D. Russell Luke

Publication Activity (10 Years)

Years Active: 2002-2024
Publications (10 Years): 12

Top Topics

Convergence Analysis

Top Venues

SIAM J. Imaging Sci.

J. Glob. Optim.

Publications

Eyal Cohen, D. Russell Luke, Titus Pinta, Shoham Sabach, Marc Teboulle
A semi-Bregman proximal alternating method for a class of nonconvex problems: local and global convergence analysis. J. Glob. Optim. 89 (1) (2024)
D. Russell Luke, Marc Teboulle, Nguyen H. Thao
Necessary conditions for linear convergence of iterated expansive, set-valued mappings. Math. Program. 180 (1) (2020)
D. Russell Luke, Anna-Lena Martins
Convergence Analysis of the Relaxed Douglas-Rachford Algorithm. SIAM J. Optim. 30 (1) (2020)
D. Russell Luke, Shoham Sabach, Marc Teboulle
Optimization on Spheres: Models and Proximal Algorithms with Computational Performance Comparisons. SIAM J. Math. Data Sci. 1 (3) (2019)
D. Russell Luke, Nguyen Hieu Thao, Matthew K. Tam
Quantitative Convergence Analysis of Iterated Expansive, Set-Valued Mappings. Math. Oper. Res. 43 (4) (2018)
Alexander Y. Kruger, D. Russell Luke, Nguyen Hieu Thao
Set regularities and feasibility problems. Math. Program. 168 (1-2) (2018)
Florian Lauster, D. Russell Luke, Matthew K. Tam
Symbolic computation with monotone operators. ACM Commun. Comput. Algebra 52 (4) (2018)
C. Charitha, Joydeep Dutta, D. Russell Luke
Lagrange multipliers, (exact) regularization and error bounds for monotone variational inequalities. Math. Program. 161 (1-2) (2017)
D. Russell Luke, Shoham Sabach, Marc Teboulle, Kobi Zatlawey
A simple globally convergent algorithm for the nonsmooth nonconvex single source localization problem. J. Glob. Optim. 69 (4) (2017)
Timo Aspelmeier, C. Charitha, D. Russell Luke
Local Linear Convergence of the ADMM/Douglas-Rachford Algorithms without Strong Convexity and Application to Statistical Imaging. SIAM J. Imaging Sci. 9 (2) (2016)
Robert Hesse, D. Russell Luke, Shoham Sabach, Matthew K. Tam
Proximal Heterogeneous Block Implicit-Explicit Method and Application to Blind Ptychographic Diffraction Imaging. SIAM J. Imaging Sci. 8 (1) (2015)
Jingwei Liang, Jalal Fadili, Gabriel Peyré, D. Russell Luke
Activity Identification and Local Linear Convergence of Douglas-Rachford/ADMM under Partial Smoothness. SSVM (2015)
Heinz H. Bauschke, D. Russell Luke, Hung M. Phan, Xianfu Wang
Restricted Normal Cones and Sparsity Optimization with Affine Constraints. Found. Comput. Math. 14 (1) (2014)
Robert Hesse, D. Russell Luke, Patrick Neumann
Alternating Projections and Douglas-Rachford for Sparse Affine Feasibility. IEEE Trans. Signal Process. 62 (18) (2014)
D. Russell Luke
Prox-Regularity of Rank Constraint Sets and Implications for Algorithms. J. Math. Imaging Vis. 47 (3) (2013)
Robert Hesse, D. Russell Luke
Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems. SIAM J. Optim. 23 (4) (2013)
Adrian S. Lewis, D. Russell Luke, Jérôme Malick
Local Linear Convergence for Alternating and Averaged Nonconvex Projections. Found. Comput. Math. 9 (4) (2009)
Tilo Arens, Armin Lechleiter, D. Russell Luke
MUSIC for Extended Scatterers as an Instance of the Factorization Method. SIAM J. Appl. Math. 70 (4) (2009)
D. Russell Luke
Finding Best Approximation Pairs Relative to a Convex and Prox-Regular Set in a Hilbert Space. SIAM J. Optim. 19 (2) (2008)
D. Russell Luke, Anthony J. Devaney
Identifying Scattering Obstacles by the Construction of Nonscattering Waves. SIAM J. Appl. Math. 68 (1) (2007)
Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke
A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space. J. Approx. Theory 141 (1) (2006)
D. Russell Luke
Image Synthesis for Inverse Obstacle Scattering Using the Eigenfunction Expansion Theorem. Computing 75 (2-3) (2005)
Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke
A new generation of iterative transform algorithms for phase contrast tomography. ICASSP (4) (2005)
Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke
Finding best approximation pairs relative to two closed convex sets in Hilbert spaces. J. Approx. Theory 127 (2) (2004)
D. Russell Luke
Multifrequency inverse obstacle scattering: the point source method and generalized filtered backprojection. Math. Comput. Simul. 66 (4-5) (2004)
James V. Burke, D. Russell Luke
Variational Analysis Applied to the Problem of Optical Phase Retrieval. SIAM J. Control. Optim. 42 (2) (2003)
D. Russell Luke, Roland Potthast
The No Response Test---A Sampling Method for Inverse Scattering Problems. SIAM J. Appl. Math. 63 (4) (2003)
D. Russell Luke, Roland Potthast
The point source method in acoustic scattering: Numerical reconstruction of the scattered field from far field measurements of inhomogeneous media. ICASSP (2002)
D. Russell Luke, James V. Burke, Richard G. Lyon
Optical Wavefront Reconstruction: Theory and Numerical Methods. SIAM Rev. 44 (2) (2002)
Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke
On the structure of some phase retrieval algorithms. ICIP (2) (2002)