Results 31 to 40 of about 4,272 (299)
Ordering positive definite matrices [PDF]
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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New criteria for H $\mathcal{H}$ -tensors and an application
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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A Bootstrap Test for Positive Definiteness of Income Effect Matrices [PDF]
Positive definiteness of income effect matrices provides a sufficient condition for the law of demand to hold. Given cross section household expenditure data, empirical evidence for the law of demand can be obtained by estimating such matrices. Hardle,
Hart, JD. +3 more
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On positive positive-definite functions and Bochner’s Theorem
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Aicke Hinrichs, Jan Vybíral
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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
doaj
Computational geometry of positive definiteness [PDF]
In matrix computations, such as in factoring matrices, Hermitian and, preferably, positive definite elements are occasionally required. Related problems can often be cast as those of existence of respective elements in a matrix subspace.
Huhtanen, Marko +3 more
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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]
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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Positive definiteness of forms: Numerical identification [PDF]
The question about positive definiteness or semidefiniteness of quadratic forms (or, more generally, polynomial homogeneous forms of an even degree) arises in numerous fields of mathematics and its applications.
Arutyunov A.V., Izmailov A.F.
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Relationship Between Neurologic Symptoms and Signs and FMR1 Genotype in Premutation Carriers
ABSTRACT Background and Objectives Fragile X‐associated Tremor/Ataxia Syndrome (FXTAS) is the most severe late‐onset condition caused by a premutation in the FMR1 gene, characterized by expanded CGG triplet repeats of 55–200. Clinical presentations of FXTAS, including gait ataxia, kinetic tremor, cognitive decline, and rare Parkinsonism, are linked to ...
Flora Tassone +8 more
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