Results 1 to 10 of about 5,113,236 (295)

Positive Definiteness via Off-Diagonal Scaling of a Symmetric Indefinite Matrix. [PDF]

Psychometrika, 2011
Indefinite symmetric matrices that are estimates of positive definite population matrices occur in a variety of contexts such as correlation matrices computed from pairwise present missing data and multinormal based theory for discretized variables. This
Bentler PM, Yuan KH.
europepmc   +2 more sources

p-Norm SDD tensors and eigenvalue localization

Journal of Inequalities and Applications, 2016
We present a new class of nonsingular tensors (p-norm strictly diagonally dominant tensors), which is a subclass of strong H $\mathcal{H}$ -tensors.
Qilong Liu, Yaotang Li
doaj   +1 more source

Positive Definite Norm Dependent Matrices In Stochastic Modeling

Demonstratio Mathematica, 2014
Positive definite norm dependent matrices are of interest in stochastic modeling of distance/norm dependent phenomena in nature. An example is the application of geostatistics in geographic information systems or mathematical analysis of varied spatial ...
Kuniewski Sebastian P., Misiewicz Jolanta K.   +1 more
doaj   +1 more source

Weighted Deformed Gram Matrices for Quantum‐Inspired Learning With Applications to Biomedical Signal Analysis

Engineering Reports
This paper introduces a weighted (q,τ)‐deformed Gram matrix framework for quantum‐inspired learning systems, with particular emphasis on applications in biomedical signal analysis.
Rabha W. Ibrahim, Dumitru Baleanu, Soheil Salahshour   +2 more
doaj   +1 more source

The Dirichlet problem successive upper relaxation numerical method convergence relaxation parameters influence investigations

Karpatsʹkì Matematičnì Publìkacìï, 2012
The relaxation parameters values to definite sequential upper relaxation block method convergence optimal velocity have been determined for the Dirichlet's problem in two-dimensional rectangle spatial region, the iteration procedure convergence and ...
Oliynyk A.P., Shtayer L.O.
doaj  

Existence and uniqueness of the solution of the initialboundary value problem for one-dimensional equations of the dynamics of a compressible viscous mixture

Современная математика: Фундаментальные направления
In this paper, an initial-boundary value problem is studied for one-dimensional equations of the dynamics of a compressible viscous mixture. A theorem is proved for the existence and uniqueness of a solution to the initial-boundary value problem without ...
V. Yu. Nogovishcheva, D. A. Prokudin
doaj   +1 more source

Some Remarks on the Gupta–Bleuler and Dirac–Fock Quantization Schemes

Quantum Reports
The classical Gupta–Bleuler quantization scheme in quantum electromagnetic field theory, based on the so-called “weakened” Lorenz subsidiary condition and indefinite metric on the reduced Fock space, is revisited within the context of the canonical Dirac–
Anatolij K. Prykarpatski, Nikolai N. Bogolubov   +1 more
doaj   +1 more source

Eigenvalue Localization for Symmetric Positive Toeplitz Matrices

Axioms
Given a real symmetric matrix, several inclusion and exclusion intervals containing its eigenvalues can be given. In this paper, for symmetric positive Toeplitz matrices, we provide an inclusion interval and, under an additional hypothesis, we also give ...
Juan M. Peña
doaj   +1 more source

Positive semi-definite matrices, exponential convexity for multiplicative majorization and related means of Cauchy's type

Journal of Numerical Analysis and Approximation Theory, 2010
In this paper, we obtain new results concerning the generalizations of additive and multiplicative majorizations by means of exponential convexity. We prove positive semi-definiteness of matrices generated by differences deduced from majorization type ...
Naveed Latif, Josip Pečarić
doaj   +2 more sources

Existence of infinitely many homoclinic orbits for second-order systems involving Hamiltonian-type equations

Electronic Journal of Differential Equations, 2013
We study the second-order differential system $$ ddot u + Adot{u}- L(t)u+ abla V(t,u)=0, $$ where A is an antisymmetric constant matrix and $L in C(mathbb{R}, mathbb{R}^{N^2})$.
Adel Daouas, Ammar Moulahi
doaj