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On the logarithms of circulant matrices. (English) Zbl 1287.65037

The logarithms of circulant, quasi-skew circulant and Hermitian circulant matrices are investigated. The particular structure of these matrices is then exploited to derive algorithms for computing their logarithms. These algorithms have the advantage of requiring less computations than the standard inverse scaling and squaring method.

MSC:

65F60 Numerical computation of matrix exponential and similar matrix functions
15A16 Matrix exponential and similar functions of matrices
65F35 Numerical computation of matrix norms, conditioning, scaling
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