56 citations · 89 across the 10 of their papers we have counts for
10 papers
Newton-based alternating methods for the ground state of a class of multi-component Bose-Einstein condensates
Pengfei Huang, Qingzhi Yang
The computation of the ground states of special multi-component Bose-Einstein condensates (BECs) can be formulated as an energy functional minimization problem with spherical const…
The decompositions and positive semidefiniteness of fourth-order conjugate partial-symmetric tensors with applications
Pengfei Huang, Qingzhi Yang
Conjugate partial-symmetric (CPS) tensor is a generalization of Hermitian matrices. For the CPS tensor decomposition some properties are presented. For real CPS tensors in particul…
The low-rank approximation of fourth-order partial-symmetric and conjugate partial-symmetric tensor
Amina Sabir, Pegnfei Huang, Qingzhi Yang
We present an orthogonal matrix outer product decomposition for the fourth-order conjugate partial-symmetric (CPS) tensor and show that the greedy successive rank-one approximation…
Newton-based methods for finding the positive ground state of Gross-Pitaevskii equations
Pengfei Huang, Qingzhi Yang
The discretization of Gross-Pitaevskii equations (GPE) leads to a nonlinear eigenvalue problem with eigenvector nonlinearity (NEPv). In this paper, we use two Newton-based methods…
Finding the Global Optimum of a Class of Quartic Minimization Problem
Pengfei Huang, Qingzhi Yang, Yuning Yang
We consider a special nonconvex quartic minimization problem over a single spherical constraint, which includes the discretized energy functional minimization problem of non-rotati…
Generalized Eigenvalue Complementarity Problem for Tensors
Zhongming Chen, Qingzhi Yang, Lu Ye
In this paper, the generalized eigenvalue complementarity problem for tensors (GEiCP-T) is addressed, which arises from the stability analysis of finite dimensional mechanical syst…
On some properties of nonnegative weakly irreducible tensors
Yuning Yang, Qingzhi Yang
In this paper, we mainly focus on how to generalize some conclusions from nonnegative irreducible tensors to nonnegative weakly irreducible tensors. To do so, a basic and important…
Further Results for Perron-Frobenius Theorem for Nonnegative Tensors II
Yuning Yang, Qingzhi Yang
In this paper, we generalize some conclusions from the nonnegative irreducible tensor to the nonnegative weakly irreducible tensor and give more properties of eigenvalue problems.
An algorithm to find the spectral radius of nonnegative tensors and its convergence analysis
Yuning Yang, Qingzhi Yang, Yanguang Li
In this paper we propose an iterative algorithm to find out the spectral radius of nonnegative tensors. This algorithm is an extension of the smoothing method for finding the large…
A note on the geometric simplicity of the spectral radius of nonnegative irreducible tensors
Yuning Yang, Qingzhi Yang
We prove that the spectral radius of even order nonnegative irreducible tensors is real geometrically simple. In the case when the order of the tensor is odd, or in the complex fie…