【摘 要】
:
In the last decade, spectral theory of tensors and some related topics in tensor study have been studied intensively. In this talk, I will list nine interes
【机 构】
:
TheHongKongPolytechnicUniversity
【出 处】
:
2016年张量和矩阵学术研讨会(International conference on Tensor, Matrix a
论文部分内容阅读
In the last decade, spectral theory of tensors and some related topics in tensor study have been studied intensively. In this talk, I will list nine interesting points in this study.
其他文献
In this talk, we study the properties of extreme points of 1-stochastic tensors. We give the Birkhoff-von Neumann theorem of the 1-stochastic tensor. Some e
Combinatorial matrix theory deals with the interplay between matrix theory and graph theory/combinatorics. In this talk we present some recent work in this
A matrix A is called monotonically positive (MP) if there exists a columnwise mono-tonic matrix U such that A = U U T . MP-matrices have many applications i
Analytic connectivity is a quantity in spectral hypergraph theory, proposed as a sub-stitute of algebraic connectivity in the case of hypergraphs. It is rel
In this talk, we show that if a lower-order Hankel tensor is positive semi-definite (positive definite, negative semi-definite, negative definite, or SOS),
In this talk, I will introduce the tensor representation of quantum states, separable pure states and separable mixed states. Then, I will present separabil
With the advance of data acquisition techniques, tensor (multi-dimensional data) ob jects are increasingly accumulated and generated, for example, multi-cha
Tensor, or multiarrays with with at least 3 indices, are ubiquitous in modern appli-cations, mainly due to data explosion. While matrices are well understoo
We study three tensor ranks, to be called the M-rank, the symmetric M-rank, and the strongly symmetric M-rank. We discuss the bounds between these tensor ra
We define and study three diffierent types of upper (and lower) triangular blocked tensors, which are all generalizations of the triangular blocked matrices