Results 31 to 40 of about 4,272 (299)

Ordering positive definite matrices [PDF]

open access: yesInformation 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
openaire   +3 more sources

New criteria for H $\mathcal{H}$ -tensors and an application

open access: yesJournal 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
doaj   +1 more source

A Bootstrap Test for Positive Definiteness of Income Effect Matrices [PDF]

open access: yes, 1992
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
core   +1 more source

On positive positive-definite functions and Bochner’s Theorem

open access: yesJournal of Complexity, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aicke Hinrichs, Jan Vybíral
openaire   +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  

Computational geometry of positive definiteness [PDF]

open access: yes, 2012
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
core   +1 more source

M-Eigenvalues-Based Sufficient Conditions for the Positive Definiteness of Fourth-Order Partially Symmetric Tensors

open access: yesComplexity, 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
doaj   +1 more source

On a conjecture concerning positive semi-definiteness [PDF]

open access: yes, 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
core   +1 more source

Positive definiteness of forms: Numerical identification [PDF]

open access: yes, 2020
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.
core   +1 more source

Relationship Between Neurologic Symptoms and Signs and FMR1 Genotype in Premutation Carriers

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
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
wiley   +1 more source

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