%0 Journal Article
%T Real powers and logarithms of matrices
%J Journal of the Iranian Mathematical Society
%I Iranian Mathematical Society
%Z 2717-1612
%A Mirzapour, F.
%A Eskandari, R.
%D 2023
%\ 07/01/2023
%V 4
%N 2
%P 95-104
%! Real powers and logarithms of matrices
%K Matrix
%K Power
%K logarithm
%R 10.30504/jims.2023.385127.1088
%X We define the logarithm function and the power function for matrices. Additionally, we investigate further properties of the logarithm and power functions. Utilizing the sign function, we propose a novel approach to representing the power function. Furthermore, we compute the power function for various types of matrices, including Hermitian, orthogonal, and symmetric matrices.
%U https://jims.ims.ir/article_172664_f1ec15f62c2f405d451a0e4e4a585f95.pdf