Square roots of 3×3 matrices

We find square roots of a complex-valued matrix A 3 × 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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Bibliographic Details
Published in:Calcolo 2017-09, Vol.54 (3), p.643-656
Main Authors: Ashkartizabi, Mehdi, Aminghafari, Mina, Mohammadpour, Adel
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Numerical Analysis
Theory of Computation
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Online Access:Get full text
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Description
Summary:We find square roots of a complex-valued matrix A 3 × 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.
ISSN:0008-0624
1126-5434
DOI:10.1007/s10092-016-0202-3