Search results for: Qingjie Hu

Items from 1 to 7 out of 7 results

article

On an $$l_1$$ l 1 exact penalty result for mathematical programs with vanishing constraints

Qingjie Hu, Jiguang Wang, Yu Chen, Zhibin Zhu

Optimization Letters > 2017 > 11 > 3 > 641-653

Recently, Hoheisel et al. (Nonlinear Anal 72(5):2514–2526, 2010) proved the exactness of the classical $$l_1$$ l 1 penalty function for the mathematical programs with vanishing constraints (MPVC) under the MPVC-linearly independent constraint qualification (MPVC-LICQ) and the bi-active set being empty at a local minimum $$x^*$$ x ∗ of MPVC. In this paper, by relaxing the two...

article

Generalization of an existence theorem for complementarity problems

Qingjie Hu, Yu Chen, Jingtong Wang, Zi-sheng Ouyang

Journal of Computational and Applied Mathematics > 2013 > 253 > Complete > 158-162

In this paper, we present a new notion of exceptional d-regular mapping, which is a generalization of the notions of exceptional regular mapping and d-regular mapping. By using the new notion, we establish a new existence result for complementarity problems. Our results only generalize Karamardian’s and Zhao’s existence results (Theorem 3.1 in Karamardian (1972) [5], Theorem 3.8 in Harker et al. (1990)...

chapter

The ZnO nanwire controllable synthesis and its optical properties

Lei Li, Shuming Yang, Qingjie Hu, Chenying Wang, more

2012 12th IEEE International Conference on Nanotechnology (IEEE-NANO) > 1 - 5

2012 IEEE 12th International Conference on Nanotechnology (IEEE-NANO)

in this paper, zinc oxide (ZnO) nanowires are synthesized with the polyethylenemine (PEI) assisted hydrothermal method. The scanning electron microscopy (SEM), X-ray diffraction (XRD) equipment and fluorescence spectrometer are employed to characterize the size, morphology, crystalline quality and photoluminescence properties. By controlling the growth condition, the nanowire with different length...

article

On second order duality for minimax fractional programming

Qingjie Hu, Gang Yang, Jinbao Jian

Nonlinear Analysis: Real World Applications > 2011 > 12 > 6 > 3509-3514

In this paper, two types of second order duality for minimax fractional programming are formulated by introducing an additional vector r. The weak, strong and converse duality theorems are proved for these programs under η-bonvexity assumptions. Several results including many recent works are obtained as special cases.

article

Non-smooth equations based method for ℓ1-norm problems with applications to compressed sensing

Yunhai Xiao, Qiuyu Wang, Qingjie Hu

Nonlinear Analysis > 2011 > 74 > 11 > 3570-3577

In this paper, we propose, analyze, and test a new method for solving ℓ1-norm regularization problems arising from the spare solution recovery in compressed sensing, basis-pursuit problems, and linear inverse problems. The method aims to minimize a non-smooth minimization problem consisting of a least-squares data fitting term and a ℓ1-norm regularization term. The problem is firstly formulated for...

article

Subspace Barzilai-Borwein Gradient Method for Large-Scale Bound Constrained Optimization

Yunhai Xiao, Qingjie Hu

Applied Mathematics & Optimization > 2008 > 58 > 2 > 275-290

An active set subspace Barzilai-Borwein gradient algorithm for large-scale bound constrained optimization is proposed. The active sets are estimated by an identification technique. The search direction consists of two parts: some of the components are simply defined; the other components are determined by the Barzilai-Borwein gradient method. In this work, a nonmonotone line search strategy that guarantees...

article

A new norm-relaxed method of strongly sub-feasible direction for inequality constrained optimization

Jinbao Jian, Haiyan Zheng, Qingjie Hu, Chunming Tang

Applied Mathematics and Computation > 2005 > 168 > 1 > 1-28

Combining the norm-relaxed method of feasible direction (MFD) with the idea of strongly sub-feasible direction method, we present a new convergent algorithm with arbitrary initial point for inequality constrained optimization. At each iteration, the new algorithm solves one direction finding subproblem (DFS) which always possesses a solution. Some good properties of the new algorithm are that it can...

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Search results for: Qingjie Hu

On an $$l_1$$ l 1 exact penalty result for mathematical programs with vanishing constraints

Generalization of an existence theorem for complementarity problems

The ZnO nanwire controllable synthesis and its optical properties

On second order duality for minimax fractional programming

Non-smooth equations based method for ℓ1-norm problems with applications to compressed sensing

Subspace Barzilai-Borwein Gradient Method for Large-Scale Bound Constrained Optimization

A new norm-relaxed method of strongly sub-feasible direction for inequality constrained optimization

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