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- Xiaojun Chen, Liqun Qi, Defeng Sun
- Math. Comput.
- 1998

The smoothing Newton method for solving a system of nonsmooth equations F (x) = 0, which may arise from the nonlinear complementarity problem, the variational inequality problem or other problems,â€¦ (More)

- Xin-Yuan Zhao, Defeng Sun, Kim-Chuan Toh
- SIAM Journal on Optimization
- 2010

We consider a Newton-CG augmented Lagrangian method for solving semidefinite programming (SDP) problems from the perspective of approximate semismooth Newton methods. In order to analyze the rate ofâ€¦ (More)

- Liqun Qi, Defeng Sun, Guanglu Zhou
- Math. Program.
- 2000

In this paper we take a new look at smoothing Newton methods for solving the nonlinear complementarity problem (NCP) and the box constrained variational inequalities (BVIs). Instead of using anâ€¦ (More)

- Maryam Fazel, Ting Kei Pong, Defeng Sun, Paul Tseng
- SIAM J. Matrix Analysis Applications
- 2013

We introduce a flexible optimization framework for nuclear norm minimization of matrices with linear structure, including Hankel, Toeplitz and moment structures, and catalog applications from diverseâ€¦ (More)

- Yan Gao, Defeng Sun
- 2010

In this paper, we aim at finding a nearest correlation matrix to a given symmetric matrix, measured by the componentwise weighted Frobenius norm, with a prescribed rank and bound constraints on itsâ€¦ (More)

- Defeng Sun, Jie Sun
- Math. Oper. Res.
- 2002

Matrix-valued functions play an important role in the development of algorithms for semidefinite programming problems. This paper studies generalized differential properties of such functions relatedâ€¦ (More)

- Houduo Qi, Defeng Sun
- SIAM J. Matrix Analysis Applications
- 2006

The nearest correlation matrix problem is to find a correlation matrix which is closest to a given symmetric matrix in the Frobenius norm. The well-studied dual approach is to reformulate thisâ€¦ (More)

- Defeng Sun
- Math. Oper. Res.
- 2006

where f : X â†’ < and G : X â†’ Y are twice continuously differentiable functions, X and Y are two finite dimensional real vector spaces each equipped with a scalar product denoted by ã€ˆÂ·, Â·ã€‰ and itsâ€¦ (More)

- Defeng Sun, Jie Sun
- Math. Program.
- 2005

We show that the Fischer-Burmeister complementarity functions, associated to the semidefinite cone (SDC) and the second order cone (SOC), respectively, are strongly semismooth everywhere.â€¦ (More)

- Yong-Jin Liu, Defeng Sun, Kim-Chuan Toh
- Math. Program.
- 2012

The nuclear norm minimization problem is to find a matrix with the minimum nuclear norm subject to linear and second order cone constraints. Such a problem often arises from the convex relaxation ofâ€¦ (More)