#### Filter Results:

- Full text PDF available (6)

#### Publication Year

2009

2016

- This year (0)
- Last 5 years (14)
- Last 10 years (20)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Sheng-Long Hu, Zheng-Hai Huang, Qiong Zhang
- J. Computational Applied Mathematics
- 2009

A direct generalized Newton method is proposed for solving the NP-hard absolute value equation (AVE) Ax−|x| = b when the singular values of A exceed 1. A simple MATLAB implementation of the method solved 100 randomly generated 1000-dimensional AVEs to an accuracy of 10−6 in less than 10 seconds each. Similarly, AVEs corresponding to 100 randomly generated… (More)

- Sheng-Long Hu, Liqun Qi
- J. Comb. Optim.
- 2015

In this paper, we investigate the Laplacian, i.e., the normalized Laplacian tensor of a k-uniform hypergraph. We show that the real parts of all the eigenvalues of the Laplacian are in the interval [0, 2], and the real part is zero (respectively two) if and only if the eigenvalue is zero (respectively two). All the H+-eigenvalues of the Laplacian and all… (More)

- Sheng-Long Hu, Zheng-Hai Huang
- Optimization Letters
- 2010

- Sheng-Long Hu, Zheng-Hai Huang, Liqun Qi
- Numerical Lin. Alg. with Applic.
- 2013

- Sheng-Long Hu, Zheng-Hai Huang
- J. Optimization Theory and Applications
- 2012

- Sheng-Long Hu, Liqun Qi
- J. Comb. Optim.
- 2012

- Sheng-Long Hu, Guoyin Li, Liqun Qi, Yisheng Song
- J. Optimization Theory and Applications
- 2013

Finding the maximum eigenvalue of a tensor is an important topic in tensor computation and multilinear algebra. Recently, for a tensor with nonnegative entries (which we refer it as a nonnegative tensor), efficient numerical schemes have been proposed to calculate its maximum eigenvalue based on a Perron–Frobenius-type theorem. In this paper, we consider a… (More)

- Sheng-Long Hu, Zheng-Hai Huang, Chen Ling, Liqun Qi
- J. Symb. Comput.
- 2013

- Sheng-Long Hu, Guoyin Li, Liqun Qi
- J. Optimization Theory and Applications
- 2016

Yuan’s theorem of the alternative is an important theoretical tool in optimization, which provides a checkable certificate for the infeasibility of a strict inequality system involving two homogeneous quadratic functions. In this paper, we provide a tractable extension of Yuan’s theorem of the alternative to the symmetric tensor setting. As an application,… (More)

- Sheng-Long Hu, Liqun Qi
- Discrete Applied Mathematics
- 2014

In this paper, we show that the eigenvectors associated with the zero eigenvalues of the Laplacian and signless Lapacian tensors of a k-uniform hypergraph are closely related to some configured components of that hypergraph. We show that the components of an eigenvector associated with the zero eigenvalue of the Laplacian or signless Lapacian tensor have… (More)