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Positive definite indistinguishability operators [PDF]
Fuzzy Sets and Systems, 2020 Peer ...
Recasens Ferrés, Jorge +1 more
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Ordering positive definite matrices [PDF]
Information Geometry, 2018 We introduce new partial orders on the set $S^+_n$ of positive definite matrices of dimension $n$ derived from the affine-invariant geometry of $S^+_n$. The orders are induced by affine-invariant cone fields, which arise naturally from a local analysis of the orders that are compatible with the homogeneous geometry of $S^+_n$ defined by the natural ...
Mostajeran, C, Sepulchre, R
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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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Mathematics, 2022 Positive definite homogeneous multivariate forms play an important role in polynomial problems and medical imaging, and the definiteness of forms can be tested using structured tensors.
Dongjian Bai, Feng Wang
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Positive definite hyperfunctions [PDF]
Nagoya Mathematical Journal, 1995 S. Bochner proved the following theorem in [B].
Chung, Jaeyoung +2 more
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Extending positive definiteness [PDF]
Transactions of the American Mathematical Society, 2011 The main result of the paper gives criteria for extendibility of sesquilinear form-valued mappings defined on symmetric subsets of *-semigroups to positive definite ones. By specifying this we obtain new solutions of: * the truncated complex moment problem, * the truncated multidimensional trigonometric moment problem, * the truncated two-sided complex
Cichoń, Dariusz +2 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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An optimal Z-eigenvalue inclusion interval for a sixth-order tensor and its an application
AIMS 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
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One-Step Recurrences for Stationary Random Fields on the Sphere [PDF]
, 2016 Recurrences for positive definite functions in terms of the space dimension have been used in several fields of applications. Such recurrences typically relate to properties of the system of special functions characterizing the geometry of the underlying
Beatson, R. K., Castell, W. zu
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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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