Prof. Dr. David Russell Luke

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  • 2024 | Preprint
    ​ ​Luke, D. Russell, Steffen Schultze, and Helmut Grubmüller​. "Stochastic Algorithms for Large-Scale Composite Optimization: the Case of Single-Shot X-FEL Imaging​." ​Preprint, submitted ​​2024. ​http://arxiv.org/abs/2401.13454v1. 
    ​Details 
  • 2023 | Conference Paper | 
    ​ ​Luke, D. Russell, and Matthew K. Tam. "The proximal point algorithm without monotonicity​." ​In Proceedings of the 35th RAMP Mathematical Optimization Symposium, edited by Tianxiang Liu, Makoto Yamashita. ​39​-48. ​Tokyo: ​Research Association of Mathematical Programming, ​2023. 
    ​Details 
  • 2023 | Monograph | Textbook, Manual | 
    ​ ​Luke, D. Russell. Variational Numerical Analysis​. ​​2023. 
    ​Details 
  • 2023 | Journal Article
    ​ ​Hermer, Neal, D. Russell Luke, and Anja Sturm. "Nonexpansive Markov Operators and Random Function Iterations for Stochastic Fixed Point Problems: ​Random Function Iterations for Stochastic Fixed Point Problems​." ​Journal of Convex Analysis ​30, no. 4 (2023): ​1073​-1114​. ​
    ​Details  WoS  arXiv 
  • 2023 | Preprint | 
    ​ ​Luke, Russell, and D. Russell Luke​. "Convergence in Distribution of Randomized Algorithms: The Case of Partially Separable Optimization​." ​Preprint, submitted ​​2023. 
    ​Details  arXiv 
  • 2023 | Journal Article | Research Paper
    ​ ​Cohen, Eyal, Titus Pinta, Shoham Sabach, Marc Teboulle, and D. Russell Luke. "A Semi-Bregman Proximal Alternating Method for a Class of Nonconvex Problems: Local and Global Convergence Analysis: ​Semi-Bregman Proximal Alternating Method​." ​Journal of Global Optimization (2023): . ​https://doi.org/10.1007/s10898-023-01334-4.
    ​Details  DOI 
  • 2023 | Journal Article | Research Paper | 
    ​ ​Hermer, Neal, D. Russell Luke, and Anja Sturm. "Rates of Convergence for Chains of Expansive Markov Operators: ​Expansive Markov Operators​." ​Transactions of Mathematics and its Applications ​7, no. 1 (2023): ​1​-31​. ​https://doi.org/10.1093/imatrm/tnad001.
    ​Details  DOI  arXiv 
  • 2022 | Software
    ​ ​Luke, David Russell, Samsara.  2022.
    ​Details 
  • 2022 | Journal Article | Research Paper | 
    ​ ​Bërdëllima, Arian, Florian Lauster, and D. Russell Luke. "α -Firmly nonexpansive operators on metric spaces​." ​Journal of Fixed Point Theory and Applications ​24, no. 1 (2022): ​14​. ​https://doi.org/10.1007/s11784-021-00919-4.
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​Schmitt, David, Jan Philipp Bange, Wiebke Bennecke, AbdulAziz AlMutairi, Giuseppe Meneghini, Kenji Watanabe, Takashi Taniguchi et al. "Formation of moiré interlayer excitons in space and time​." ​Nature ​608, no. 7923 (2022): ​499​-503​. ​https://doi.org/10.1038/s41586-022-04977-7.
    ​Details  DOI 
  • 2021 | Preprint
    ​ ​Bërdëllima, Arian, Florian Lauster, and D. Russell Luke​. "α-Firmly Nonexpansive Operators on Metric Spaces​." ​Preprint, submitted ​​2021. 
    ​Details  arXiv 
  • 2021 | Journal Article | Research Paper | 
    ​ ​Hieu Thao, Nguyen, Oleg Soloviev, Russell Luke, and Michel Verhaegen. "Projection methods for high numerical aperture phase retrieval​." ​Inverse Problems ​37, no. 12 (2021): ​125005​. ​https://doi.org/10.1088/1361-6420/ac3322.
