**Dr. Hung M Phan**Assistant Professor

**College**College of Sciences**Department**Mathematical Science**Email**Hung_Phan@uml.edu**Profile URLs**

## Research Interests

Mathematical Optimization, Operations Research, Variational Analysis

## Education

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

## 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," - Bausche, H., Koch, V.,
**Phan, H.**(2016) "Stadium norm and Douglas-Rachford splitting: a new approach to road design optimization," **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*