multivariate polynomials



Hi,

i am trying to perform diagonalization of a 3x3 matrix, of the form:


     [ e1,  V,  0  ] 
H := [  V, e2,  V ]
     [  0,  V, e3 ] 


which gives rise to a multivariate characteristic polynomial, that  Maxima
fails to compute (here enclosed is the log file).
I wonder is there is a trick to get the work done.


Thank you 

--
Paolo Pumilia


-- enc. ---------

(C1) H : matrix( [ e1, V,   0],  
                 [  V, e2,  V],
                 [  0,  V, e3] );

                                [ e1  V   0  ]
                                [            ]
(D1)                            [ V   e2  V  ]
                                [            ]
                                [ 0   V   e3 ]
(C2) eigenvectors(H);

Warning - you are redefining the MACSYMA function EIGENVALUES
Warning - you are redefining the MACSYMA function EIGENVECTORS
quotient is not exact
#0: EIGENVECTORS(mat=MATRIX([e1,V,0],[V,e2,V],[0,V,e3]))
 -- an error.  Quitting.  To debug this try DEBUGMODE(TRUE);)



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