D. Russell Luke

According to our database1, D. Russell Luke authored at least 26 papers between 2002 and 2018.

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Bibliography

2018
Set regularities and feasibility problems.
Math. Program., 2018

Quantitative Convergence Analysis of Iterated Expansive, Set-Valued Mappings.
Math. Oper. Res., 2018

Symbolic computation with monotone operators.
ACM Comm. Computer Algebra, 2018

2017
Lagrange multipliers, (exact) regularization and error bounds for monotone variational inequalities.
Math. Program., 2017

A simple globally convergent algorithm for the nonsmooth nonconvex single source localization problem.
J. Global Optimization, 2017

2016
Local Linear Convergence of the ADMM/Douglas-Rachford Algorithms without Strong Convexity and Application to Statistical Imaging.
SIAM J. Imaging Sciences, 2016

2015
Duality and Convex Programming.
Proceedings of the Handbook of Mathematical Methods in Imaging, 2015

Proximal Heterogeneous Block Implicit-Explicit Method and Application to Blind Ptychographic Diffraction Imaging.
SIAM J. Imaging Sciences, 2015

2014
Alternating Projections and Douglas-Rachford for Sparse Affine Feasibility.
IEEE Trans. Signal Processing, 2014

Restricted Normal Cones and Sparsity Optimization with Affine Constraints.
Foundations of Computational Mathematics, 2014

2013
Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems.
SIAM Journal on Optimization, 2013

Prox-Regularity of Rank Constraint Sets and Implications for Algorithms.
Journal of Mathematical Imaging and Vision, 2013

2011
Entropic Regularization of the ℓ 0 Function.
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.
SIAM Journal of Applied Mathematics, 2009

2008
Finding Best Approximation Pairs Relative to a Convex and Prox-Regular Set in a Hilbert Space.
SIAM Journal on Optimization, 2008

2007
Identifying Scattering Obstacles by the Construction of Nonscattering Waves.
SIAM Journal of Applied Mathematics, 2007

2006
A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space.
Journal of Approximation Theory, 2006

2005
Image Synthesis for Inverse Obstacle Scattering Using the Eigenfunction Expansion Theorem.
Computing, 2005

A new generation of iterative transform algorithms for phase contrast tomography.
Proceedings of the 2005 IEEE International Conference on Acoustics, 2005

2004
Multifrequency inverse obstacle scattering: the point source method and generalized filtered backprojection.
Mathematics and Computers in Simulation, 2004

Finding best approximation pairs relative to two closed convex sets in Hilbert spaces.
Journal of Approximation Theory, 2004

2003
Variational Analysis Applied to the Problem of Optical Phase Retrieval.
SIAM J. Control and Optimization, 2003

The No Response Test---A Sampling Method for Inverse Scattering Problems.
SIAM Journal of Applied Mathematics, 2003

2002
Optical Wavefront Reconstruction: Theory and Numerical Methods.
SIAM Review, 2002

On the structure of some phase retrieval algorithms.
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.
Proceedings of the IEEE International Conference on Acoustics, 2002


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