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Transporting positive definiteness [PDF]
, 2022 This is a rough guide to the topic which might be worthy to develop further on. Expanding positive definiteness beyond its presupposed scope is intriguing due to a number of possible applications. The paper though looking at the first glance a little bit
Szafraniec, Franciszek
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Positive definiteness: from scalar to operator-valued kernels [PDF]
Surveys in Mathematics and its Applications, 2021 In this paper we present a short overview of results that provide relationships among scalar, matrix-valued and certain operator-valued positive definite kernels.
V. A. Menegatto
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Symmetry and Positive Definiteness in Oriented Matroids
, 1984 Symmetry and Positive Definiteness in Oriented ...
Morris, W., Todd, M. J.
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Defining definiteness in Turoyo [PDF]
, 2021 This paper puts forth an expanded typology of definiteness marking, which includes not only ‘strong’ and ‘weak’ but also ‘super-weak’. It also proposes a methodology for identifying ‘super-weak’ definites, and applies it to Ṭuroyo, an endangered Semitic ...
Yifrach, Miriam +3 more
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On a Class of Positive Definite Operators and Their Application in Fractional Calculus
Axioms, 2022 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. Approximation matrices are also investigated.
Temirkhan Aleroev
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Positive Inductive-Recursive Definitions [PDF]
Logical Methods in Computer Science, 2013 A new theory of data types which allows for the definition of types as initial algebras of certain functors Fam(C) -> Fam(C) is presented. This theory, which we call positive inductive-recursive definitions, is a generalisation of Dybjer and Setzer's theory of inductive-recursive definitions within which C had to be discrete -- our work can ...
Ghani, Neil +2 more
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Positive definiteness in coupled strain gradient elasticity [PDF]
, 2021 The linear theory of coupled gradient elasticity has been considered for hemitropic second gradient materials, specifically the positive definiteness of the strain and strain gradient energy density, which is assumed to be a quadratic form of the strain ...
Altenbach, Holm +2 more
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Entropy, 2022 In the spectral analysis of operators associated with Sturm–Liouville-type boundary value problems for fractional differential equations, the problem of positive definiteness or the problem of Hermitian nonnegativity of the corresponding kernels plays an
Mukhamed Aleroev, Temirkhan Aleroev
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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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V-singular values of rectangular tensors and their applications
Journal of Inequalities and Applications, 2019 The positive definiteness of rectangular tensors has wide applications in solid mechanics and quantum physics. By modifying the existing definition of singular value for rectangular tensors, some V-singular value inclusion sets for rectangular tensors ...
Jun He +3 more
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