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Matematicheskie Zametki, 2023, Volume 113, Issue 3, paper published in the English version journal (Mi mzm13779)  
This article is cited in 1 scientific paper (total in 1 paper)

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
Citations (1)
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
English version:
Mathematical Notes, 2023, Volume 113, Issue 3, Pages 406–413
DOI: https://doi.org/10.1134/S0001434623030094
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. Mouçouf, S. Zriaa, “Explicit Formulas for the Matrix Logarithm and the Principal Matrix Logarithm”, Math. Notes, 113:3 (2023), 406–413
Citation in format AMSBIB
\Bibitem{MouZri23}
\by M.~Mou{\c c}ouf, S.~Zriaa
\paper Explicit Formulas for the Matrix Logarithm
and the Principal Matrix Logarithm
\jour Math. Notes
\yr 2023
\vol 113
\issue 3
\pages 406--413
\mathnet{http://mi.mathnet.ru/mzm13779}
\crossref{https://doi.org/10.1134/S0001434623030094}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4578304}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85153282264}
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  • https://www.mathnet.ru/eng/mzm13779
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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