Publications

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  • Minh N Dao, Neil D Dizon, Jeffrey A Hogan, M. TAM. Constraint Reduction Reformulations for Projection Algorithms with Applications to Wavelet Construction. Journal of Optimization Theory and Applications, 1-33, 2021. doi: 10.1007/s10957-021-01878-z.

  • J Rieger, M. TAM. Backward-Forward-Reflected-Backward Splitting for Three Operator Monotone Inclusions. Applied Mathematics and Computation, 381, 125248, 2020. doi: 10.1016/j.amc.2020.125248.

  • Y Malitsky, M. TAM. A forward-backward splitting method for monotone inclusions without cocoercivity. SIAM Journal on Optimization, 30, 1451-1472, 2020. doi: 10.1137/18M1207260.

  • M. TAM. Gearhart–Koshy acceleration for affine subspaces. Operations Research Letters, 157-163, 2020. doi: 10.1016/j.orl.2020.12.007.

  • Minh N Dao, M. TAM. A Lyapunov-type approach to convergence of the Douglas–Rachford algorithm for a nonconvex setting. Journal of Global Optimization, 73, 83-112, 2019. doi: 10.1007/s10898-018-0677-3.

  • FJ Aragón Artacho, R Campoy, M. TAM. The Douglas–Rachford algorithm for convex and nonconvex feasibility problems. Mathematical Methods of Operations Research, 201-240, 2019. doi: 10.1007/s00186-019-00691-9.

  • ER Csetnek, Y Malitsky, M. TAM. Shadow Douglas–Rachford Splitting for Monotone Inclusions. Applied Mathematics and Optimization, 80, 665-678, 2019. doi: 10.1007/s00245-019-09597-8.

  • MN Dao, M. TAM. Union Averaged Operators with Applications to Proximal Algorithms for Min-Convex Functions. Journal of Optimization Theory and Applications, 181, 61-94, 2019. doi: 10.1007/s10957-018-1443-x.

  • D Franklin, JA Hogan, M. TAM. Higher-dimensional wavelets and the Douglas-Rachford algorithm. 2019 13th International conference on Sampling Theory and Applications (SampTA), 1-4, 2019. doi: 10.1109/SampTA45681.2019.9030823.

  • M. TAM. Algorithms based on unions of nonexpansive maps. Optimization Letters, 12, 1019-1027, 2018. doi: 10.1007/s11590-018-1249-7.

  • Florian Lauster, D Russell Luke, M. TAM. Symbolic Computation with Monotone Operators. Set-Valued and Variational Analysis, 26, 353-368, 2018. doi: 10.1007/s11228-017-0418-7.

  • D Russell Luke, Nguyen H Thao, M. TAM. Implicit Error Bounds for Picard Iterations on Hilbert Spaces. Vietnam Journal of Mathematics, 46, 243-258, 2018. doi: 10.1007/s10013-018-0279-x.

  • Francisco J Aragon Artacho, Ruben Campoy, Ilias Kotsireas, M. TAM, FJ Aragón Artacho. A feasibility approach for constructing combinatorial designs of circulant type. Journal of Combinatorial Optimization, 35, 1061-1085, 2018. doi: 10.1007/s10878-018-0250-5.

  • F Lauster, DR Luke, M. TAM. Symbolic computation with monotone operators. ACM Communications in Computer Algebra, 52, 139-141, 2018. doi: 10.1145/3338637.3338646.

  • DR Luke, NH Thao, M. TAM, D Russell Luke. Quantitative convergence analysis of iterated expansive, set-valued mappings. Mathematics of Operations Research, 43, 1143-1176, 2018. doi: 10.1287/moor.2017.0898.

  • Jonathan M Borwein, Guoyin Li, M. TAM. Convergence rate analysis for averaged fixed point iterations in common fixed point problems. SIAM Journal on Optimization, 27, 1-33, 2017. doi: 10.1137/15M1045223.

  • M. TAM. Regularity properties of non-negative sparsity sets. Journal of Mathematical Analysis and Applications, 447, 758-777, 2017. doi: 10.1016/j.jmaa.2016.10.040.

  • JM Borwein, M. TAM. Reflection methods for inverse problems with applications to protein conformation determination. 83-100, Springer Singapore, 2017. doi: 10.1007/978-981-10-4774-9_5.

  • M. TAM. Iterative projection and reflection methods: Theory and practice. Bulletin of the Australian Mathematical Society, 94, 175-176, 2016. doi: 10.1017/S0004972716000265.

  • Francisco J Aragon Artacho, Jonathan M Borwein, M. TAM, FJ Aragón Artacho. Global behavior of the Douglas–Rachford method for a nonconvex feasibility problem. Journal of Global Optimization, 65, 309-327, 2016. doi: 10.1007/s10898-015-0380-6.

  • JM Borwein, M. TAM. The cyclic Douglas-Rachford method for inconsistent feasibility problems. Journal of Nonlinear and Convex Analysis, 16, 537-584, 2015.

  • Jonathan M Borwein, M. TAM. THE CYCLIC DOUGLAS-RACHFORD METHOD FOR INCONSISTENT FEASIBILITY PROBLEMS. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 16, 573-584, 2015.

  • Robert Hesse, D Russell Luke, Shoham Sabach, M. TAM. Proximal heterogeneous block implicit-explicit method and application to blind ptychographic diffraction imaging. SIAM Journal on Imaging Sciences, 8, 426-457, 2015. doi: 10.1137/14098168X.

  • Jonathan M Borwein, Brailey Sims, M. TAM. Norm convergence of realistic projection and reflection methods. Optimization, 64, 161-178, 2015. doi: 10.1080/02331934.2014.947499.

  • Francisco J Aragon Artacho, Jonathan M Borwein, M. TAM, FRANCISCO J ARAGÓN ARTACHO. Douglas-rachford feasibility methods for matrix completion problems. The ANZIAM Journal, 55, 299-326, 2014. doi: 10.1017/S1446181114000145.

  • Francisco J Aragon Artacho, Jonathan M Borwein, M. TAM, FJ Aragón Artacho. Recent Results on Douglas–Rachford Methods for Combinatorial Optimization Problems. Journal of Optimization Theory and Applications, 163, 1-30, 2014. doi: 10.1007/s10957-013-0488-0.

  • Jonathan M Borwein, M. TAM. A Cyclic Douglas–Rachford Iteration Scheme. Journal of Optimization Theory and Applications, 160, 1-29, 2014. doi: 10.1007/s10957-013-0381-x.

  • Robert Hayes, Natalia Borisenko, M. TAM, Patrick C Howlett, Frank Endres, Rob Atkin. Double layer structure of ionic liquids at the Au(111) electrode interface: An atomic force microscopy investigation. The Journal of Physical Chemistry C, 115, 6855-6863, 2011. doi: 10.1021/jp200544b.