9 citations · 16 across the 9 of their papers we have counts for
9 papers
Two classes of minimal generic fundamental invariants for tensors
Xin Li, Liping Zhang, Hanchen Xia
Motivated by the problems raised by Bürgisser and Ikenmeyer, we discuss two classes of minimal generic fundamental invariants for tensors of order 3. The first one is defined on $\…
A Polynomially Irreducible Functional Basis of Elasticity Tensors
Zhenyu Ming, Yannan Chen, Liqun Qi +1
Tensor function representation theory is an essential topic in both theoretical and applied mechanics. For the elasticity tensor, Olive, Kolev and Auffray (2017) proposed a minimal…
Randomized Core Reduction for Discrete Ill-Posed Problem
Liping Zhang, Yimin Wei
In this paper, we apply randomized algorithms to approximate the total least squares (TLS) solution of the problem in the large-scale discrete ill-posed problems. A r…
Computing all Laplacian H-eigenvalues for a k-uniform loose path of length three
Junjie Yue, Liping Zhang
The spectral theory of Laplacian tensor is an important tool for revealing some important properties of a hypergraph. It is meaningful to compute all Laplacian H-eigenvalues for so…
A mixed integer programming approach to the tensor complementarity problem
Shouqiang Du, Liping Zhang
In this paper, we establish a new approach to solve the tensor complementarity problem (TCP). A mixed integer programming model is given and the TCP is solved by solving the model.…
An Irreducible Polynomial Functional Basis of Two-dimensional Eshelby Tensors
Zhenyu Ming, Liping Zhang, Yannan Chen
Representation theorems for both isotropic and anisotropic functions are of prime importance in both theoretical and applied mechanics. The Eshelby inclusion problem is very fundam…
Tensor absolute value equations
Shouqiang Du, Liping Zhang, Chiyu Chen +1
This paper is concerned with solving some structured multi-linear systems, which are called tensor absolute value equations. This kind of absolute value equations is closely relate…
M-tensors and The Positive Definiteness of a Multivariate Form
Liping Zhang, Liqun Qi, Guanglu Zhou
We study M-tensors and various properties of M-tensors are given. Specially, we show that the smallest real eigenvalue of M-tensor is positive corresponding to a nonnegative eigenv…
The Dominant Eigenvalue of an Essentially Nonnegative Tensor
Liping Zhang, Liqun Qi, Ziyan Luo
It is well known that the dominant eigenvalue of a real essentially nonnegative matrix is a convex function of its diagonal entries. This convexity is of practical importance in po…