Real powers and logarithms of matrices

Document Type : Research Article

Authors

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

2 Department of Mathematics, Farhangian University

Abstract

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.

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