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}
}
  • Luca Dieci, Benedetta Morini, Alessandra Papini
  • Published in
    SIAM J. Matrix Analysis…
    1996
  • Mathematics, Computer Science
  • 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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