Help required regding Eigenvectors
Hello All, I have been encountering some strange problems with the calculation of eigen vectors using python. The problem is with the sign of the eigen vectors calculated. On Very few occasions the eigen vectors calculated using python have an opposite sign than the actual eigenvectors, though the magnitude is correct. Can any one of you plz help me in this regard and suggest me some solution if you have encoutered similar problems . Any help in this regd is appreciated Thanks in Advace regds Sudheer
Sudheer Phani wrote:
Hello All,
I have been encountering some strange problems with the calculation of eigen vectors using python. The problem is with the sign of the eigen vectors calculated. On Very few occasions the eigen vectors calculated using python have an opposite sign than the actual eigenvectors, though the magnitude is correct.
Eigenvectors are defined only up to a scalar normalization constant. What do you mean exactly by opposite sign? If x is an eigenvector for A*x = s*x (s being the eigenvalue) then obviously A*(-x) = s*(-x) so -x is also an eigenvector with the same eigenvalue (or a.x for a being any scalar). Best, f
Sudheer Phani <bpsu <at> james.hut.fi> writes:
Hello All,
I have been encountering some strange problems with the calculation of eigen vectors using python. The problem is with the sign of the eigen vectors calculated. On Very few occasions the eigen vectors calculated using python have an opposite sign than the actual eigenvectors, though the magnitude is correct.
Can any one of you plz help me in this regard and suggest me some solution if you have encoutered similar problems .
Any help in this regd is appreciated
Thanks in Advace
regds Sudheer
I had a similar experience. However, I solved it when I realized that the eig routine in scipy.linalg does not necessarily return the biggest eigenvalue/eigenvector first. It often does, but not always. Once I realized I had to find the biggest one on my own, the problem was solved.
On Tue, Sep 21, 2010 at 11:28 AM, Andrew Dessler <adessler@tamu.edu> wrote:
Sudheer Phani <bpsu <at> james.hut.fi> writes:
Hello All,
I have been encountering some strange problems with the calculation of eigen vectors using python. The problem is with the sign of the eigen vectors calculated. On Very few occasions the eigen vectors calculated using python have an opposite sign than the actual eigenvectors, though the magnitude is correct.
Can any one of you plz help me in this regard and suggest me some
solution
if you have encoutered similar problems .
Any help in this regd is appreciated
Thanks in Advace
regds Sudheer
I had a similar experience. However, I solved it when I realized that the eig routine in scipy.linalg does not necessarily return the biggest eigenvalue/eigenvector first. It often does, but not always. Once I realized I had to find the biggest one on my own, the problem was solved.
Note that eigen vectors don't *have* a sign and this is the case even if they are normalized. It is always possible to multiply them by +/- 1, or even by a complex number of magnitude 1 if you are working with complex arrays. Chuck
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participants (5)
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Andrew Dessler
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Charles R Harris
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Fernando Perez
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pcomprais@gmail.com
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Sudheer Phani