Results 51 to 60 of about 5,774,152 (370)

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

Journal of Inequalities and Applications, 2017
Strong H $\mathcal{H}$ -tensors play an important role in identifying the positive definiteness of even-order real symmetric tensors. In this paper, some new iterative criteria for identifying strong H $\mathcal{H}$ -tensors are obtained.
Jingjing Cui, Guohua Peng, Quan Lu, Zhengge Huang   +3 more
doaj   +1 more source

New iterative codes for 𝓗-tensors and an application

Open Mathematics, 2016
New iterative codes for identifying 𝓗 -tensor are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor, i.e., an even-degree homogeneous polynomial form are given.
Wang Feng, Sun Deshu
doaj   +1 more source

New criteria for H-tensors and an application

Open Mathematics, 2015
Some new criteria for identifying H-tensors are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor are given. Advantages of results obtained are illustrated by numerical examples.
Wang Feng, Sun Deshu
doaj   +1 more source

Functions preserving positive definiteness for sparse matrices [PDF]

, 2012
We consider the problem of characterizing entrywise functions that preserve the cone of positive definite matrices when applied to every off-diagonal element. Our results extend theorems of Schoenberg [Duke Math. J. 9], Rudin [Duke Math. J.
D. Guillot, B. Rajaratnam
semanticscholar   +1 more source

Detecting homologous recombination deficiency for breast cancer through integrative analysis of genomic data

Molecular Oncology, EarlyView.
This study develops a semi‐supervised classifier integrating multi‐genomic data (1404 training/5893 validation samples) to improve homologous recombination deficiency (HRD) detection in breast cancer. Our method demonstrates prognostic value and predicts chemotherapy/PARP inhibitor sensitivity in HRD+ tumours.
Rong Zhu, Katherine Eason, Suet‐Feung Chin, Paul A. W. Edwards, Raquel Manzano Garcia, Richard Moulange, Jia Wern Pan, Soo Hwang Teo, Sach Mukherjee, Maurizio Callari, Carlos Caldas, Stephen‐John Sammut, Oscar M. Rueda   +12 more
wiley   +1 more source

On Elastic Stability and Positive Definiteness for One-Dimensional Quasicrystals

Crystals
In this work, a proper formulation of the elastic stability and positive definiteness of the elastic energy density of one-dimensional quasicrystals is provided. Based on an appropriate Voigt notation, the Sylvester criterion is applied and the necessary
Eleni Agiasofitou, Markus Lazar
doaj   +1 more source

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
doaj   +1 more source

Positive Definiteness of Gravitational Field Energy [PDF]

, 1968
The total gravitational field energy functional is shown to have only one extremum under variation of the metric field variables. At the extremum the energy vanishes and space is flat; second variation shows that the vacuum state is also a local ...
Brill, D., Deser, S.
core   +1 more source

Military Service Roles and ALS Among Veterans: A Matched Case–Control Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT While military service is an established risk factor for amyotrophic lateral sclerosis (ALS), it remains unclear whether this association is linked to combat. We conducted a matched case–control study comparing 191 ALS patients who were veterans of the Israeli Defense Forces (IDF) with known military service type and 1910 matched controls. The
Asaf Honig, Roy Dayan, Amir Knaani, Hagai Levine, Marc Gotkine   +4 more
wiley   +1 more source

An extension of a theorem of Schoenberg to products of spheres

, 2015
We present a characterization for the continuous, isotropic and positive definite kernels on a product of spheres along the lines of a classical result of I. J. Schoenberg on positive definiteness on a single sphere.
Guella, J. C., Menegatto, V. A., Peron, Ana P.   +2 more
core   +1 more source