7 citations · 7 across the 4 of their papers we have counts for
5 papers
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…
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…