Tensor complementarity problems—part I: basic theory
Tensors (hypermatrices) are multidimensional analogs of matrices. The tensor
complementarity problem is a class of nonlinear complementarity problems with the involved …
complementarity problem is a class of nonlinear complementarity problems with the involved …
[PDF][PDF] High-order copositive tensors and its applications
H Chen, Y Wang - J. Appl. Anal. Comput, 2018 - pdfs.semanticscholar.org
With the coming of the big data era, high-order high-dimensional structured tensors received
much attentions of researchers' in recent years, and now they are developed into a new …
much attentions of researchers' in recent years, and now they are developed into a new …
An iterative algorithm to solve the generalized Sylvester tensor equations
B Huang, C Ma - Linear and Multilinear Algebra, 2020 - Taylor & Francis
This paper is concerned with the conjugate gradient least squares algorithm to solve a class
of tensor equations via the Einstein product. The proposed algorithm uses tensor …
of tensor equations via the Einstein product. The proposed algorithm uses tensor …
A continuation method for tensor complementarity problems
L Han - Journal of Optimization Theory and Applications, 2019 - Springer
Abstract We introduce a Kojima–Megiddo–Mizuno type continuation method for solving
tensor complementarity problems. We show that there exists a bounded continuation …
tensor complementarity problems. We show that there exists a bounded continuation …
Krylov subspace methods to solve a class of tensor equations via the Einstein product
B Huang, Y Xie, C Ma - Numerical Linear Algebra with …, 2019 - Wiley Online Library
This paper is concerned with some of the well‐known iterative methods in their tensor forms
to solve a class of tensor equations via the Einstein product. More precisely, the tensor forms …
to solve a class of tensor equations via the Einstein product. More precisely, the tensor forms …
[HTML][HTML] C-eigenvalue inclusion theorems for piezoelectric-type tensors
H Che, H Chen, Y Wang - Applied Mathematics Letters, 2019 - Elsevier
C-eigenvalues and C-eigenvectors of piezoelectric-type tensors play an important role in
piezoelectric effect and converse piezoelectric effect. In this article, with the help of …
piezoelectric effect and converse piezoelectric effect. In this article, with the help of …
On the M-eigenvalue estimation of fourth-order partially symmetric tensors.
H Che, H Chen, Y Wang - Journal of Industrial & …, 2020 - search.ebscohost.com
In this article, the M-eigenvalue of fourth-order partially symmetric tensors is estimated by
choosing different components of M-eigenvector. As an application, some upper bounds for …
choosing different components of M-eigenvector. As an application, some upper bounds for …
Analytical expressions of copositivity for fourth-order symmetric tensors
In particle physics, scalar potentials have to be bounded from below in order for the physics
to make sense. The precise expressions of checking lower bound of scalar potentials are …
to make sense. The precise expressions of checking lower bound of scalar potentials are …
M‐Eigenvalues‐Based Sufficient Conditions for the Positive Definiteness of Fourth‐Order Partially Symmetric Tensors
G Wang, L Sun, L Liu - Complexity, 2020 - Wiley Online Library
M‐eigenvalues of fourth‐order partially symmetric tensors play important roles in the
nonlinear elastic material analysis and the entanglement problem of quantum physics. In …
nonlinear elastic material analysis and the entanglement problem of quantum physics. In …
[HTML][HTML] On copositiveness identification of partially symmetric rectangular tensors
This paper studies the copositiveness of a partially symmetric rectangular tensor. Some new
criteria for identifying copositive rectangular tensors are established via the representation of …
criteria for identifying copositive rectangular tensors are established via the representation of …