    ​Details  DOI 
  • 2020 | Book Chapter
    ​ ​Maretzke, Simon, and Thorsten Hohage. "Constrained Reconstructions in X-ray Phase Contrast Imaging: Uniqueness, Stability and Algorithms​." ​In Nanoscale Photonic Imaging, edited by Tim Salditt, Alexander Egner, Russell Luke​, 377​-403​. ​​2020. https://doi.org/10.1007/978-3-030-34413-9_14.
    ​Details  DOI 
  • 2020 | Book Chapter
    ​ ​Luke, D. Russell. "Proximal Methods for Image Processing​." ​In Nanoscale Photonic Imaging, edited by Tim Salditt, Alexander Egner, D. Russell Luke​, 165​-202​. ​​2020. https://doi.org/10.1007/978-3-030-34413-9_6.
    ​Details  DOI 
  • 2020 | Anthology
    ​ ​Salditt, Tim, Alexander Egner, and D. Russell Luke​, eds. Nanoscale Photonic Imaging​. ​​Topics in Applied Physics;134. ​Cham: ​Springer, ​2020. https://doi.org/10.1007/978-3-030-34413-9.
    ​Details  DOI 
  • 2020 | Book Chapter
    ​ ​Luke, D. Russell, C. Charitha, Ron Shefi, and Yura Malitsky. "Efficient, Quantitative Numerical Methods for Statistical Image Deconvolution and Denoising​." ​In Nanoscale Photonic Imaging, edited by Tim Salditt, Alexander Egner, D. Russell Luke​, 313​-338​. ​​2020. https://doi.org/10.1007/978-3-030-34413-9_12.
    ​Details  DOI 
  • 2020 | Book Chapter
    ​ ​Luke, D. Russell, and Anna-Lena Martins. "Convergence Analysis of Iterative Algorithms for Phase Retrieval​." ​In Nanoscale Photonic Imaging, edited by Tim Salditt, Alexander Egner, D. Russell Luke​, 583​-601​. ​​2020. https://doi.org/10.1007/978-3-030-34413-9_23.
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Thao, Nguyen Hieu, D. Russell Luke, Oleg Soloviev, and Michel Verhaegen. "Phase Retrieval with Sparse Phase Constraint​." ​SIAM Journal on Mathematics of Data Science ​2, no. 1 (2020): ​246​-263​. ​https://doi.org/10.1137/19M1266800.
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Luke, D. Russell, Marc Teboulle, and Nguyen H. Thao. "Necessary conditions for linear convergence of iterated expansive, set-valued mappings​." ​Mathematical Programming ​180, no. 1-2 (2020): ​1​-31​. ​https://doi.org/10.1007/s10107-018-1343-8.
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Luke, D. Russell, and Anna-Lena Martins. "Convergence Analysis of the Relaxed Douglas-Rachford Algorithm​." ​SIAM Journal on Optimization ​30, no. 1 (2020): ​542​-584​. ​https://doi.org/10.1137/18M1229638.
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper | 
    ​ ​Mathias, Stefan, G. S. M. Jansen, M. Keunecke, M. Düvel, C. Möller, D. Schmitt, W. Bennecke et al. "Efficient orbital imaging based on ultrafast momentum microscopy and sparsity-driven phase retrieval​." ​New Journal of Physics ​22, no. 6 (2020): ​063012​. ​https://doi.org/10.1088/1367-2630/ab8aae.
    ​Details  DOI 
  • 2019 | Book Chapter
    ​ ​Hosseini, Seyedehsomayeh, D. Russell Luke, and André Uschmajew. "Tangent and Normal Cones for Low-Rank Matrices​." ​In Nonsmooth Optimization and Its Applications, edited by S. Hosseini, B. S. Mordukhovich, A. Uschmajew​, 45​-53​. ​Vol. 170 ​Birkhauser, ​2019. https://doi.org/10.1007/978-3-030-11370-4_3.
    ​Details  DOI 
  • 2019 | Anthology
    ​ ​Bauschke, Heinz H., Regina S. Burachik, and D. Russell Luke​, eds. Splitting Algorithms, Modern Operator Theory, and Applications​. ​​1. ed. ​Cham: ​Springer, ​2019. 
