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ORCIDD. Russell Luke
Person information
- affiliation: University of Göttingen, Institute for Numerical and Applied Mathematics
- affiliation: University of Delaware, Department of Mathematical Sciences
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2020 – today
- 2024
[j27]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): 33-55 (2024)- 2020
- [j26]D. Russell Luke, Marc Teboulle, Nguyen H. Thao:
Necessary conditions for linear convergence of iterated expansive, set-valued mappings. Math. Program. 180(1): 1-31 (2020) - [j25]D. Russell Luke, Anna-Lena Martins:
Convergence Analysis of the Relaxed Douglas-Rachford Algorithm. SIAM J. Optim. 30(1): 542-584 (2020) - [j24]Nguyen Hieu Thao, David Russell Luke, Oleg Soloviev, Michel Verhaegen:
Phase Retrieval with Sparse Phase Constraint. SIAM J. Math. Data Sci. 2(1): 246-263 (2020)
2010 – 2019
- 2019
- [j23]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): 408-445 (2019) - 2018
- [j22]Florian Lauster, D. Russell Luke, Matthew K. Tam:
Symbolic computation with monotone operators. ACM Commun. Comput. Algebra 52(4): 139-141 (2018) - [j21]D. Russell Luke, Nguyen Hieu Thao, Matthew K. Tam:
Quantitative Convergence Analysis of Iterated Expansive, Set-Valued Mappings. Math. Oper. Res. 43(4): 1143-1176 (2018) - [j20]Alexander Y. Kruger, D. Russell Luke, Nguyen Hieu Thao:
Set regularities and feasibility problems. Math. Program. 168(1-2): 279-311 (2018) - 2017
- [j19]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): 889-909 (2017) - [j18]C. Charitha, Joydeep Dutta, D. Russell Luke:
Lagrange multipliers, (exact) regularization and error bounds for monotone variational inequalities. Math. Program. 161(1-2): 519-549 (2017) - 2016
- [j17]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): 842-868 (2016) - 2015
- [j16]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): 426-457 (2015) - [c4]Jingwei Liang, Jalal Fadili, Gabriel Peyré, D. Russell Luke:
Activity Identification and Local Linear Convergence of Douglas-Rachford/ADMM under Partial Smoothness. SSVM 2015: 642-653 - [r1]Jonathan M. Borwein, D. Russell Luke:
Duality and Convex Programming. Handbook of Mathematical Methods in Imaging 2015: 257-304 - 2014
- [j15]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): 63-83 (2014) - [j14]Robert Hesse, D. Russell Luke, Patrick Neumann:
Alternating Projections and Douglas-Rachford for Sparse Affine Feasibility. IEEE Trans. Signal Process. 62(18): 4868-4881 (2014) - 2013
- [j13]D. Russell Luke:
Prox-Regularity of Rank Constraint Sets and Implications for Algorithms. J. Math. Imaging Vis. 47(3): 231-238 (2013) - [j12]Robert Hesse, D. Russell Luke:
Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems. SIAM J. Optim. 23(4): 2397-2419 (2013) - 2011
- [p1]Jonathan M. Borwein, D. Russell Luke:
Entropic Regularization of the ℓ 0 Function. Fixed-Point Algorithms for Inverse Problems in Science and Engineering 2011: 65-92 - [e1]Heinz H. Bauschke, Regina Sandra Burachik, Patrick L. Combettes, Veit Elser, D. Russell Luke, Henry Wolkowicz:
Fixed-Point Algorithms for Inverse Problems in Science and Engineering. Springer Optimization and Its Applications 49, Springer 2011, ISBN 978-1-4419-9568-1 [contents]
2000 – 2009
- 2009
- [j11]Adrian S. Lewis, D. Russell Luke, Jérôme Malick:
Local Linear Convergence for Alternating and Averaged Nonconvex Projections. Found. Comput. Math. 9(4): 485-513 (2009) - [j10]Tilo Arens, Armin Lechleiter, D. Russell Luke:
MUSIC for Extended Scatterers as an Instance of the Factorization Method. SIAM J. Appl. Math. 70(4): 1283-1304 (2009) - 2008
- [j9]D. Russell Luke:
Finding Best Approximation Pairs Relative to a Convex and Prox-Regular Set in a Hilbert Space. SIAM J. Optim. 19(2): 714-739 (2008) - 2007
- [j8]D. Russell Luke, Anthony J. Devaney:
Identifying Scattering Obstacles by the Construction of Nonscattering Waves. SIAM J. Appl. Math. 68(1): 271-291 (2007) - 2006
- [j7]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): 63-69 (2006) - 2005
- [j6]D. Russell Luke:
Image Synthesis for Inverse Obstacle Scattering Using the Eigenfunction Expansion Theorem. Computing 75(2-3): 181-196 (2005) - [c3]Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke:
A new generation of iterative transform algorithms for phase contrast tomography. ICASSP (4) 2005: 89-92 - 2004
- [j5]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): 178-192 (2004) - [j4]D. Russell Luke:
Multifrequency inverse obstacle scattering: the point source method and generalized filtered backprojection. Math. Comput. Simul. 66(4-5): 297-314 (2004) - 2003
- [j3]D. Russell Luke, Roland Potthast:
The No Response Test---A Sampling Method for Inverse Scattering Problems. SIAM J. Appl. Math. 63(4): 1292-1312 (2003) - [j2]James V. Burke, D. Russell Luke:
Variational Analysis Applied to the Problem of Optical Phase Retrieval. SIAM J. Control. Optim. 42(2): 576-595 (2003) - 2002
- [j1]D. Russell Luke, James V. Burke, Richard G. Lyon:
Optical Wavefront Reconstruction: Theory and Numerical Methods. SIAM Rev. 44(2): 169-224 (2002) - [c2]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: 3541-3544 - [c1]Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke:
On the structure of some phase retrieval algorithms. ICIP (2) 2002: 841-844
Coauthor Index
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