Results 41 to 50 of about 927 (80)
On two matrix derivatives by Kollo and von Rosen [PDF]
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
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Notes and counterexamples on positive (semi) definite properties of some matrix products
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
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
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A generalization of the Graham-Pollak tree theorem to even-order Steiner distance
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
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Parsimony and the rank of a flattening matrix. [PDF]
Snyman J, Fox C, Bryant D.
europepmc +1 more source
On complex and real identifiability of tensors
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
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]
Georg P+5 more
europepmc +1 more source
Some noteworthy alternating trilinear forms
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
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Universality of High-Strength Tensors. [PDF]
Bik A+3 more
europepmc +1 more source