This is a preview. Log in through your library . Abstract In this paper we consider estimating the rank of an unknown symmetric matrix based on a symmetric, asymptotically normal estimator of the ...

Symmetric matrices of huge size with many zero entries, called sparse symmetric matrices, are nowadays studied actively in the context of artificial intelligence and data science. One of the efficient ...

We succeed to introduce a general structure of symmetric matrices which unifies the theroy of graphical model and the theory of homogeneous cones. Based on this discovery, we will evaluate, improve ...

This article gives a formal definition of a lognormal family of probability distributions on the set of symmetric positive definite (SPD) matrices, seen as a matrix-variate extension of the univariate ...

Technical Terms Positive Definite Matrix: A symmetric (or Hermitian) matrix with all eigenvalues positive, ensuring properties such as stability and invertibility.