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### ERROR IN COMPUTATION OF EIGENVALUES IN SAGE

Dear all,

I am trying to compute the eigenvalues of the following matrix

J = matrix ([[-Q1,0,0,0,omega,0,0,0,0,-A1],[0,-Q2,0,0,0,omega,0,0,0,A1],[0,gamma,Q3,0,0,0,omega,0,0,0],[0,0,sigma,-Q1,0,0,0,omega,0,0],[A2,0,0,0,-Q4,0,0,0,0,0],[0,A2,0,0,0,-Q4,0,0,0,0],[0,0,A2,0,0,0,-Q4,0,0,0],[0,0,0,A2,0,0,0,-Q4,0,0],[0,0,-A3,0,0,0,0,0,-mu_v,0],[0,0,A3,0,0,0,0,0,0,-mu_v]]) J

J.eigenvalues()

Unfortunately am getting the following error.

#0: eigenvalues(mat=matrix([-_SAGE_VAR_Q1,0,0,0,_SAGE_VAR_omega,0,0,0,0,-_SA\ GE_VAR_A1],[0,-_SAGE_VAR_Q2,0,0,0,_SAGE_VAR_...) Traceback (click to the left of this block for traceback) ... TypeError: ECL says: Error executing code in Maxima: part: fell off the end.

When I try with numerical values however, I get eigenvalues. My problem involves a matrix with characters and I want to know the nature of the eigenvalues so that I may draw certain conclusions. What should I do in order to compute my eigenvalues without an error. Thank you for support.

 2 No.2 Revision tmonteil 27323 ●31 ●202 ●514 http://wiki.sagemath.o...

### ERROR IN COMPUTATION OF EIGENVALUES IN SAGE

Dear all,

I am trying to compute the eigenvalues of the following matrix

J = matrix
([[-Q1,0,0,0,omega,0,0,0,0,-A1],[0,-Q2,0,0,0,omega,0,0,0,A1],[0,gamma,Q3,0,0,0,omega,0,0,0],[0,0,sigma,-Q1,0,0,0,omega,0,0],[A2,0,0,0,-Q4,0,0,0,0,0],[0,A2,0,0,0,-Q4,0,0,0,0],[0,0,A2,0,0,0,-Q4,0,0,0],[0,0,0,A2,0,0,0,-Q4,0,0],[0,0,-A3,0,0,0,0,0,-mu_v,0],[0,0,A3,0,0,0,0,0,0,-mu_v]])
JJ
J.eigenvalues()J.eigenvalues()


Unfortunately am getting the following error.

#0:

*#0:
eigenvalues(mat=matrix([-_SAGE_VAR_Q1,0,0,0,_SAGE_VAR_omega,0,0,0,0,-_SA\
GE_VAR_A1],[0,-_SAGE_VAR_Q2,0,0,0,_SAGE_VAR_...)
Traceback (click to the left of this block for traceback)
...
TypeError: ECL says: Error executing code in Maxima: part: fell off the
end.end.*


When I try with numerical values however, I get eigenvalues. My problem involves a matrix with characters and I want to know the nature of the eigenvalues so that I may draw certain conclusions. What should I do in order to compute my eigenvalues without an error. Thank you for support.

 3 No.3 Revision vdelecroix 7397 ●19 ●81 ●164 http://www.labri.fr/pe...

### ERROR IN COMPUTATION OF EIGENVALUES IN SAGEError in computation of eigenvalues in Sage

Dear all,

I am trying to compute the eigenvalues of the following matrix

J = matrix
([[-Q1,0,0,0,omega,0,0,0,0,-A1],[0,-Q2,0,0,0,omega,0,0,0,A1],[0,gamma,Q3,0,0,0,omega,0,0,0],[0,0,sigma,-Q1,0,0,0,omega,0,0],[A2,0,0,0,-Q4,0,0,0,0,0],[0,A2,0,0,0,-Q4,0,0,0,0],[0,0,A2,0,0,0,-Q4,0,0,0],[0,0,0,A2,0,0,0,-Q4,0,0],[0,0,-A3,0,0,0,0,0,-mu_v,0],[0,0,A3,0,0,0,0,0,0,-mu_v]])
J

J.eigenvalues()


Unfortunately am getting the following error.

*#0:
eigenvalues(mat=matrix([-_SAGE_VAR_Q1,0,0,0,_SAGE_VAR_omega,0,0,0,0,-_SA\
GE_VAR_A1],[0,-_SAGE_VAR_Q2,0,0,0,_SAGE_VAR_...)
Traceback (click to the left of this block for traceback)
...
TypeError: ECL says: Error executing code in Maxima: part: fell off the
end.*


When I try with numerical values however, I get eigenvalues. My problem involves a matrix with characters and I want to know the nature of the eigenvalues so that I may draw certain conclusions. What should I do in order to compute my eigenvalues without an error. Thank you for support.