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Hung Phan


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Dr. Hung M PhanAssistant Professor

Research Interests

Mathematical Optimization, Operations Research, Variational Analysis, Mathematical Programming

Education

  • Ph D: Mathematics, (2011), Wayne State University

Selected Publications

  • Phan, H. (2016) Applying geometric constraints in three dimensions
  • Phan, H. (2016) "Linear convergence of the Douglas–Rachford method for two closed sets", Optimization 65:2 pp. 369–385
  • Bauschke, H.H., Dao, M.N., Noll, D., Phan, H. (2016) "On Slater’s condition and finite convergence of the Douglas–Rachford algorithm for solving convex feasibility problems in Euclidean spaces", Journal of Global Optimization 65:2 pp. 329–349
  • Bauschke, H.H., Lucet, Y., Phan, H. (2016) "On the convexity of piecewise-defined functions", ESAIM: Control, Optimisation and Calculus of Variations 22:3 pp. 728–742
  • Bausche, H., Bello Cruz, J., Nghia, T., Phan, H., Wang, X. (2016) Optimal rates of convergence of matrices with applications 73: pp. 33-76
  • Bausche, H., Koch, V., Phan, H. (2016) Stadium norm and Douglas-Rachford splitting: a new approach to road design optimization 64: pp. 201-218
  • Phan, H. (2016) "Road design problems: mathematical modeling and algorithms", Lehigh University
  • Bauschke, H.H., Noll, D., Phan, H. (2015) "Linear and strong convergence of algorithms involving averaged nonexpansive operators", Journal of Mathematical Analysis and Applications 421:1 pp. 1–20
  • Bauschke, H.H., Dao, M.N., Noll, D., Phan, H. (2015) "On Slater’s condition and finite convergence of the Douglas-Rachford algorithm", arXiv preprint arXiv:1504.06969
  • Bauschke, H.H., Dao, M.N., Noll, D., Phan, H. (2015) "Proximal point algorithm, Douglas-Rachford algorithm and alternating projections: a case study", arXiv preprint arXiv:1501.06603
  • Cruz, J., Millán, R.D., Phan, H. (2014) "Conditional extragradient algorithms for variational inequalities", arXiv preprint arXiv:1411.4338
  • Bauschke, H.H., Lucet, Y., Phan, H. (2014) "On the convexity of piecewise-defined functions", arXiv preprint arXiv:1408.3771
  • Bauschke, H.H., Cruz, J., Nghia, T.T., Phan, H., Wang, X. (2014) "Optimal rates of convergence of matrices with applications", arXiv preprint arXiv:1407.0671
  • Bauschke, H.H., Luke, D.R., Phan, H., Wang, X. (2014) "Restricted normal cones and sparsity optimization with affine constraints", Foundations of Computational Mathematics 14:1 pp. 63–83
  • Bauschke, H.H., Luke, D.R., Phan, H., Wang, X. (2013) "Restricted normal cones and the method of alternating projections: applications", Set-Valued and Variational Analysis 21:3 pp. 475–501
  • Bauschke, H.H., Luke, D.R., Phan, H., Wang, X. (2013) "Restricted normal cones and the method of alternating projections: theory", Set-Valued and Variational Analysis 21:3 pp. 431–473
  • Bauschke, H.H., Phan, H., Wang, X. (2013) "The Method of Alternating Relaxed Projections for two nonconvex sets", arXiv preprint arXiv:1305.4296
  • Bauschke, H.H., Cruz, J., Nghia, T., Phan, H., Wang, X. (2013) "The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle", arXiv preprint arXiv:1309.4709
  • Hoheisel, T., Kanzow, C., Mordukhovich, B.S., Phan, H. (2012) "Generalized Newton’s method based on graphical derivatives", Nonlinear Analysis: Theory, Methods & Applications 75:3 pp. 1324–1340
  • Bauschke, H.H., Luke, D.R., Phan, H., Wang, X. (2012) "Restricted normal cones and the method of alternating projections", arXiv preprint arXiv:1205.0318
  • Mordukhovich, B.S., Phan, H. (2012) "Tangential extremal principles for finite and infinite systems of sets II: applications to semi-infinite and multiobjective optimization", Mathematical programming 136:1 pp. 31–63
  • Mordukhovich, B.S., Phan, H. (2012) "Tangential extremal principles for finite and infinite systems of sets, I: basic theory", Mathematical programming 136:1 pp. 3–30
  • Mordukhovich, B.S., Nam, N.M., Phan, H. (2012) "Variational analysis of marginal functions with applications to bilevel programming", Journal of Optimization Theory and Applications 152:3 pp. 557–586
  • Mordukhovich, B.S., Phan, H. (2011) "Rated extremal principles for finite and infinite systems", Optimization 60:7 pp. 893–923
  • Morukhovich, B., Nam, M., Phan, H. (2011) "Variational analysis of marginal function with applications to bilevel programming problems", J. Optim. Theory Appl