G. S. Matthijs Jansen; D. Russell Luke; Wiebke Bennecke; Stefan Mathias (GRO.data, 2024)

Replication Data for: A minimalist approach to 3D photoemission orbital tomography. - Thi Lan Dinh; G. S. Matthijs Jansen; D. Russell Luke; Wiebke Bennecke; Stefan Mathias (GRO.data, 2024)

Replication Data for: A minimalist approach to 3D photoemission orbital tomography. - Thi Lan Dinh; G. S. Matthijs Jansen; D. Russell Luke; Wiebke Bennecke; Stefan Mathias (GRO.data, 2024)

Replication Data for: A minimalist approach to 3D photoemission orbital tomography. - Thi Lan Dinh; G. S. Matthijs Jansen; D. Russell Luke; Wiebke Bennecke; Stefan Mathias (GRO.data, 2024)

Replication Data for: A minimalist approach to 3D photoemission orbital tomography. - Thi Lan Dinh; G. S. Matthijs Jansen; D. Russell Luke; Wiebke Bennecke; Stefan Mathias (GRO.data, 2024)

Symbolic Convex Analysis Toolkit. - David Russell Luke (GRO.data, 2024)

Data for class "PtychographyExperiment" in the ProxToolbox. - David Russell Luke (GRO.data, 2024)

Data for class "PhaseExperiment" in the ProxToolbox. - David Russell Luke (GRO.data, 2024)

Replication Data for: A minimalist approach to 3D photoemission orbital tomography. - David Russell Luke; Thi Lan Dinh (GRO.data, 2024)

A semi-Bregman proximal alternating method for a class of nonconvex problems: local and global convergence analysis. - Eyal Cohen; D. Russell Luke; Titus Pinta; Shoham Sabach; Marc Teboulle (J. Glob. Optim., 2024)

Replication Data for: ​Local linear convergence of approximate projections onto regularized sets​. - David Russell Luke (GRO.data, 2024)

Algorithmic approaches to avoiding bad local minima in nonconvex inconsistent feasibility. - Thi Lan Dinh; Wiebke Bennecke; G. S. Matthijs Jansen; D. Russell Luke; Stefan Mathias (CoRR, 2025)

Convergence in distribution of randomized algorithms: the case of partially separable optimization. - D. Russell Luke (Math. Program., 2025)