Results 1 to 10 of about 294,893 (309)

Information Submanifold Based on SPD Matrices and Its Applications to Sensor Networks

Entropy, 2017
In this paper, firstly, manifoldPD(n)consisting of alln×nsymmetric positive-definite matrices is introduced based on matrix information geometry; Secondly, the geometrical structures of information submanifold ofPD(n)are presented including metric ...
Hao Xu, Huafei Sun, Aung Naing Win
doaj   +1 more source

Adaptation of Symmetric Positive Semi-Definite Matrices for the Analysis of Textured Images

Cybernetics and Information Technologies, 2018
This paper addresses the analysis of textured images using the symmetric positive semi-definite matrix. In particular, a field of symmetric positive semi-definite matrices is used to estimate the structural information represented by the local ...
Akl Adib
doaj   +1 more source

A generalization of the graph Laplacian with application to a distributed consensus algorithm

International Journal of Applied Mathematics and Computer Science, 2015
In order to describe the interconnection among agents with multi-dimensional states, we generalize the notion of a graph Laplacian by extending the adjacency weights (or weighted interconnection coefficients) from scalars to matrices.
Zhai Guisheng
doaj   +1 more source

Even-Order Pascal Tensors Are Positive-Definite

Mathematics
In this paper, we show that even-order Pascal tensors are positive-definite, and odd-order Pascal tensors are strongly completely positive. The significance of these is that our induction proof method also holds for some other families of completely ...
Chunfeng Cui, Liqun Qi, Yannan Chen
doaj   +1 more source

Approximation of the pth Roots of a Matrix by Using Trapezoid Rule

International Journal of Mathematics and Mathematical Sciences, 2012
The computation of the roots of positive definite matrices arises in nuclear magnetic resonance, control theory, lattice quantum chromo-dynamics (QCD), and several other areas of applications.
Amir Sadeghi, Ahmad Izani Md. Ismail
doaj   +1 more source

Geostatistical modeling of positive-definite matrices: An application to diffusion tensor imaging. [PDF]

Biometrics, 2022
Lan Z, Reich BJ, Guinness J, Bandyopadhyay D, Ma L, Moeller FG.   +5 more
europepmc   +1 more source

A Determinantal Inequality for Positive Definite Matrices [PDF]

Canadian Mathematical Bulletin, 1961
Let H = (Hi, j) (1 ≦ i, j ≦ n) be an nk × nk matrix with complex coefficients, where each Hi, j is itself a k × k matrix (n, k ≧ 2). Let |H| denote the determinant of H and let ∥H∥ = |(|H i, j|)| (1 ≦ i, j ≦ n ). The purpose of this note is to prove the following theorem.Theorem. If H is positive definite Hermitian then |H| ≦∥H∥. Moreover, |H| = ∥H∥ if
openaire   +2 more sources

SPD-CNN: A plain CNN-based model using the symmetric positive definite matrices for cross-subject EEG classification with meta-transfer-learning. [PDF]

Front Neurorobot, 2022
Chen L, Yu Z, Yang J.
europepmc   +1 more source

Riemannian Gaussian distributions on the space of positive-definite quaternion matrices

, 2017
Recently, Riemannian Gaussian distributions were defined on spaces of positive-definite real and complex matrices. The present paper extends this definition to the space of positive-definite quaternion matrices.
Bihan, Nicolas Le, Manton, Jonathan H., Said, Salem   +2 more
core  

A generalization of a trace inequality for positive definite matrices

, 2010
In this note we generalize the trace inequality derived by [1] to the case where the number of terms of the sum (denoted by K) is ...
Belmega, E. V., Jungers, M., Lasaulce, S.   +2 more
core   +2 more sources