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109.50 Functions of the square matrices with distinct nonzero eigenvalues

Published online by Cambridge University Press:  15 October 2025

Mehdi Hassani
Mehdi Hassani*
Affiliation:
Department of Mathematics and Computer Science University of Zanjan University Blvd., 45371-38791, Zanjan, Iran e-mail: mehdi.hassani@znu.ac.ir

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Notes
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The Mathematical Gazette , Volume 109 , Issue 576 , November 2025, pp. 558 - 562
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Copyright
© The Authors, 2025 Published by Cambridge University Press on behalf of The Mathematical Association

References

Bernstein, D. S., Matrix mathematics (theory, facts, and formulas), (2nd edn.), Princeton University Press, Princeton, NJ, 2009.10.1515/9781400833344CrossRefGoogle Scholar
Gantmacher, F. R., The theory of matrices, Volume 1, Amer. Math. Soc., Chelsea Publication, Providence, Rhode Island, 2022.Google Scholar
Golub, G. H. and Van Loan, C. F., Matrix computations, (4th edn.), Johns Hopkins Studies in the Mathematical Sciences, Johns Hopkins University Press, Baltimore, MD, 2013.CrossRefGoogle Scholar
Meyer, C. D., Matrix analysis and applied linear algebra, (2nd edn.), Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2023.Google Scholar
Kantor, I. L. and Trishin, I. M., Formulas for powers and functions of matrices, Linear Algebra Appl., 186 (1993), pp. 1–13.CrossRefGoogle Scholar
Belbachir, H. and Bencherif, F., Linear recurrent sequences and powers of a square matrix, Integers, 6 (2006), Paper A12.Google Scholar
Chanta, N. N. and Rochanakul, P., A combinatorial formula for powers of 3 × 3 matrices and some combinatorial identities, Thai J. Math., 18 (2020) pp. 372–383.Google Scholar
Jódar, L. and Cortés, J. C., Some properties of gamma and beta matrix functions, Appl. Math. Lett., 11 (1998) pp. 89–93.CrossRefGoogle Scholar
Kirillov, J., Power of a 3 × 3 matrix, subgroups and tiling, Integers, 22 (2022), Paper A39.Google Scholar
McLaughlin, J. and Sury, B., Powers of a matrix and combinatorial identities, Integers, 5 (2005), Paper A13.Google Scholar
Williams, K., The th power of a 2 × 2 matrix, Math. Mag., 65 (1992) p. 336.CrossRefGoogle Scholar
Stewart, D. E., Numerical analysis: a graduate course, CMS/CAIMS Books in Mathematics, 4, Springer, Cham, 2022.CrossRefGoogle Scholar