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Square roots of \({3\times 3}\) matrices

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Abstract

We find square roots of a complex-valued matrix \(A_{3 \times 3}\) using equation \(B^{2}=A\). The proposed method is faster than Higham’s method and provides up to 8 square roots with less relative residual and error.

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Authors and Affiliations

  1. Department of Statistics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Ave, Tehran, 15914, Iran

    Mehdi Ashkartizabi, Mina Aminghafari & Adel Mohammadpour

Authors
  1. Mehdi Ashkartizabi
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  2. Mina Aminghafari
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  3. Adel Mohammadpour
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Correspondence to Mina Aminghafari.

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Ashkartizabi, M., Aminghafari, M. & Mohammadpour, A. Square roots of \({3\times 3}\) matrices. Calcolo 54, 643–656 (2017). https://doi.org/10.1007/s10092-016-0202-3

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  • DOI: https://doi.org/10.1007/s10092-016-0202-3

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