Re: Error in coprime factorization?

From: Sigurd Skogestad <Sigurd.Skogestad>
Date: Wed Sep 11 1996 - 09:23:43 CEST

Dear Kazuya Sato,

I think the two equations are identical, so there is no error.

The difference between the two equations is in the terms
       S^(-1)D^(T) = (I + D^T D)^(-1) D^T
and
       D^(T)R^(-1) = D^T (I + D D^T)^(-1)
But these are identical, since in general (I+AB)^-1 A = A (I+BA)^-1,
see the push-through rule in eq(3.1).

Best regards,
Sigurd Skogestad
Received on Wed Sep 11 09:23:45 1996

This archive was generated by hypermail 2.1.8 : Tue Jan 20 2004 - 09:32:13 CET