Results 31 to 40 of about 927 (80)
On decomposition problems on manifolds with a special differential operators
, 2013 This paper deals with the properties of a special differential operator with respect to the general decomposition of tensor fields on manifolds with affine connection.
M. Jukl, L. Juklová
semanticscholar +1 more source
An S-type upper bound for the largest singular value of nonnegative rectangular tensors
Open Mathematics, 2016 An S-type upper bound for the largest singular value of a nonnegative rectangular tensor is given by breaking N = {1, 2, … n} into disjoint subsets S and its complement. It is shown that the new upper bound is smaller than that provided by Yang and Yang (
Zhao Jianxing, Sang Caili
doaj +1 more source
New bounds for the minimum eigenvalue of 𝓜-tensors
Open Mathematics, 2017 A new lower bound and a new upper bound for the minimum eigenvalue of an 𝓜-tensor are obtained. It is proved that the new lower and upper bounds improve the corresponding bounds provided by He and Huang (J. Inequal.
Zhao Jianxing, Sang Caili
doaj +1 more source
Open MathematicsWe consider the tensor products of square matrices of different sizes and introduce the stretching maps, which can be viewed as a generalized matricization.
Futorny Vyacheslav +2 more
doaj +1 more source
Note on a Differential-Geometrical Construction of Optimal Directions in Linearly-Constrained Systems [PDF]
, 2010 This note presents an analytic construction of the optimal unit-norm direction hat(x) = x/|x| that maximizes or minimizes the objective linear expression, B . hat(x), subject to a system of linear constraints of the form [A] .
Ellis, John +2 more
core
ON THE MAXIMAL SYMMETRIC TENSOR RANK FOR MULTIVARIATE HOMOGENEOUS POLYNOMIALS
, 2013 For all positive integers m,d, b let ρ(m,d) (resp. ρ(m,d, b)) be the maximal symmetric tensor rank of any f ∈ C[x0, . . . , xn] \ {0} homogeneous of degree d (resp. and with border rank ≤ b). Here we prove that ρ(m,d) ≤ ( m+d m ) −m for all m ≥ 2 and d ≥
E. Ballico
semanticscholar +1 more source
Characterization generalized derivations of tensor products of nonassociative algebras
Demonstratio MathematicaConsider A{\mathcal{A}} and ℬ{\mathcal{ {\mathcal B} }} to be nonassociative unital algebras. Under the assumption that either one of them has finite dimensions or that both are finite dimensions, a generalized derivation is an additive map ℱ:A→A ...
Aboubakr Ahmed
doaj +1 more source
Hyperdeterminants on semilattices [PDF]
, 2006 We compute hyperdeterminants of hypermatrices whose indices belongs in a meet-semilattice and whose entries depend only of the greatest lower bound of the indices. One shows that an elementary expansion of such a polynomial allows to generalize a theorem
Luque, Jean-Gabriel
core +4 more sources
Positive Definite Tensors to Nonlinear Complementarity Problems
, 2015 The main purpose of this note is to investigate some kinds of nonlinear complementarity problems (NCP). For the structured tensors, such as, symmetric positive definite tensors and copositive tensors, we derive the existence theorems on a solution of ...
Che, Maolin, Qi, Liqun, Wei, Yimin
core +1 more source
A conjecture on the primitive degree of Tensors [PDF]
, 2013 In this paper, we prove: Let A be a nonnegative primitive tensor with order m and dimension n. Then its primitive degree R(A)\leq (n-1)^2+1, and the upper bound is sharp.
He, Zilong, You, Lihua, Yuany, Pingzhi
core