    ​Details 
  • 2019 | Journal Article
    ​ ​Hermer, Neal, D. Russell Luke, and Anja Sturm. "Random Function Iterations for Consistent Stochastic Feasibility​." ​Numerical Functional Analysis and Optimization ​40, no. 4 (2019): ​386​-420​. ​https://doi.org/10.1080/01630563.2018.1535507.
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Luke, D. Russell, Shoham Sabach, and Marc Teboulle. "Optimization on Spheres: Models and Proximal Algorithms with Computational Performance Comparisons​." ​SIAM Journal on Mathematics of Data Science ​1, no. 3 (2019): ​408​-445​. ​https://doi.org/10.1137/18M1193025.
    ​Details  DOI 
  • 2019 | Book Chapter
    ​ ​Daniilidis, Aris, D. Russell Luke, and Matthew Tam. "Characterizations of Super-regularity and its Variants​." ​In Splitting Algorithms, Modern Operator Theory and Applications, edited by Heinz Bauschke, D. Russell Luke, Regina Burachik​, 137​-152​. ​​Springer, ​2019. https://doi.org/10.1007/978-3-030-25939-6_6.
    ​Details  DOI 
  • 2018 | Conference Paper
    ​ ​Luke, D. R., A. Martins, and M. K. Tam. "Relaxed Cyclic Douglas-Rachford Algorithms for Nonconvex Optimization​." ​​2018. 
    ​Details 
  • 2018 | Book Chapter
    ​ ​Luke, D. Russell, and Yura Malitsky. "Block-Coordinate Primal-Dual Method for Nonsmooth Minimization over Linear Constraints​." ​In Distributed and Large-Scale Optimization, 121​-147​. ​Vol. 2227 ​2018. https://doi.org/10.1007/978-3-319-97478-1_6.
    ​Details  DOI  arXiv 
  • 2018 | Journal Article
    ​ ​Luke, D. Russell, Nguyen H. Thao, and Matthew K. Tam. "Implicit Error Bounds for Picard Iterations on Hilbert Spaces​." ​Vietnam Journal of Mathematics ​46, no. 2 (2018): ​243​-258​. ​https://doi.org/10.1007/s10013-018-0279-x.
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Luke, D. Russell, and Ron Shefi. "A globally linearly convergent method for pointwise quadratically supportable convex–concave saddle point problems​." ​Journal of Mathematical Analysis and Applications ​457, no. 2 (2018): ​1568​-1590​. ​https://doi.org/10.1016/j.jmaa.2017.02.068.
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Kruger, Alexander Y., D. Russell Luke, and Nguyen H. Thao. "Set regularities and feasibility problems​." ​Mathematical Programming ​168 (2018): ​279​-311​. ​https://doi.org/10.1007/s10107-016-1039-x.
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Lauster, Florian, D. Russell Luke, and Matthew K. Tam. "Symbolic Computation with Monotone Operators​." ​Set-Valued and Variational Analysis ​26, no. 2 (2018): ​353​-368​. ​https://doi.org/10.1007/s11228-017-0418-7.
    ​Details  DOI 
  • 2018 | Journal Article | 
    ​ ​Thao, Nguyen H., Matthew K. Tam, and Russell Luke. "Quantitative Convergence Analysis of Iterated Expansive, Set-Valued Mappings​." ​Mathematics of Operations Research ​43, no. 4 (2018): ​1143​-1176​. ​https://doi.org/10.1287/moor.2017.0898.
    ​Details  DOI  arXiv 
  • 2017 | Journal Article
    ​ ​Kruger, Alexander Y., D. Russell Luke, and Nguyen H. Thao. "About Subtransversality of Collections of Sets​." ​Set-Valued and Variational Analysis ​25, no. 4 (2017): ​701​-729​. ​https://doi.org/10.1007/s11228-017-0436-5.
    ​Details  DOI 
  • 2017 | Software
    ​ ​Luke, David Russell, and C. Hamilton, Symbolic Convex Analysis Toolkit (SCAT).  2017.
    ​Details 
  • 2017 | Journal Article
    ​ ​Luke, Russell. "Phase Retrieval, What's New?​." ​SIAG/OPT Views and News ​25 (2017): . ​
    ​Details 
  • 2017 | Journal Article
    ​ ​Charitha, C., Joydeep Dutta, and Russell Luke. "Lagrange multipliers, (exact) regularization and error bounds for monotone variational inequalities​." ​Mathematical Programming ​161, no. 1-2 (2017): ​519​-549​. ​https://doi.org/10.1007/s10107-016-1022-6.
