[scilab-Users] Solving B=inv(X)*A*X

[Stéphane Mottelet]

Le 03/05/2010 13:33, Denis Crete a écrit :
> Hello,
> I want to solve for X
>
> B = inv(X)*A*X
>
> where A and B are given symmetric complex matrices.
>
> I understand that there are solutions for only special cases, but as 
> they originate from a physical problem, I know there should be a 
> solution (although certainly approximate...)
>
> I could not figure out what function of Scilab I should use and how. I 
> tried "balanc", "bdiag", "equil", "spec"; but none seems to be 
> appropriate.
> Thank you very much in advance.
> Denis Crété
Hi,

here is the solution of a closely related problem (find X s.t. XB+AX=C)

http://aero-comlab.stanford.edu/Papers/jameson_007.pdf

S.