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Calculate the sign function of a matrix Z by using the Green's function?

Posted 9 years ago

I want to calculate the Sign function of a matrix Z by using the Green's matrix function G[t].The above steps will help understanding the problem: 1]Solve G'[t]=ZG[t]+?? Where ? is the Dirac function,I the identity matrix,Z the constant matrix and G[t] which i want. 2] We take the limits limit t->0+G[t]=G[+0] and t->0-G[t]=G[-0] 3]the SignZ=-(G[+0] +G[-0] ). I have already do these steps but one property for SignZ is that (signZ)^2=I. Any opinion ? With Best Regards Dimitrios

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