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314 3. Reference Manual
Show the root locus.
In[6]:= RootLocusPlot[rloc, LinearRegionLimit −> Infinity,
PlotRange −> 5.0*^6]
Cbc$Q$T5 = 5.000e-12 .. 5.000e-11 (0% .. 100%)
6
4. 10
Im s
Poles
0%
6
2. 10
6 6
-4. 10 -2. 10
6
-2. 10
6
2. 10
6
4. 10
Re s
100%
Zeros
0%
6
-4. 10
100%
Out[6]= Graphics
3.8.7 LREigenpair
LREigenpair[A, B, theta0]
LREigenpair[dae, theta0]
solves the GEP described by the matrix pencil A B for an
eigenvalue Λ near the initial guess theta0 where A and B
must be real-valued square matrices of equal dimensions
solves the GEP defined by the coefficient matrix of the AC
DAEObject dae for an eigenvalue Λ near theta0
Command structure of LREigenpair.
As an alternative to the QZ algorithm, Analog Insydes provides the function LREigenpair for
solving GEPs iteratively using a variant of the Jacobi orthogonal correction method. This approach is
more efficient and reliable than the QZ algorithm for large GEPs when only one single eigenvalue
is sought. In addition to the eigenvalue, LREigenpair also yields the corresponding left and
right eigenvectors. The argument dae has to be an AC DAEObject written in matrix form (see
CircuitEquations in Section 3.5.1).
If the target eigenvalue is complex, the initial guess theta0 must also be a complex number.
LREigenpair returns a list of the form {{lambda, v, u, r v , r u , iter}}, where lambda, v, and u denote
the calculated eigenvalue and eigenvectors, r v and r u the corresponding L norms of the residual
vectors