Results 41 to 50 of about 59,248 (235)

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

Products of positive definite matrices. II [PDF]

Pacific Journal of Mathematics, 1967
I. The author gives, for every positive integer \(j\), necessary and sufficient conditions for a \(2\times 2\) real matrix (with positive determinant) to be a product of \(j\) positive definite real symmetric matrices (if \(j\ge 5\), every real matrix with positive determinant can be written as such a product).
openaire   +6 more sources

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

Annals 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, Freddy Chafota, Miguel E. Rentería, Randi J. Hagerman, Ellery Santos, Anna Atkinson, Nicholas G. Martin, Elsdon Storey, Danuta Z. Loesch   +8 more
wiley   +1 more source

Positive definiteness constraints of effective scalar potential in Georgi–Machacek model

European Physical Journal C: Particles and Fields
The Georgi–Machacek (GM) model extends the Higgs sector of the Standard Model by introducing additional triplets, preserving custodial symmetry at tree level and allowing large triplet vacuum expectation values (VEVs) of order $$\mathcal {O}(10)$$ O ( 10
Xiaokang Du, Fei Wang
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

On exact linesearch quasi-Newton methods for minimizing a quadratic function

, 2017
This paper concerns exact linesearch quasi-Newton methods for minimizing a quadratic function whose Hessian is positive definite. We show that by interpreting the method of conjugate gradients as a particular exact linesearch quasi-Newton method ...
Forsgren, Anders, Odland, Tove
core   +1 more source

Does Long‐Term Lower Extremity Strength Training in Adults With Knee Osteoarthritis and Varus Alignment Reduce Knee Joint Loading During Gait?

Arthritis Care &Research, EarlyView.
Objective We examined whether 18 months of strength training in individuals with knee varus alignment and medial tibiofemoral osteoarthritis (OA) reduced knee joint loads during walking compared to an attention control group. Methods This study was a secondary analysis of a randomized clinical trial that compared the effects of strength training to a ...
Stephen P. Messier, Matthew N. Vigliotti, Paige E. Rice, Brian Pietrosimone, Shannon L. Mihalko, Edward H. Ip, Richard F. Loeser, David J. Hunter, Ali Guermazi, Ryan Hill, Santiago Saldana, Kim L. Bennell, Paul DeVita   +12 more
wiley   +1 more source

Computation of Bounds for Polynomial Dynamic Systems

Algorithms
Bounds for positive definite sets such as attractors of dynamic systems are typically characterized by Lyapunov-like functions. These Lyapunov functions and their time derivatives must satisfy certain definiteness conditions, whose verification usually ...
Klaus Röbenack, Daniel Gerbet
doaj   +1 more source

Absence of Non-Trivial Fuzzy Inner Product Spaces and the Cauchy–Schwartz Inequality

Mathematics, 2020
First, we show that the non-trivial fuzzy inner product space under the linearity condition does not exist, which means a fuzzy inner product space with linearity produces only a crisp real number for each pair of vectors. If the positive-definiteness is
Taechang Byun, Ji Eun Lee, Keun Young Lee, Jin Hee Yoon   +3 more
doaj   +1 more source

State-of-Charge Estimation of Lithium-Ion Batteries Based on Dual-Coefficient Tracking Improved Square-Root Unscented Kalman Filter

Batteries, 2023
Accurate state of charge (SOC) estimation is helpful for battery management systems to extend batteries’ lifespan and ensure the safety of batteries. However, due to the pseudo-positive definiteness of the covariance matrix and noise statistics error ...
Simin Peng, Ao Zhang, Dandan Liu, Mengzeng Cheng, Jiarong Kan, Michael Pecht   +5 more
doaj   +1 more source