[图书][B] Tensor analysis: spectral theory and special tensors
L Qi, Z Luo - 2017 - SIAM
Matrix theory is one of the most fundamental tools of mathematics and science, and a
number of classical books on matrix analysis have been written to explore this theory. As a …
number of classical books on matrix analysis have been written to explore this theory. As a …
[HTML][HTML] 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 …
[HTML][HTML] Tensor complementarity problems—part III: applications
We have reviewed some theoretical and algorithmic developments for tensor
complementarity problems and related models in the first part and the second part of this …
complementarity problems and related models in the first part and the second part of this …
[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 …
Column sufficient tensors and tensor complementarity problems
Stimulated by the study of sufficient matrices in linear complementarity problems, we study
column sufficient tensors and tensor complementarity problems. Column sufficient tensors …
column sufficient tensors and tensor complementarity problems. Column sufficient tensors …
A complete semidefinite algorithm for detecting copositive matrices and tensors
A real symmetric tensor is said to be copositive if the associated homogeneous form is
greater than or equal to zero over the nonnegative orthant. The problem of detecting tensor …
greater than or equal to zero over the nonnegative orthant. The problem of detecting tensor …
A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test
Finding the maximum eigenvalue of a symmetric tensor is an important topic in tensor
computation and numerical multilinear algebra. In this paper, we introduce a new class of …
computation and numerical multilinear algebra. In this paper, we introduce a new class of …
[HTML][HTML] Copositive tensor detection and its applications in physics and hypergraphs
Copositivity of tensors plays an important role in vacuum stability of a general scalar
potential, polynomial optimization, tensor complementarity problem and tensor generalized …
potential, polynomial optimization, tensor complementarity problem and tensor generalized …
Solution structures of tensor complementarity problem
X Wang, H Chen, Y Wang - Frontiers of Mathematics in China, 2018 - Springer
Solution structures of tensor complementarity problem Page 1 Front. Math. China 2018, 13(4):
935–945 https://doi.org/10.1007/s11464-018-0675-2 Solution structures of tensor …
935–945 https://doi.org/10.1007/s11464-018-0675-2 Solution structures of tensor …