Literature
This is all literature mentioned / referenced in the LieGroups.jl documentation. You can find a small reference section at the end of every documentation page that contains the corresponding references as well.
- [AR13]
- D. Andrica and R.-A. Rohan. Computing the Rodrigues coefficients of the exponential map of the Lie groups of matrices. Balkan Journal of Geometry and Its Applications 18, 1–10 (2013).
- [BP08]
- E. Biny and S. Pods. The Geometry of Heisenberg Groups: With Applications in Signal Theory, Optics, Quantization, and Field Quantization (American Mathematical Society, 2008).
- [GX02]
- J. Gallier and D. Xu. Computing exponentials of skew-symmetric matrices and logarithms of orthogonal matrices. International Journal of Robotics and Automation 17, 1–11 (2002).
- [Gil08]
- M. B. Giles. Collected Matrix Derivative Results for Forward and Reverse Mode Algorithmic Differentiation. In: Advances in Automatic Differentiation, Lecture Notes in Computational Science and Engineering, edited by C. H. Bischof, H. M. Bücker, P. Hovland, U. Naumann and J. Utke (Springer, Berlin, Heidelberg, 2008); pp. 35–44.
- [HN12]
- J. Hilgert and K.-H. Neeb. Structure and Geometry of Lie Groups (Springer Monographs in Mathematics, 2012).
- [SDA21]
- J. Solà, J. Deray and D. Atchuthan. A micro Lie theory for state estimation in robotics (Dec 2021), arXiv:1812.01537 [cs.RO], arXiv: 1812.01537.