Books

Experimental Mathematics in Action, with David Bailey, Jonathan Borwein, Neil Calkin, Roland Girgensohn, and Victor Moll. A. K. Peters (2007).

`` Duality and Convex Optimization '', J. M. Borwein and D. R. Luke, in Handbook of Imaging, Otmar Scherzer, ed. (to appear).

Journal Publications

`` MUSIC FOR EXTENDED SCATTERERS AS AN INSTANCE OF THE FACTORIZATION METHOD '', T. Arens, A. Lechleiter and D. R. Luke, SIAM J. Appl. Math.(to appear).

`` Local convergence for alternating and averaged nonconvex projections '', A. S. Lewis, D. R. Luke and J. Malick, Foundations of Computational Mathematics 9(4):485--513 (2009).

`` Robust Mixing for Ab-Initio Quantum Mechanical Calculations'' L.D. Marks and D. R. Luke, Phys. Rev. B 75:075114(2008).

`` Finding best approximation pairs relative to a convex and a prox-regular set in a Hilbert space '', SIAM J. Opt. 19(2): 714--739 (2008).

`` Identifying scattering obstacles by the construction of nonscattering waves'', with Tony Devaney. SIAM J. Appl. Math. 68:271--291(2007).

`` The Point Source Method for Inverse Scattering in the Time Domain'', with Roland Potthast. Mathematical Methods in the Applied Sciences 29(3): 1501--1521(2006).

`` A Strongly Convergent Reflection Method for Finding the Projection onto the Intersection of Two Closed Convex Sets in a Hilbert Space" with H. H. Bauschke and P. L. Combettes, Journal of Approximation Theory 141(1):63-69 (2006).

`` Dynamics of a Ramanujan-type Continued Fraction with Cyclic Coefficients" with Jonathan Borwein, The Ramanujan Journal16:285--304 (2008).

`` Dynamics of a Continued Fraction of Ramanujan with Random Coefficients" with Jonathan Borwein. Abstract and Applied Analysis 2005(5):449--467(2005).

"Relaxed Averaged Alternating Reflections for Diffraction Imaging", Inverse Problems 21:37-50(2005).

" Image synthesis for inverse obstacle scattering using the eigenfunction expansion theorem", Computing 75(2-3):181-196(2005).

"Finding Best Approximation Pairs Relative to Two Closed Convex Sets in Hilbert Spaces", with H. Bauschke and P. Combettes, Journal of Approximation Theory 127:178-192(2004).

"Multifrequency inverse obstacle scattering: the point source method and generalized filtered backprojection" Mathematics and Computers in Simulation 66:297-314(2004).

``Variational analysis applied to the problem of optical phase retrieval", J. V. Burke and D.R. Luke. SIAM J. Control Opt. 42(2):576-595 (2003).

"A Hybrid Projection Reflection Method for Phase Retrieval", H. H. Bauschke, P. L. Combettes, and D. R. Luke. J. Opt. Soc. Am. A , 20(6):1025-1034 (2003).

``The no response test - a sampling method for inverse scattering problems ", D. R. Luke and R. Potthast. SIAM J. App. Math. , 63(4):1292-1312 (2003).

``Phase retrieval, error reduction algorithm, and Fienup variants: A view from convex optimization'', H. H. Bauschke, P. L. Combettes, and D. R. Luke. J. Opt. Soc. Am. A, 19(7):1334-1345 (2002).

``Optical Wavefront Reconstruction: Theory and Numerical Methods'', D. R. Luke, J. V. Burke and R. G. Lyon. SIAM Review 44:169-224 (2002).

Refereed Conference Proceedings

``A New Generation of Iterative Transform Algorithms for Phase Contrast Tomography'', D. R. Luke, H. H. Bauschke and P. L. Combettes. Proceedings of the IEEE 2005 International Conference on Acoustics, Speech and Signal Processing, (Philadelphia, PA, 2005).

`` On the structure of Some Phase Retrieval Algorithms'', H. H. Bauschke, P. C. Combettes, and D. R. Luke. Proceedings of the IEEE International Conference on Image Processing, vol II, pp. 841-844 (Rochester, NY, September 22-25, 2002).

``The Point Source Method in Acoustic Scattering : numerical reconstruction of the scattered field from far field measurements of inhomogeneous media'', D. R. Luke and R. Potthast. Proceedings of the IEEE 2002 International Conference on Acoustics, Speech and Signal Processing, pp.IV-3541-IV-3544 (Orlando, FL, May 13-17, 2002).

``Fast Algorithms for Phase Retrieval and Deconvolution'', in Proceedings of the Workshop on Computational Optics and Imaging for Space Applications pp.130-150 (NASA/Goddard Space Flight Center, May 10-12, 2000).

Invited Articles

"A Simple Multiresolution Technique for Diffraction Image Recovery,'' in the Pacific Institute for the Mathematical Sciences Newsletter, 7(2):17-20 (2003).

``E Unibus Fissiparousness'' a review of David Foster Wallace's Everything and More: A Compact History of Infinity in SIAM Review Book Reviews, 47(1):178-182 (2005).

Thesis

Analysis of Optical Wavefront Reconstruction and Deconvolution in Adaptive Optics, Dissertation, Department of Applied Mathematics, University of Washington, June 2001.

Industry Consulting

``Entfaltung von Laserspektren'', D. R. Luke and R. Potthast. for Lambda Physik AG, September 2001.

``An Integration of Ellipsometry into Inverse Rough Surface Scattering'', Klaus Erhard, D. Russell Luke and Roland Potthast. for Nannofilm, GmBH, April 2002.