D. Russell Luke

According to our database, D. Russell Luke authored at least 33 papers between 2002 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

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., May, 2024

2020

Phase Retrieval with Sparse Phase Constraint.

Nguyen Hieu Thao, David Russell Luke, Oleg Soloviev, Michel Verhaegen

SIAM J. Math. Data Sci., 2020

Convergence Analysis of the Relaxed Douglas-Rachford Algorithm.

D. Russell Luke, Anna-Lena Martins

SIAM J. Optim., 2020

Necessary conditions for linear convergence of iterated expansive, set-valued mappings.

D. Russell Luke, Marc Teboulle, Nguyen H. Thao

Math. Program., 2020

2019

Optimization on Spheres: Models and Proximal Algorithms with Computational Performance Comparisons.

D. Russell Luke, Shoham Sabach, Marc Teboulle

SIAM J. Math. Data Sci., 2019

2018

Set regularities and feasibility problems.

Alexander Y. Kruger, D. Russell Luke, Nguyen Hieu Thao

Math. Program., 2018

Quantitative Convergence Analysis of Iterated Expansive, Set-Valued Mappings.

D. Russell Luke, Nguyen Hieu Thao, Matthew K. Tam

Math. Oper. Res., 2018

Symbolic computation with monotone operators.

Florian Lauster, D. Russell Luke, Matthew K. Tam

ACM Commun. Comput. Algebra, 2018

2017

Lagrange multipliers, (exact) regularization and error bounds for monotone variational inequalities.

C. Charitha, Joydeep Dutta, D. Russell Luke

Math. Program., 2017

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

2016

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

2015

Duality and Convex Programming.

Jonathan M. Borwein, D. Russell Luke

Proceedings of the Handbook of Mathematical Methods in Imaging, 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

Activity Identification and Local Linear Convergence of Douglas-Rachford/ADMM under Partial Smoothness.

Jingwei Liang, Jalal Fadili, Gabriel Peyré, D. Russell Luke

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2015

2014

Alternating Projections and Douglas-Rachford for Sparse Affine Feasibility.

Robert Hesse, D. Russell Luke, Patrick Neumann

IEEE Trans. Signal Process., 2014

Restricted Normal Cones and Sparsity Optimization with Affine Constraints.

Heinz H. Bauschke, D. Russell Luke, Hung M. Phan, Xianfu Wang

Found. Comput. Math., 2014

2013

Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems.

Robert Hesse, D. Russell Luke

SIAM J. Optim., 2013

Prox-Regularity of Rank Constraint Sets and Implications for Algorithms.

D. Russell Luke

J. Math. Imaging Vis., 2013

2011

Entropic Regularization of the ℓ 0 Function.

Jonathan M. Borwein, D. Russell Luke

Proceedings of the Fixed-Point Algorithms for Inverse Problems in Science and Engineering, 2011

2009

MUSIC for Extended Scatterers as an Instance of the Factorization Method.

Tilo Arens, Armin Lechleiter, D. Russell Luke

SIAM J. Appl. Math., 2009

Local Linear Convergence for Alternating and Averaged Nonconvex Projections.

Adrian S. Lewis, D. Russell Luke, Jérôme Malick

Found. Comput. Math., 2009

2008

Finding Best Approximation Pairs Relative to a Convex and Prox-Regular Set in a Hilbert Space.

D. Russell Luke

SIAM J. Optim., 2008

2007

Identifying Scattering Obstacles by the Construction of Nonscattering Waves.

D. Russell Luke, Anthony J. Devaney

SIAM J. Appl. Math., 2007

2006

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

2005

Image Synthesis for Inverse Obstacle Scattering Using the Eigenfunction Expansion Theorem.

D. Russell Luke

Computing, 2005

A new generation of iterative transform algorithms for phase contrast tomography.

Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke

Proceedings of the 2005 IEEE International Conference on Acoustics, 2005

2004

Multifrequency inverse obstacle scattering: the point source method and generalized filtered backprojection.

D. Russell Luke

Math. Comput. Simul., 2004

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

2003

Variational Analysis Applied to the Problem of Optical Phase Retrieval.

James V. Burke, D. Russell Luke

SIAM J. Control. Optim., 2003

The No Response Test---A Sampling Method for Inverse Scattering Problems.

D. Russell Luke, Roland Potthast

SIAM J. Appl. Math., 2003

2002

Optical Wavefront Reconstruction: Theory and Numerical Methods.

D. Russell Luke, James V. Burke, Richard G. Lyon

SIAM Rev., 2002

On the structure of some phase retrieval algorithms.

Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke

Proceedings of the 2002 International Conference on Image Processing, 2002

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

Proceedings of the IEEE International Conference on Acoustics, 2002