Generalized polar decompositions for the approximation of the matrix exponential

SIAM Journal on Matrix Analysis and Applications

Volumn 23, Issue 3, 2002, Pages 840-862

  Zanna, Anto ^a   Munthe Kaas, Hans Z ^a  

^a UNIVERSITY OF BERGEN   (Norway)

Author keywords

Lie algebra; Lie group integrator; Matrix exponential

Indexed keywords

EID: 0036018628     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479800377551     Document Type: Article

References (25)

1. The exponential map for the conformal group O(2,4)
2. Lectures on Lie groups and Lie algebras
3. Methods for the approximation of the matrix exponential in a Lie-algebraic setting
4. Approximating the exponential from a Lie algebra to a Lie group
5. On Krylov subspace approximations to the matrix exponential operator
6. Lie-group methods
7. Polar and Ol'shanskii decompositions
8. Closed forms for the exponential mapping on matrix Lie groups based on Putzer's method
9. Nineteen dubious ways to compute the exponential of a matrix
10. Generalized polar decompositions on Lie groups with involutive automorphisms
11. Numerical integration of differential equations on homogeneous manifolds
12. Analysis of some Krylov subspace approximations to the matrix exponential operator
13. A splitting method for the calculation of the matrix exponential
14. Lie groups, Lie algebras, and their representation
15. Numerical computation of the matrix exponential with accuracy estimate
16. Construction of higher order symplectic integrators