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Luke, D. Russell, Shoham Sabach, Marc Teboulle, and Kobi Zatlawey. "A simple globally convergent algorithm for the nonsmooth nonconvex single source localization problem​." ​Journal of Global Optimization ​69, no. 4 (2017): ​889​-909​. ​https://doi.org/10.1007/s10898-017-0545-6.
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​Aspelmeier, Timo, C. Charitha, and Russell Luke. "Local Linear Convergence of the ADMM/Douglas - Rachford Algorithms without Strong Convexity and Application to Statistical Imaging​." ​SIAM Journal on Imaging Sciences ​9, no. 2 (2016): ​842​-868​. ​https://doi.org/10.1137/15m103580x.
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Hesse, Robert, Russell Luke, Shoham Sabach, and Matthew K. Tam. "Proximal Heterogeneous Block Implicit-Explicit Method and Application to Blind Ptychographic Diffraction Imaging​." ​SIAM Journal on Imaging Sciences ​8, no. 1 (2015): ​426​-457​. ​https://doi.org/10.1137/14098168x.
    ​Details  DOI 
  • 2015 | Book Chapter
    ​ ​Liang, Jingwei, Jalal Fadili, Gabriel Peyré, and Russell Luke. "Activity Identification and Local Linear Convergence of Douglas–Rachford/ADMM under Partial Smoothness​." ​In Scale Space and Variational Methods in Computer Vision, edited by J. F. Aujol, M. Nikolova, N. Papadakis​, 642​-653​. ​Vol. 9087 ​Cham: ​Springer, ​2015. https://doi.org/10.1007/978-3-319-18461-6_51.
    ​Details  DOI 
  • 2015 | Book Chapter
    ​ ​Borwein, Jonathan M., and Russell Luke. "Duality and Convex Programming​." ​In Handbook of Mathematical Methods in Imaging. 2. ed., edited by Otmar Scherzer​. ​​New York, NY: ​Springer, ​2015. https://doi.org/10.1007/978-1-4939-0790-8_7.
    ​Details  DOI 
  • 2014 | Journal Article | Research Paper | 
    ​ ​Hagemann, Johannes, Anna-Lena Robisch, D. R. Luke, C. Homann, Thorsten Hohage, Peter Cloetens, H. Suhonen, and Tim Salditt. "Reconstruction of wave front and object for inline holography from a set of detection planes​." ​Optics Express ​22, no. 10 (2014): ​11552​-11569​. ​https://doi.org/10.1364/OE.22.011552.
    ​Details  DOI  PMID  PMC  WoS 
  • 2014 | Review
    ​ ​Luke, Russell. "`Calculus Without Derivatives' a review of Jean-Paul Penot's book​." . ​
    ​Details 
  • 2014 | Journal Article
    ​ ​Hesse, Robert, Russell Luke, and Patrick Neumann. "Alternating Projections and Douglas-Rachford for Sparse Affine Feasibility​." ​IEEE Transactions on Signal Processing ​62, no. 18 (2014): ​4868​-4881​. ​https://doi.org/10.1109/tsp.2014.2339801.
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Bauschke, Heinz H., D. Russell Luke, Hung M. Phan, and Xianfu Wang. "Restricted Normal Cones and Sparsity Optimization with Affine Constraints​." ​Foundations of Computational Mathematics ​14, no. 1 (2014): ​63​-83​. ​https://doi.org/10.1007/s10208-013-9161-0.
    ​Details  DOI 
  • 2013 | Other Publication Type | Statement, Consultancy
    ​ ​Luke, Russell. Optimal switching of hybrid motors.  2013-02.
    ​Details 
  • 2013 | Journal Article
    ​ ​Bauschke, Heinz H., Russell Luke, Hung M. Phan, and Xianfu Wang. "Restricted Normal Cones and the Method of Alternating Projections: Applications​." ​Set-Valued and Variational Analysis ​21, no. 3 (2013): ​475​-501​. ​https://doi.org/10.1007/s11228-013-0238-3.
