Results 31 to 40 of about 850 (64)

Convergence of a Second Order Markov Chain

, 2013
In this paper, we consider convergence properties of a second order Markov chain. Similar to a column stochastic matrix is associated to a Markov chain, a so called {\em transition probability tensor} $P$ of order 3 and dimension $n$ is associated to a ...
Hu, Shenglong, Qi, Liqun
core   +1 more source

The hyperbolic CS decomposition of tensors based on the C-product

Open Mathematics
This paper studies the issues about the hyperbolic CS decomposition of tensors under the C-product. The aim of this paper is fourfold. Firstly, we establish the CS decomposition of a complex unitary tensor, including the thin version and the standard ...
Jin Hongwei, Chen Siran, Benítez Julio
doaj   +1 more source

Algorithm and linear convergence of the H-spectral radius of weakly irreducible quasi-positive tensors

Open Mathematics
A class of weakly irreducible quasi-positive tensors is defined by using directed hypergraphs of tensors, which generalizes the essential positive tensors, weakly positive tensors, generalized weakly positive tensors, and weakly essential irreducible ...
Lv Hongbin, Chen Meixiang
doaj   +1 more source

Nonnegative Tensor Factorization, Completely Positive Tensors and an Hierarchical Elimination Algorithm [PDF]

, 2013
Nonnegative tensor factorization has applications in statistics, computer vision, exploratory multiway data analysis and blind source separation. A symmetric nonnegative tensor, which has a symmetric nonnegative factorization, is called a completely ...
Qi, Liqun, Xu, Changqing, Xu, Yi
core  

Geršhgorin-type theorems for Z1-eigenvalues of tensors with applications

Demonstratio Mathematica
In this article, we present several Geršhgorin-type theorems for Z1{Z}_{1}-eigenvalues of tensors, which improve the results provided by Wang et al. (Some upper bounds on Zt{Z}_{t}-eigenvalues of tensors, Appl. Math. Comput.
Shen Xiaowei, Hao Qian, He Jun, Wang Guangbin   +3 more
doaj   +1 more source

On two matrix derivatives by Kollo and von Rosen [PDF]

, 2003
The article establishes relationships between the matrix derivatives of F with respect to X as introduced by von Rosen (1988), Kollo and von Rosen (2000) and the Magnus-Neudecker (1999) matrix derivative.
Neudecker, Heinz
core   +2 more sources

A generalization of Croot-Lev-Pach's Lemma and a new upper bound for the size of difference sets in polynomial rings

, 2018
Croot, Lev and Pach used a new polynomial technique to give a new exponential upper bound for the size of three-term progression-free subsets in the groups $(\mathbb Z _4)^n$.
Hegedüs, Gábor
core  

A generalization of the Graham-Pollak tree theorem to even-order Steiner distance

Special Matrices
Graham and Pollak showed in 1971 that the determinant of a tree’s distance matrix depends only on its number of vertices, and, in particular, it is always nonzero.
Cooper Joshua, Tauscheck Gabrielle
doaj   +1 more source

Parsimony and the rank of a flattening matrix. [PDF]

J Math Biol, 2023
Snyman J, Fox C, Bryant D.
europepmc   +1 more source

Low-rank tensor methods for Markov chains with applications to tumor progression models. [PDF]

J Math Biol, 2022
Georg P, Grasedyck L, Klever M, Schill R, Spang R, Wettig T.   +5 more
europepmc   +1 more source