% positive definite matrix of size nxn. % Output: A positive definite matrix X of size nxn which is a Karcher mean % of the m matrices in A, that is, X minimizes the sum of squared ...
The Hermitian pair (A,B) is called definite if some real linear combination of the matrices A and B is a positive definite matrix. There are several reasons why it is important to detect whether a ...
Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal. Department of Mathematics, Faculty of Science and Technology, ...
Abstract: In recent years, there has been an enormous interest in developing methods for the approximation of manifold-valued functions. In this paper, we focus on the manifold of symmetric ...
Abstract: Positive is the important hypotheses of many financial forecasting models, but the correlation coefficient matrix we get from actual samples are not always positive. Firstly, we introduced ...