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3.8 Pole/Zero Analysis 319
Solve the GEP A B.
Specify initial guesses for
the eigenvectors.
In[6]:= LREigenpair[A, B, −1., InitialGuess −> {{0, 1}, {1, 0}}]
Out[6]=
1.94319, 0.288369, 0.957519,
0.957519, 0.288369, 5.05207 10 10 , 8.70217 10 10 , 4
Use the default projection
vectors.
In[7]:= LREigenpair[A, B, 1., MaxResidual −> 1.*^−15]
Out[7]=
0.514618, 0.992822, 0.1196,
0.1196, 0.992822, 1.24127 10 16 , 1.77722 10 16 , 4
Note that the following setting for ProjectionVectors increases the number of iterations.
Use right eigenvectors as
projection vectors.
In[8]:= LREigenpair[A, B, 1., MaxResidual −> 1.*^−15,
ProjectionVectors −>
{RightEigenvector, RightEigenvector}]
Out[8]=
0.514618, 0.992822, 0.1196,
0.1196, 0.992822, 1.24127 10 16 , 4.47545 10 16 , 5
The setting Tolerance −> 1.0 allows the value of the solution Λ to lie within and times the
value of the initial guess theta0.
Search for an eigenvalue
in the interval
In[9]:= LREigenpair[A, B, −100., Tolerance −> 1.]
LREigenpair::tolx:
Eigenvalue lies outside the specified tolerance region.
Out[9]=
1.94319, 0.288369, 0.957519,
0.957519, 0.288369, 2.70894 10 11 , 4.66522 10 11 , 6
With the default setting Tolerance −> Infinity, any solution of the GEP is accepted without a
warning.
Do not specify a tolerance
region.
Read in a PSpice netlist
and small-signal data.
Set up a system of
symbolic AC equations.
In[10]:= LREigenpair[A, B, −100., Tolerance −> Infinity]
Out[10]=
1.94319, 0.288369, 0.957519,
0.957519, 0.288369, 2.70894 10 11 , 4.66522 10 11 , 6
In[11]:= buffer = ReadNetlist[
"AnalogInsydes/DemoFiles/Buffer.cir",
"AnalogInsydes/DemoFiles/Buffer.out",
Simulator −> "PSpice"]
Out[11]= Circuit
In[12]:= mnabuffersym = CircuitEquations[buffer,
AnalysisMode −> AC, ElementValues −> Symbolic]
Out[12]= DAEAC, 18 18