Results 11 to 20 of about 6,786 (248)
An optimal Z-eigenvalue inclusion interval for a sixth-order tensor and its an application
An optimal Z-eigenvalue inclusion interval for a sixth-order tensor is presented. As an application, a sufficient condition for the positive definiteness of a sixth-order real symmetric tensor (also a homogeneous polynomial form) is obtained, which is ...
Tinglan Yao
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We study spring-block systems which are equivalent to the P1-finite element methods forthe linear elliptic partial differential equation of second orderand for the equations of linear elasticity.Each derived spring-block system is consistent with the ...
Hirofumi Notsu, Masato Kimura
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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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Strict positive definiteness on spheres via disk polynomials
We characterize complex strictly positive definite functions on spheres in two cases, the unit sphere of ℂq, q≥3, and the unit sphere of the complex ℓ2. The results depend upon the Fourier-like expansion of the functions in terms of disk polynomials and,
V. A. Menegatto, A. P. Peron
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Predicative definite NPIs in Norwegian
In Norwegian, a weak quantifier or a scalar adjective with a positive value may combine with a definite noun and thereby form an attenuating NPI. These phrases, which I call predicative definite NPIs, are exceptional as nominal phrases, since they do not
Marit Julien
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New Sufficient Condition for the Positive Definiteness of Fourth Order Tensors
In this paper, we give a new Z-eigenvalue localization set for Z-eigenvalues of structured fourth order tensors. As applications, a sharper upper bound for the Z-spectral radius of weakly symmetric nonnegative fourth order tensors is obtained and a new Z-
Jun He +3 more
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This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary-value problems for differential equations of fractional order.
Tatiana Matseevich, Temirkhan Aleroev
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The purpose of this study is to conduct a comparative typological analysis of the means of expressing the category “Definiteness / Indefiniteness” in German, Tatar and Russian languages and, building on this analysis, to develop a system of exercises ...
A. A. Sibgatullina
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Using stability analysis of discrete elastic systems to study the buckling of nanostructures
Stubility/instability criteria of discrete elastic systems are used to study the buckling of nanostructures. The deformation of nanostructures is simulated by solving the nonlinear equations of molecular mechanics.
S.N. Korobeynikov +3 more
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Remedies for Misapplications of Sylvester’s Criterion: A Pedagogic Illustration
Sylvester’s criterion, which verifies the positive definiteness of any real symmetric matrix by examining the signs of all leading principal minors, is an excellent analytical tool.
Clarence C.Y. Kwan
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