**Simultaneous Real Eigenvalue Embedding in Second Order Systems **
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here

To directly go to the computer program, click
here.

Given matrices

where (*compatibility equation*)
we calculate matrices and , together with
diagonal matrices , , e , such that
the matrices of the symmetric model
,
given by
satisfy the *updating equation*
and the *no spill-over equation*
where
stands for any set (generally unknown) of
eigenvalues - eigenvectors, which are not included in the updating.
Here, we provide an computer program to compute the set of
updating matrix parameters
. Once given the
input data corresponding to matrices
, and , the quantity

is computed, in order to validate the compatibility equation.
Here
we provide a computer program to perform the simultaneous embedding.

Joao Carvalho
2005-08-16