Real powers and logarithms of matrices
نویسندگان
1 Department of Mathematics, Faculty of science, University of Zanjan, Zanjan, Iran.
2 Department of Mathematics, Farhangian University
doi
10.30504/jims.2023.385127.1088چکیده
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.
