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As usual, the matrix logarithm can be subjected to additive decomposition into instantaneous simMZfa««OMS transformations. The off-diagonal elements of the upper left three-by-three submatrix, which describe elementary rotations, will be identical to those from a corresponding rigid-body model that uses the same rotation angles. The natural logarithm of the global magnification factor will appear in the diagonal elements of this submatrix. These diagonal elements can be partitioned into a global rescaling matrix, the matrix exponential of which describes the instantaneous simMZfa««OMS global rescaling component of the transformation.

For the numerical example exp m

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