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Hesse, Robert, and Russell Luke. "Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems​." ​SIAM Journal on Optimization ​23, no. 4 (2013): ​2397​-2419​. ​https://doi.org/10.1137/120902653.
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Bauschke, Heinz H., Russell Luke, Hung M. Phan, and Xianfu Wang. "Restricted Normal Cones and the Method of Alternating Projections: Theory​." ​Set-Valued and Variational Analysis ​21, no. 3 (2013): ​431​-473​. ​https://doi.org/10.1007/s11228-013-0239-2.
    ​Details  DOI 
  • 2013 | Conference Paper
    ​ ​Hesse, Robert, Russell Luke, and Patrick Neumann. "PROJECTION METHODS FOR SPARSE AFFINE FEASIBILITY: RESULTS AND COUNTEREXAMPLES​." ​Paper presented at the SPARS 2013: Signal Processing with Adaptive Sparse Structured Representations, ​Lausanne, Switzerland, ​2013. 
    ​Details 
  • 2013 | Journal Article | 
    ​ ​Luke, Russell. "Prox-Regularity of Rank Constraint Sets and Implications for Algorithms​." ​Journal of Mathematical Imaging and Vision ​47, no. 3 (2013): ​231​-238​. ​https://doi.org/10.1007/s10851-012-0406-3.
    ​Details  DOI 
  • 2012 | Preprint
    ​ ​Luke, Russell​. "A toolbox of algorithms and projection operators for implementing fixed point iterations based on the Prox operator​." ​Preprint, submitted ​​2012. 
    ​Details 
  • 2012 | Software
    ​ ​Luke, David Russell, ProxToolbox.  2012.
    ​Details 
  • 2011 | Book Chapter
    ​ ​Borwein, Jonathan M., and Russell Luke. "Duality and Convex Programming​." ​In Handbook of Mathematical Methods in Imaging, edited by Otmar Scherzer​, 229​-270​. ​​New York, NY: ​Springer, ​2011. https://doi.org/10.1007/978-0-387-92920-0_7.
    ​Details  DOI 
  • 2011 | Conference Paper
    ​ ​Luke, Russell, and Roland Potthast. "The point source method in acoustic scattering: Numerical reconstruction of the scattered field from far field measurements of inhomogeneous media​." ​In IEEE International Conference on Acoustics Speech and Signal Processing, ​IEEE, ​2011. https://doi.org/10.1109/icassp.2002.5745419.
    ​Details  DOI 
  • 2011 | Anthology
    ​ ​Bauschke, Heinz H., Regina S. Burachik, Patrick L. Combettes, Veit Elser, Russell Luke, and Henry Wolkowicz​, eds. Fixed-Point Algorithms for Inverse Problems in Science and Engineering​. ​​New York, NY: ​Springer, ​2011. https://doi.org/10.1007/978-1-4419-9569-8.
    ​Details  DOI 
  • 2011 | Book Chapter
    ​ ​Borwein, Jonathan M., and D. Russell Luke. "Entropic Regularization of the ℓ 0 Function​." ​In Fixed-Point Algorithms for Inverse Problems in Science and Engineering, edited by Heinz H. Bauschke, Regina S. Burachik, Patrick L. Combettes, Veit Elser, D. Russell Luke, Henry Wolkowicz​, 65​-92​. ​​New York: ​Springer, ​2011. https://doi.org/10.1007/978-1-4419-9569-8_5.
    ​Details  DOI 
  • 2011 | Journal Article
    ​ ​Luke, Russell. "Local linear convergence of approximate projections onto regularized sets​." ​Nonlinear Analysis: Theory, Methods & Applications ​75, no. 3 (2011): ​1531​-1546​. ​https://doi.org/10.1016/j.na.2011.08.027.
