The Mostow decomposition theorem states: Let $Z$ a nonsingular complex matrix, then $Z$ can be factored as: $$Z=We^{iK}e^S$$ where: $W$ is unitary, $K$ is real and skew symmetric and $S$ is real and symmetric. Given a complex matrix $Z$ how is it possible to find $K,S,W$? Thanks
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1$\begingroup$ This looks like a variant of the polar decomposition of a matrix: en.wikipedia.org/wiki/Polar_decomposition $\endgroup$– Christian RemlingCommented Jul 20, 2016 at 17:50
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Check this paper. It gives a way of explicitly determining these factors. http://www.sciencedirect.com/science/article/pii/S0024379513005612
