Exponentials of skew-symmetric matrices and logarithms of orthogonal matrices

@article{Cardoso2010ExponentialsOS,
  title={Exponentials of skew-symmetric matrices and logarithms of orthogonal matrices},
  author={Jo{\~a}o R. Cardoso and Fatima Silva Leite},
  journal={J. Computational Applied Mathematics},
  year={2010},
  volume={233},
  pages={2867-2875}
}
Two widely used methods for computing matrix exponentials and matrix logarithms are, respectively, the scaling and squaring and the inverse scaling and squaring. Both methods become effective when combined with Padé approximation. This paper deals with the computation of exponentials of skew-symmetric matrices and logarithms of orthogonal matrices. Ourmain… CONTINUE READING