Results 31 to 40 of about 66,244 (252)

Independence Characterization for Wishart and Kummer Random Matrices

Revstat Statistical Journal, 2020
We generalize the following univariate characterization of the Kummer and Gamma distributions to the cone of symmetric positive definite matrices: let X and Y be independent, non-degenerate random variables valued in (0,∞), then U = Y /(1 +X) and V = X ...
Bartosz Ko lodziejek , Agnieszka Piliszek   +1 more
doaj   +1 more source

Isolated periodic wave trains in a generalized Burgers–Huxley equation

Electronic Journal of Qualitative Theory of Differential Equations, 2022
We study the isolated periodic wave trains in a class of modified generalized Burgers–Huxley equation. The planar systems with a degenerate equilibrium arising after the traveling transformation are investigated.
Qinlong Wang, Yu'e Xiong, Wentao Huang, Valery Romanovski   +3 more
doaj   +1 more source

Adapting the interior point method for the solution of LPs on serial, coarse grain parallel and massively parallel computers [PDF]

, 1990
In this paper we describe a unified scheme for implementing an interior point algorithm (IPM) over a range of computer architectures. In the inner iteration of the IPM a search direction is computed using Newton's method.
Levkovitz, R, Mitra, G, J Andersen, M Tamiz, Tamiz, M, Andersen, J, G Mitra, R Levkovitz   +7 more
core  

A relational-theoretic approach to get solution of nonlinear matrix equations

Journal of Inequalities and Applications, 2022
In this study, we consider a nonlinear matrix equation of the form X = Q + ∑ i = 1 m A i ∗ G ( X ) A i $\mathcal{X}= \mathcal{Q} + \sum_{i=1}^{m} \mathcal{A}_{i}^{*} \mathcal{G} (\mathcal{X})\mathcal{A}_{i}$ , where Q $\mathcal{Q}$ is a Hermitian ...
Hemant Kumar Nashine, Reena Jain, Vahid Parvaneh   +2 more
doaj   +1 more source

Parallel Solution of Hierarchical Symmetric Positive Definite Linear Systems [PDF]

, 2017
We present a prototype task-parallel algorithm for the solution of hierarchical symmetric positive definite linear systems via the ℋ-Cholesky factorization that builds upon the parallel programming standards and associated runtimes for OpenMP and OmpSs ...
Rocío Carratalá-Sáez, Enrique S. Quintana-Ortí, José I. Aliaga   +2 more
core   +1 more source

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

The Solution by Iteration of a Composed K-Positive Definite Operator Equation in a Banach Space

International Journal of Mathematics and Mathematical Sciences, 2010
The equation 𝐿𝑢=𝑓, where 𝐿=𝐴+𝐵, with 𝐴 being a K-positive definite operator and 𝐵 being a linear operator, is solved in a Banach space. Our scheme provides a generalization to the so-called method of moments studied in a Hilbert space by Petryshyn (1962),
S. J. Aneke
doaj   +1 more source

Analysis of the Dynamical System x˙(t) = A x(t) +h(t, x(t)), x(t0) = x0 in a Special Time-Dependent Norm

Communications in Advanced Mathematical Sciences, 2019
As the main new result, we show that one can construct a time-dependent positive definite matrix $R(t,t_0)$ such that the solution $x(t)$ of the initial value problem $\dot{x}(t)=A\,x(t)+h(t,x(t)), \; x(t_0)=x_0,$ under certain conditions satisfies the ...
Ludwig Kohaupt
doaj   +1 more source

Solution of sparse positive definite systems on a hypercube [PDF]

, 1989
The solution of large sparse positive definite systems of equations typically involves four steps: ordering, data structure set-up (symbolic factorization), numerical factorization, and triangular solution.
Liu, Joseph, Heath, Michael, Ng, Esmond, George, Alan   +3 more
core   +1 more source

Evaluation of Digital Technologies for Home‐Based Assessment in People With Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Digital technologies hold promise for transforming healthcare by enhancing personalized treatments and offer valuable opportunities to improve patient care. Here, we evaluated several novel, self‐administered, home‐based, digital endpoints for their association with corresponding conventional standard clinical measures (primary) in ...
Arne Mueller, Vanessa Vallejo, Mónica Povedano Panadés, Orla Hardiman, Véronique Danel‐Brunaud, Senda Ajroud‐Driss, Philippe Couratier, Jeremy Shefner, Anna Gokey, Mike DiCesare, Erin Lennox, Jens Praestgaard, Lucie Brujin, Peggy Allred, Ram Miller   +14 more
wiley   +1 more source