Real powers and logarithms of matrices

Document Type : Research Article


1 Department of Mathematics, Faculty of science, University of Zanjan, Zanjan, Iran.

2 Department of Mathematics, Farhangian University


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.


Main Subjects

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