Results 1 to 10 of about 927 (80)
Application of polynomial tensor interpolation for technical tests
Journal of Applied Mathematics and Computational Mechanics, 2021 The main aim of this paper is a new formula of tensor interpolation by the polynomial of two variables. The formulas for interpolating polynomial coefficients are obtained using the Kronecker tensor product of matrices.
Anita Ciekot, G. Biernat, T. Fraczek
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Journal of Inequalities and Applications, 2014 In this paper, we establish some important properties of M-tensors. We derive upper and lower bounds for the minimum eigenvalue of M-tensors, bounds for eigenvalues of M-tensors except the minimum eigenvalue are also presented; finally, we give the Ky ...
Jun He, Tingzhu Huang
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An ℋ-tensor-based criteria for testing the positive definiteness of multivariate homogeneous forms
Open Mathematics, 2022 A positive definite homogeneous multivariate form plays an important role in the field of optimization, and positive definiteness of the form can be identified by a special structured tensor.
Bai Dongjian, Wang Feng
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A Partial Stratification of Secant Varieties of Veronese Varieties via Curvilinear Subschemes [PDF]
Sarajevo Journal of Mathematics, 2010 We give a partial "quasi-stratification" of the secant varieties of the order $d$ Veronese variety $X_{m,d}$ of $\mathbb {P}^m$. It covers the set $\sigma _t(X_{m,d})^{\dagger}$ of all points lying on the linear span of curvilinear subschemes of $X_{m,d}$
E. Ballico, Alessandra Bernardi
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Open Mathematics, 2021 Positive definite polynomials are important in the field of optimization. ℋ-tensors play an important role in identifing the positive definiteness of an even-order homogeneous multivariate form.
Sun Deshu, Bai Dongjian
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A New $C$-Eigenvalue Localisation Set for Piezoelectric-Type Tensors
, 2020 A new inclusion set for localisation of the C-eigenvalues of piezoelectric tensors is established. Numerical experiments show that it is better or comparable to the methods known in literature.
L. Liu
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Open Mathematics, 2021 A higher dimensional generalization of the cross product is associated with an adequate matrix multiplication. This index-free view allows for a better understanding of the underlying algebraic structures, among which are generalizations of Grassmann’s ...
Lewintan Peter
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A generalization of Kruskal’s theorem on tensor decomposition
Forum of Mathematics, Sigma, 2023 Kruskal’s theorem states that a sum of product tensors constitutes a unique tensor rank decomposition if the so-called k-ranks of the product tensors are large.
Benjamin Lovitz, Fedor Petrov
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New iterative codes for 𝓗-tensors and an application
Open Mathematics, 2016 New iterative codes for identifying 𝓗 -tensor are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor, i.e., an even-degree homogeneous polynomial form are given.
Wang Feng, Sun Deshu
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Effective identifiability criteria for tensors and polynomials [PDF]
, 2017 A tensor $T$, in a given tensor space, is said to be $h$-identifiable if it admits a unique decomposition as a sum of $h$ rank one tensors. A criterion for $h$-identifiability is called effective if it is satisfied in a dense, open subset of the set of ...
Massarenti, Alex +2 more
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