Results 31 to 40 of about 4,257 (300)
Using stability analysis of discrete elastic systems to study the buckling of nanostructures
Archives 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
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Stable positive definite functions [PDF]
Transactions of the American Mathematical Society, 1975 This paper investigates the stability of positive definite functions on locally compact groups under one parameter groups of automorphisms. As an application of this it is shown that the only probability distributions on
Parthasarathy, K. R., Schmidt, K.
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Intelligent optimization based density matrix reconstruction method with semi-positive constraint
Results in Physics, 2023 Quantum state tomography (QST) is a technique used to reconstruct the density matrix of unknown quantum states based on experimentally obtained measurements. QST is a fundamental tool in the field of quantum information and quantum technology.
Xiaomin Meng +3 more
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Retaining positive definiteness in thresholded matrices
, 2012 Positive definite (p.d.) matrices arise naturally in many areas within mathematics and also feature extensively in scientific applications. In modern high-dimensional applications, a common approach to finding sparse positive definite matrices is to ...
Guillot, Dominique, Rajaratnam, Bala
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Ordering positive definite matrices [PDF]
Information Geometry, 2018 We introduce new partial orders on the set Sn+$$S^+_n$$ of positive definite matrices of dimension n derived from the affine-invariant geometry of Sn+$$S^+_n$$. 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 Sn+$$S^+_n$$ defined by ...
Cyrus Mostajeran, Rodolphe Sepulchre
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Remedies for Misapplications of Sylvester’s Criterion: A Pedagogic Illustration
Spreadsheets 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
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New criteria for H $\mathcal{H}$ -tensors and an application
Journal of Inequalities and Applications, 2016 Some new criteria for H $\mathcal{H}$ -tensors are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor are given. The advantages of the results obtained are illustrated by numerical
Feng Wang, De-shu Sun
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On positive positive-definite functions and Bochner’s Theorem
Journal of Complexity, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aicke Hinrichs, Jan Vybíral
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Complexity, 2020 M-eigenvalues of fourth-order partially symmetric tensors play important roles in the nonlinear elastic material analysis and the entanglement problem of quantum physics.
Gang Wang, Linxuan Sun, Lixia Liu
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On a conjecture concerning positive semi-definiteness [PDF]
, 2019 In [7] a conjecture relating the positive definiteness of a similarity with its transitivity with respect to the Lukasiewicz t-norm is made. In its current form, the conjecture is not true but from a modified version interesting consequences can be ...
Recasens Ferrés, Jorge
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