This article is cited in 2 papers

Papers published in the English version of the journal

Explicit Formulas for the Matrix Logarithm and the Principal Matrix Logarithm

M. Mouçouf, S. Zriaa

Faculty of Science, Department of Mathematics, University Chouaib Doukkali, Eljadida, Morocco

Abstract: We present new closed-form formulas for the matrix logarithm. Our method is direct and elementary, and it gives tractable and manageable formulas not current in the extensive literature on this essential subject. Using these results, an elegant explicit formula for the principal matrix logarithm can be obtained. Several special cases and examples are stated to illustrate the method presented in this paper.

Keywords: matrix logarithm, matrix power, eigenvalue, polynomials.

Received: 20.10.2022

Language: English

 English version: Mathematical Notes, 2023, 113:3, 406–413

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