Alexander Laufer 1997 J. Phys. A: Math. Gen. 30 5455 doi:10.1088/0305-4470/30/15/029
The exponential map of GL( N)
Alexander Laufer
Show affiliationsA finite expansion of the exponential map for a 
matrix is presented. The method uses the Cayley - Hamilton theorem for writing the higher matrix powers in terms of those for the first N - 1. The resulting sums over the corresponding coefficients are rational functions of the eigenvalues of the matrix.
- PACS
- MSC
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17Bxx Lie algebras and Lie superalgebras (For Lie groups, see 22Exx)
- Subjects
- Dates
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Issue 15 (7 August 1997)
Received 13 December 1996, in final form 15 May 1997
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The exponential map of GL( N)
Alexander Laufer 1997 J. Phys. A: Math. Gen. 30 5455
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