Hostname: page-component-65b85459fc-9zwhw Total loading time: 0 Render date: 2025-10-19T19:11:24.892Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

Information

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

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