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Bound estimates of the eigenvalues of matrix polynomials

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Abstract

In this paper we prove some results concerning the bound estimates of the eigenvalues of a matrix polynomial. This in particular include the results earlier proved by Dehmer and Killian [On bounds for the zeros of univariate polynomials,World Academy of Science, Engineering and Technology, 26 (2007)] for the location of zeros of polynomials.

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Acknowledgements

We are highly thankful to the referee for his constructive feedback and valuable comments.

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Authors and Affiliations

  1. Department of Mathematics, Central University of Kashmir, Ganderbal, 191201, India

    Z. B. Monga & W. M. Shah

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  1. Z. B. Monga
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  2. W. M. Shah
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Correspondence to Z. B. Monga.

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Communicated by S. Ponnusamy.

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Monga, Z.B., Shah, W.M. Bound estimates of the eigenvalues of matrix polynomials. J Anal 31, 2973–2983 (2023). https://doi.org/10.1007/s41478-023-00633-z

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  • DOI: https://doi.org/10.1007/s41478-023-00633-z

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