Results 11 to 20 of about 6,786 (248)

An optimal Z-eigenvalue inclusion interval for a sixth-order tensor and its an application

open access: yesAIMS Mathematics, 2022
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
doaj   +1 more source

Symmetry and positive definiteness of the tensor-valued spring constant derived from P1-FEM for the equations of linear elasticity

open access: yesNetworks and Heterogeneous Media, 2014
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
doaj   +1 more source

New criteria-based ℋ-tensors for identifying the positive definiteness of multivariate homogeneous forms

open access: yesOpen 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
doaj   +1 more source

Strict positive definiteness on spheres via disk polynomials

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
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
doaj   +1 more source

Predicative definite NPIs in Norwegian

open access: yesNordlyd: Tromsø University Working Papers on Language & Linguistics, 2011
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
doaj   +1 more source

New Sufficient Condition for the Positive Definiteness of Fourth Order Tensors

open access: yesMathematics, 2018
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
doaj   +1 more source

Spectral Analysis of One Class of Positive-Definite Operators and Their Application in Fractional Calculus

open access: yesMathematics, 2023
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
doaj   +1 more source

WAYS OF EXPRESSING THE CATEGORY “DEFINITENESS – INDEFINITENESS” IN RUSSIAN, TATAR AND GERMAN LANGUAGES (COMPARATIVE ASPECT)

open access: yesМногоязычие в образовательном пространстве, 2021
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
doaj   +1 more source

Using stability analysis of discrete elastic systems to study the buckling of nanostructures

open access: yesArchives of Mechanics, 2012
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
doaj   +1 more source

Remedies for Misapplications of Sylvester’s Criterion: A Pedagogic Illustration

open access: yesSpreadsheets in Education, 2021
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
doaj  

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