- Mathematical study of first-order algorithms for big dataset, 2018-2021.
- Splitting algorithms via positive-indefinite proximal regularization for convex programming, 2017-2020.
- Block-wise splitting methods for convex programming, 2016-2019.
- Further algorithmic study on saddle point problems, 2015-2018.
- Strictly contractive Peaceman-Rachford splitting methods for convex optimization, 2014-2017.
- Convergence rate analysis for splitting methods, 2013-2016.
- Customized proximal point algorithms for convex optimization, 2012-2015.
- Splitting methods for separable convex programming, 2011-2014.
- Numerical algorithms for some low-rank-driven optimization problems, 2010-2013.
- The variational inequality approach to solving large-scale matrix optimization problems, 2009-2011.