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Explicit formula for positive integer powers of k-tridiagonal Toeplitz matrices

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Abstract

As a generalization of the tridiagonal matrices, k-tridiagonal matrices have been attracted much attention in the last few years. In this paper, we present an explicit expression for the arbitrary positive integer powers of k-tridiagonal matrices with Toeplitz structure. Two numerical examples are given to demonstrate the validity of the proposed results.

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Acknowledgements

This work was supported by the Natural Science Foundation of China (NSFC) under grant 11601408 and the Fundamental Research Funds for the Central Universities under grant JB210720.

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Correspondence to Ji-Teng Jia.

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Jia, JT., Wang, J., He, Q. et al. Explicit formula for positive integer powers of k-tridiagonal Toeplitz matrices. J. Appl. Math. Comput. 69, 811–822 (2023). https://doi.org/10.1007/s12190-022-01774-3

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  • DOI: https://doi.org/10.1007/s12190-022-01774-3

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