On the Exponentials of Some Structured Matrices

Details On the Exponentials of Some Structured Matrices On the Exponentials of Some Structured Matrices

2004-07-21

arxiv.org/abs/math-ph/0407042v1

J.Phys. A37 (2004) 11613-11628

Physics

Mathematical Physics

19 pages

Scientific paper

10.1088/0305-4470/37/48/007

In this note explicit algorithms for calculating the exponentials of important structured 4 x 4 matrices are provided. These lead to closed form formulae for these exponentials. The techniques rely on one particular Clifford Algebra isomorphism and basic Lie theory. When used in conjunction with structure preserving similarities, such as Givens rotations, these techniques extend to dimensions bigger than four.

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