Results 41 to 50 of about 927 (80)

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

open access: yes, 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

Notes and counterexamples on positive (semi) definite properties of some matrix products

open access: yesAin Shams Engineering Journal, 2018
In the present paper, we give some notes and counterexamples to show that the positive (semi) definite property of the Khatri-Rao and Tracy-Singh products of partitioned matrices are in general incorrect and show also that the matrix triangle inequality ...
Zeyad Al-Zhour
doaj  

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

open access: yesDemonstratio 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   +3 more
doaj   +1 more source

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

open access: yesSpecial 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]

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

On complex and real identifiability of tensors

open access: yes, 2018
We report about the state of the art on complex and real generic identifiability of tensors, we describe some of our recent results obtained in [6] and we present perspectives on the subject.Comment: To appear on Rivista di Matematica dell'Universit\`a ...
Angelini, Elena
core  

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

open access: yes, 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  

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

open access: yesJ Math Biol, 2022
Georg P   +5 more
europepmc   +1 more source

Some noteworthy alternating trilinear forms

open access: yes, 2011
Given an alternating trilinear form T on the V=F^n let L_T denote the set of T-singular lines in the projective space PV. These are all lines for which the linear form T(a,b,.) is identically zero.
Draisma, Jan, Shaw, Ron
core   +1 more source

Universality of High-Strength Tensors. [PDF]

open access: yesVietnam J Math, 2022
Bik A   +3 more
europepmc   +1 more source

Home - About - Disclaimer - Privacy