    ​Details  DOI 
  • 2009 | Review
    ​ ​Luke, Russell. "``The Factorization Method for Inverse Problems' a review of Andreas Kirsch and Natalia Grinberg's book​." ​51​, no. 2​​446​-449​. ​
    ​Details 
  • 2009 | Journal Article | 
    ​ ​Luke, D. Russell. "The Factorization Method for Inverse Problems. By Andreas Kirsch and Natalia Grinberg.​." ​SIAM Review ​51, no. 2 (2009): ​446​-449​. ​
    ​Details 
  • 2009 | Journal Article | 
    ​ ​Arens, Tilo, Armin Lechleiter, and Russell Luke. "MUSIC for Extended Scatterers as an Instance of the Factorization Method​." ​SIAM Journal on Applied Mathematics ​70, no. 4 (2009): ​1283​-1304​. ​https://doi.org/10.1137/080737836.
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Luke, D. Russell. "Finding Best Approximation Pairs Relative to a Convex and Prox-Regular Set in a Hilbert Space​." ​SIAM Journal on Optimization ​19, no. 2 (2008): ​714​-739​. ​https://doi.org/10.1137/070681399.
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Lewis, A. S., Russell Luke, and J. Malick. "Local Linear Convergence for Alternating and Averaged Nonconvex Projections​." ​Foundations of Computational Mathematics ​9, no. 4 (2008): ​485​-513​. ​https://doi.org/10.1007/s10208-008-9036-y.
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Borwein, Jonathan M., and Russell Luke. "Dynamics of a Ramanujan-type continued fraction with cyclic coefficients​." ​The Ramanujan Journal ​16, no. 3 (2008): ​285​-304​. ​https://doi.org/10.1007/s11139-007-9096-7.
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Marks, Laurence Daniel, and Russell Luke. "Robust mixing forab initioquantum mechanical calculations​." ​Physical Review B ​78, no. 7 (2008): ​075114​. ​https://doi.org/10.1103/physrevb.78.075114.
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Luke, Russell. "Relaxed averaged alternating reflections for diffraction imaging​." ​Acta Crystallographica Section A Foundations of Crystallography ​64, no. a1 (2008): ​C109​-C109​. ​https://doi.org/10.1107/S0108767308096529.
    ​Details  DOI 
  • 2007 | Monograph
    ​ ​Bailey, David, Jonathan M. Borwein, Neil Calkin, Roland Girgensohn, Victor Moll, and Russell Luke. Experimental Mathematics in Action​. ​​A K Peters/CRC Press, ​2007. 
    ​Details 
  • 2007 | Journal Article
    ​ ​Bauschke, Heinz H., Patrick L. Combettes, and Russell Luke. "Hybrid projection–reflection method for phase retrieval​." ​Journal of the Optical Society of America A ​20, no. 6 (2007): ​1025​. ​https://doi.org/10.1364/josaa.20.001025.
    ​Details  DOI 
  • 2007 | Journal Article
    ​ ​Luke, Russell, and Anthony J. Devaney. "Identifying Scattering Obstacles by the Construction of Nonscattering Waves​." ​SIAM Journal on Applied Mathematics ​68, no. 1 (2007): ​271​-291​. ​https://doi.org/10.1137/060674430.
    ​Details  DOI 
  • 2006 | Conference Paper
    ​ ​Luke, D. R., Heinz H. Bauschke, and P. L. Combettes. "A New Generation of Iterative Transform Algorithms for Phase Contrast Tomography​." ​In Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005., ​IEEE, ​2006. https://doi.org/10.1109/icassp.2005.1415952.
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​Luke, Russell, and Roland Potthast. "The point source method for inverse scattering in the time domain​." ​Mathematical Methods in the Applied Sciences ​29, no. 13 (2006): ​1501​-1521​. ​https://doi.org/10.1002/mma.738.
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​Bauschke, Heinz H., Patrick L. Combettes, and Russell Luke. "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 ​141, no. 1 (2006): ​63​-69​. ​https://doi.org/10.1016/j.jat.2006.01.003.
    ​Details  DOI 
  • 2005 | Review
    ​ ​Luke, Russell. ""E Unibus Fissiparousness' a review of David Foster Wallace's Everything and More: A Compact History of Infinity​." ​47​, no. 1​​178​-182​. ​
    ​Details 
  • 2005 | Journal Article
    ​ ​Borwein, Jonathan M., and Russell Luke. "Dynamics of a continued fraction of Ramanujan with random coefficients​." ​Abstract and Applied Analysis ​2005, no. 5 (2005): ​449​-467​. ​https://doi.org/10.1155/aaa.2005.449.
