| 1996 | Computational techniques for inverse problems in kidney modeling | 김선영 | Article |
| 2003 | Computing all nonsingular solutions of cyclic-n polynomial using polyhedral homotopy continuation methods | 김선영 | Article |
| 2018 | Convexification of a Nonconvex Quadratic by a Second Order Cone and a Nonconvex Quadratic | 김설인 | Master's Thesis |
| 2008 | Correlative sparsity in primal-dual interior-point methods for LP, SDP, and SOCP | 김선영 | Article |
| 2018 | Equivalences and differences in conic relaxations of combinatorial quadratic optimization problems | 김선영 | Article |
| 2017 | Exact semidefinite programming relaxations with truncated moment matrix for binary polynomial optimization problems | 김선영 | Article |
| 2003 | Exact solutions of some nonconvex quadratic optimization problems via SDP and SOCP relaxations | 김선영 | Article |
| 2011 | Exploiting sparsity in linear and nonlinear matrix inequalities via positive semidefinite matrix completion | 김선영 | Article |
| 2009 | Exploiting sparsity in SDP relaxation for sensor network localization | 김선영 | Article |
| 2012 | Exploiting sparsity in SDP relaxation of polynomial optimization problems | 김선영 | Book Chapter |
| 2016 | Exploiting Sparsity of Bounded Sums of Squares Hierarchy for Polynomial Optimization | 이민지 | Master's Thesis |
| 2016 | Extension of Completely Positive Cone Relaxation to Moment Cone Relaxation for Polynomial Optimization | 김선영 | Article |
| 2014 | Faster, but weaker, relaxations for quadratically constrained quadratic programs | 김선영 | Article |
| 2017 | Formalizing the meta-theory of first-order predicate logic | 김선영 | Article |
| 2005 | Generalized lagrangian duals and sums of squares relaxations of sparse polynomial optimization blems | 김선영 | Article |
| 2018 | LAGRANGIAN-CONIC RELAXATIONS, PART I: A UNIFIED FRAMEWORK AND ITS APPLICATIONS TO QUADRATIC OPTIMIZATION PROBLEMS | 김선영 | Article |
| 2019 | LAGRANGIAN-CONIC RELAXATIONS, PART II: APPLICATIONS TO POLYNOMIAL OPTIMIZATION PROBLEMS | 김선영 | Article |
| 2015 | Least-Squares Monte Carlo method for the valuation of American Options | 김다정 | Master's Thesis |
| 1993 | Mobius band의 조형적 표현 연구 | 김선영 | Master's Thesis |
| 2010 | Numerical Experiments for Nuclear Norm Minimization Problems | 김남희 | Master's Thesis |
| 2010 | Numerical Experiments with ESDP and SFSDP for 3-Dimensional Anchor-free Problems | Kim, Janet S | Master's Thesis |
| 2009 | Numerical Experiments with SFSDP for 3-Dimensional Problems and Molecular Conformation | 임재연 | Master's Thesis |
| 1999 | Numerical solutions of Cauchy singular integral equations using generalized inverses | 김선영 | Article |
| 2004 | Numerical stability of path tracing in polyhedral homotopy continuation methods | 김선영 | Article |
| 2013 | Numerical Study on Further Relaxations of the Moment Cone Relaxation for Polynomial Optimization Problems | 이미희 | Master's Thesis |
| 2013 | Numerical Study on Mixed SOCP-SDP Relaxations for Quadratic Optimization Problems | 마상인 | Master's Thesis |
| 2015 | Numerical Study on Parameter Estimations for Heston's Stochastic Volatility Model | 이상희 | Master's Thesis |
| 2014 | Numerical study on the Lagrangian-DNN relaxation of quadratic optimization problem with sparsity exploitation | 박지혜 | Master's Thesis |
| 2019 | On the conditions for the finite termination of ADMM and its applications to SOS polynomials feasibility problems | 김선영 | Article |
| 2004 | PHoM - A polyhedral homotopy continuation method for polynomial systems | 김선영 | Article |
