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positive_definite_karcher_mean.m

% 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 ...
Scientific Research Publishing

A Matrix Inequality for the Inversions of the Restrictions of a Positive Definite Hermitian Matrix ()

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, ...
IEEE

Approximation schemes for functions of positive-definite matrix values

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 ...
IEEE

Nonsmooth Newton's method for positive semi definite solution of nonlinear matrix equations

Abstract: In this paper, we propose a new method for solving conic constrained nonlinear matrix equations. With the use of the orthogonal projection onto the positive semi-definite cone of matrices, ...