    ​Details  DOI 
  • 2005 | Journal Article
    ​ ​Luke, Russell. "Image Synthesis for Inverse Obstacle Scattering Using the Eigenfunction Expansion Theorem​." ​Computing ​75, no. 2-3 (2005): ​181​-196​. ​https://doi.org/10.1007/s00607-004-0096-9.
    ​Details  DOI 
  • 2004 | Journal Article
    ​ ​Luke, Russell. "Relaxed averaged alternating reflections for diffraction imaging​." ​Inverse Problems ​21, no. 1 (2004): ​37​-50​. ​https://doi.org/10.1088/0266-5611/21/1/004.
    ​Details  DOI 
  • 2004 | Journal Article
    ​ ​Bauschke, Heinz H., Patrick L. Combettes, and Russell Luke. "Finding best approximation pairs relative to two closed convex sets in Hilbert spaces​." ​Journal of Approximation Theory ​127, no. 2 (2004): ​178​-192​. ​https://doi.org/10.1016/j.jat.2004.02.006.
    ​Details  DOI 
  • 2004 | Journal Article
    ​ ​Luke, Russell. "Multifrequency inverse obstacle scattering: the point source method and generalized filtered backprojection​." ​Mathematics and Computers in Simulation ​66, no. 4-5 (2004): ​297​-314​. ​https://doi.org/10.1016/j.matcom.2004.02.009.
    ​Details  DOI 
  • 2003 | Journal Article
    ​ ​Luke, Russell. "A Simple Multiresolution Technique for Diffraction Image Recovery​." ​Newsletter (Pacific Institute for the Mathematical Sciences) ​7, no. 2 (2003): ​17​-20​. ​
    ​Details 
  • 2003 | Journal Article
    ​ ​Burke, James V., and Russell Luke. "Variational Analysis Applied to the Problem of Optical Phase Retrieval​." ​SIAM Journal on Control and Optimization ​42, no. 2 (2003): ​576​-595​. ​https://doi.org/10.1137/s0363012902406436.
    ​Details  DOI 
  • 2003 | Journal Article
    ​ ​Luke, D. Russell, and Roland Potthast. "The no response test - A sampling method for inverse scattering problems​." ​SIAM Journal on Applied Mathematics ​63, no. 4 (2003): ​PII S0036139902406887​. ​https://doi.org/10.1137/S0036139902406887.
    ​Details  DOI  WoS 
  • 2002 | Conference Paper
    ​ ​Bauschke, Heinz H., Patrick L. Combettes, and Russell Luke. "On the structure of some phase retrieval algorithms​." ​In Proceedings. 2002 International Conference on Image Processing, ​841​-844. Vol. 3. ​IEEE, ​2002. https://doi.org/10.1109/icip.2002.1040082.
    ​Details  DOI 
  • 2002 | Journal Article
    ​ ​Bauschke, Heinz H., Patrick L. Combettes, and D. Russell Luke. "Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization​." ​Journal of the Optical Society of America A ​19, no. 7 (2002): ​1334​. ​https://doi.org/10.1364/josaa.19.001334.
    ​Details  DOI 
  • 2002 | Journal Article
    ​ ​Luke, D. Russell, James V. Burke, and Richard G. Lyon. "Optical wavefront reconstruction: Theory and numerical methods​." ​SIAM Review ​44, no. 2 (2002): ​PII S0036144501390754​. ​https://doi.org/10.1137/S003614450139075.
    ​Details  DOI  WoS 
  • 2001 | Other Publication Type | Statement, Consultancy
    ​ ​Luke, D. R., and R. Potthast. Entfaltung von Laserspektren.  2001-09.
    ​Details 
  • 2001 | Thesis | Doctoral Thesis
    ​ ​Luke, Russell. "Analysis of Optical Wavefront Reconstruction and Deconvolution in Adaptive Optics​." PhD diss., ​​University of Washington, ​2001. 
    ​Details 
  • 2000 | Conference Paper
    ​ ​Luke, Russell. "Fast Algorithms for Phase Retrieval and Deconvolution​." ​In '', in Proceedings of the Workshop on Computational Optics and Imaging for Space Applications, ​130​-150. ​2000. 
    ​Details 

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