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2016-04-12 19:22:23 +0200 | asked a question | Bug in eigenmatrix command? I'm new to sage, so this might be my bad, but I think there is a mismatch between complex conjugate eigevector/values in what the eigenmatrix_right() returns: In my case: D has two (almost) purely imaginary complex conjugate eigenvalues. I thought and should be identical, but the complex conjugate eigenvalues are interchanged, so two columns in A1 and A2 differ by a multiple of (-1). In my case things work ok if I interchange D[1][1] and D[2][2]. Am I missing something? |
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2016-04-11 17:54:37 +0200 | commented answer | Eigenvalues/vectors of jacobian matrix as complex numbers Awesome!! I don't know what it was, but this did the trick. The eigenvalues and vectors are computed in a heartbeat with no error messages. |
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2016-04-11 13:04:53 +0200 | asked a question | Eigenvalues/vectors of jacobian matrix as complex numbers Hello, I'm trying to find the eigenvalues and eigenvectors of a jacobian matrix expressed as complex numbers (complex double field?), not an expression (like 1/2 * sqrt(...)...). sorry for the silly question... EDIT: Some more info; I'm studying a dynamical system at an equilibrium point. I would like to get an expression for the eigenvectors and values assosiated with the center eigenspace of a "hopf bifurcation". Here is the code in question: Now if I do something like; I get an lengthy radical expression. And when computing the eigenvectors: I get an error... |