Research Interests
Mathematical Optimization, Operations Research, Variational Analysis, Mathematical Programming
Education
- Ph D: Mathematics, (2011), Wayne State University
Selected Publications
- Nam, N.M., Phan, H., Wang, B. (2019). Bornological coderivative and subdifferential calculus in smooth Banach spaces. Set-Valued and Variational Analysis, in-press.
- Dao, M.N., Phan, H. (2019). Computing the resolvent of the sum of operators with application to best approximation problems. Optimization Letters, in-press.
- Cruz, J., Millán, R.D., Phan, H. (2019). Conditional extragradient algorithms for variational inequalities. Pacific Journal of Optimization, in-press.
- Koch, V.R., Phan, H. (2019). Optimization of triangular networks with spatial constraints. Optimization Methods and Software, in-press.
- Dao, M.N., Phan, H. (2019). Linear convergence of projection algorithms. Mathematics of Operations Research, 44(2) 715-738.
- Dao, M.N., Phan, H. (2018). Linear convergence of the generalized Douglas-Rachford algorithm for feasibility problems. Journal of Global Optimization, 72(3) 443-474.
- Phan, H. (2016). Linear convergence of the Douglas–Rachford method for two closed sets. Optimization, 65(2) 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) 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) 728–742.
- Bausche, H., Bello Cruz, J., Nghia, T., Phan, H., Wang, X. (2016). Optimal rates of convergence of matrices with applications. Numerical Algorithms, 73(1) 33-76.
- Bauschke, H.H., Dao, M.N., Noll, D., Phan, H. (2016). Proximal point algorithm, Douglas-Rachford algorithm and alternating projections: a case study. Journal of Convex Analysis, 23(1) 237-261.
- Bausche, H., Koch, V., Phan, H. (2016). Stadium norm and Douglas-Rachford splitting: a new approach to road design optimization. 64 201-218.
- 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) 1–20.
- 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) 63–83.
- Bauschke, H.H., Phan, H., Wang, X. (2014). The Method of Alternating Relaxed Projections for two nonconvex sets. Vietnam Journal of Mathematics, 42 421-450 .
- Bauschke, H.H., Cruz, J., Nghia, T., Phan, H., Wang, X. (2014). The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle. Journal of Approximation Theory, 185 63-79.
- 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) 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) 431–473.
- 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) 1324–1340.
- 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) 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) 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) 557–586.
- Mordukhovich, B.S., Phan, H. (2011). Rated extremal principles for finite and infinite systems. Optimization, 60(7) 893–923.