Publications

For a recent list of preprints from arxiv.org click here

Accepted or Published papers:

1. 1. H.H. Bauschke, T. Bendit, and W.M. Moursi, How averaged is the composition of two linear projections? Accepted. To appear in Numerical Functional Analysis and Applications. (link to arXiv)

   2. L. Liu, W.M. Moursi, and J. Vanderwerff, Strongly nonexpansive mappings revisited: Uniform monotonicity and operator splitting. Accepted. To appear in SIAM Journal on Optimization.(link to arXiv)

   3. H.H. Bauschke and W.M. Moursi, On the Douglas-Rachford algorithm for solving possibly inconsistent optimization problems. Mathematics of Operations Research.  https://doi.org/10.1287/moor.2022.1347(link to arXiv)

   4. P. Giselsson and W.M. Moursi, On compositions of special cases of Lipschitz continuous operators. Fixed Point Theory and Algorithms for Sciences and Engineering, article number 25, 2021. (link to arXiv)

   5. H.H. Bauschke, W.M. Moursi, and X. Wang, Generalized monotone operators and their averaged resolvents. Mathematical Programming (Series B), vol. 189, pp. 55–74, 2021.(link to arXiv)

   6. H.H. Bauschke, S. Gretchko, W.M. Moursi, and M. Saurette, Edelstein's astonishing affine isometry. The American Mathematical Monthly, vol. 128, pp. 796–809, 2021. (link to arXiv)

   7. H.H. Bauschke and W.M. Moursi, On the behaviour of the Douglas–Rachford algorithm for minimizing a convex function subject to a linear constraint. SIAM Journal on Optimization, vol. 30, pp. 2559–2576, 2020. (link to arXiv)

   8. H.H. Bauschke and W.M. Moursi, On the minimal displacement vector of compositions and convex combinations of nonexpansive mappings. Foundations of Computational Mathematics, vol. 20, pp. 1653–1666, 2020.(link to arXiv)

   9. H.H. Bauschke, W.M. Moursi, and X. Wang, Maximally monotone operators with ranges whose closures are not convex and an answer to a recent question by Stephen Simons. Proceedings of the American Mathematical Society, vol. 148, pp. 2035–2044, 2020. (link to arXiv)

   10. A. Agrawal, S. Barratt, S. Boyd, E. Busseti, and W.M. Moursi, Differentiating through a cone program. Journal of Applied and Numerical Optimization, vol. 1, pp. 107–115, 2019. (link to arXiv)

   11. E. Busseti, W.M. Moursi, and S. Boyd, Solution refinement at regular points of conic problems. Computational Optimization and Applications, vol. 74, pp. 627–643, 2019.(link to arXiv)

   12. W.M. Moursi and L. Vandenberghe, Douglas–Rachford splitting for the sum of a Lipschitz continuous and a strongly monotone operator. Journal of Optimization Theory and Applications, vol. 183, pp. 179–198, 2019.  (link to arXiv)

   13. W.M. Moursi, The forward–backward algorithm and the normal problem, to appear in Journal of Optimization Theory and Applications, vol. 176, pp. 605– 624, 2019. (link to arXiv)

   14. S. Alwadani, H.H. Bauschke, W.M. Moursi, and X. Wang, On the asymptotic behaviour of the Aragón Artacho–Campoy algorithm. Operations Research Letters, vol. 46, pp. 585–587, 2018. (link to arXiv)

   15. H.H. Bauschke and W.M. Moursi, The magnitude of the minimal displacement vector for compositions and convex combinations of firmly nonexpansive mappings. Optimization Letters, vol. 12, pp. 1465–1474, 2018.  (link to arXiv)

   16.  H.H. Bauschke, L. Miller, and W.M. Moursi, Intriguing maximally monotone operators derived from nonsunny nonexpansive retractions. Journal on Nonlinear and Variational Analysis, vol. 2, pp. 123–130, 2018. (link to arXiv)

   17. H.H. Bauschke, B. Lukens and W.M. Moursi, Affine nonexpansive operators, Attouch–Théra duality and the Douglas-Rachford algorithm, Set-Valued and Variational Analysis, vol. 25, pp. 481–505, 2017. (link to arXiv)

   18. H.H. Bauschke and W.M. Moursi, On the Douglas-Rachford algorithm, Mathematical Programming: Series A (2016). vol. 144, pp. 263– 284, 2017(link to arXiv)

   19. H.H. Bauschke, M.N. Dao, and W.M. Moursi, The Douglas–Rachford algorithm in the affine-convex case, Operations Research Letters, vol. 44, pp. 379–382, 2015. (link to arXiv)

   20. H.H. Bauschke and W.M. Moursi, The Douglas–Rachford algorithm for two (not necessarily intersecting) affine subspaces, SIAM Journal on Optimization, vol. 26, pp. 968–985, 2016.  (link to arXiv)

   21. S.M. Moffat, W.M. Moursi, and S. Wang, Nearly convex sets: fine properties and domains or ranges of subdifferentials of convex functions, Mathematical Programming: Series A, vol. 126, pp. 193–223,2016. (link to arXiv)

   22. H.H. Bauschke, W.L. Hare, and W.M. Moursi, On the range of the Douglas–Rachford operator, Mathematics of Operations Research, vol. 41, pp. 884–897, 2016. (link to arXiv)

   23. H.H. Bauschke, G.R. Douglas, and W.M. Moursi, On a result of Pazy concerning the asymptotic behaviour of nonexpansive mappings, Journal of Fixed Point Theory and Applications, vol. 18, pp.297–307, 2016. (link to arXiv)

   24. H.H. Bauschke, M.N. Dao, and W.M. Moursi, On Fejér monotone sequences and nonexpansive mappings, Linear and Nonlinear Analysis, vol. 1, pp. 261–270, 2016. (link to arXiv)

   25. H.H. Bauschke and W.M. Moursi, On the order of the operators in the Douglas–Rachford algorithm, Optimization Letters, vol. 10, pp. 447–455, 2016. (link to arXiv)

   26. H.H. Bauschke, W.L. Hare, and W.M. Moursi, A Derivative-Free CoMirror Algorithm, OptimizationMethods and Software, vol. 30, pp. 706–726, 2016. (link to arXiv)

   27. H.H. Bauschke, W.L. Hare, and W.M. Moursi, Generalized solutions for the sum of two maximally monotone operators, SIAM Journal on Control and Optimization, vol. 52, pp. 1034–1047, 2014. (link to arXiv)

   28. H.H. Bauschke, R.I. Bot, W.L. Hare, and W.M. Moursi, Attouch-Théra duality revisited: Para-monotonicity and operator splitting, Journal of Approximation Theory, vol. 164, pp. 1065–1084,2012. (link to arXiv)

   29. A.S. Hegazi, W. Moursi, and M. Mansour, Differential calculus on Hopf Group Coalgebra, Note di Matematica, vol. 29, pp. 1–40, 2009.  (link to arXiv)

Conference proceedings:

1. W.M. Moursi and Y. Zinchenko, A note on the equivalence of operator splitting methods, in Splitting Algorithms, Monotone Operator Theory, and Applications, pp. 331–349, Springer, 2019. (link to arXiv)

2. H.H. Bauschke, S. Gretchko, and W.M. Moursi, Numerical explorations of feasibility algorithms for finding points in the intersection of finite sets, in Splitting Algorithms, Monotone Operator Theory, and Applications, pp. 69–90, Springer, 2019. (link to arXiv)