# Computational Techniques for Real Logarithms of Matrices

@article{Dieci1996ComputationalTF, title={Computational Techniques for Real Logarithms of Matrices}, author={Luca Dieci and Benedetta Morini and Alessandra Papini}, journal={SIAM J. Matrix Analysis Applications}, year={1996}, volume={17}, pages={570-593} }

In this work, we consider computing the real logarithm of a real matrix. We pay attention to general conditioning issues, provide careful implementation for several techniques including scaling issues, and finally test and compare the techniques on a number of problems. All things considered, our recommendation for a general purpose method goes to the Schur decomposition approach with eigenvalue grouping, followed by square roots and diagonal Padé approximants of the diagonal blocks… CONTINUE READING

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## Evaluating Padé Approximants of the Matrix Logarithm

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## Theoretical and numerical considerations about Padé approximants for the matrix logarithm

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## Conditioning and Padé Approximation of the Logarithm of a Matrix

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## Helton, \Logarithms of matrices

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