It does NOT require matrix inversion, but rather just solution of a
polynomial equation of degree equal to the rank of the matrix. You
get that polynomial, called the characteristic polynomial, as the
determininant det |A - xI|, where A is the given matrix, I is the
identity matrix, and x is the variable for which to solve to get the
eigenvalues. See any elementary linear algebra text, or, indeed,
google for available routines in any of several languages.
jmf wrote:
···
I need to obtain the eigenvalues of a matrix but I do not how.
Probably, it is very easy but I could not find any information about that.
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Mathematically, it is not a so trivial process, it requires matrix inversion.
The Python module NumPy can do it. Please Google.
Jean-Michel Fauth, Switzerland.
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Or, you can install the SciPy package and use the function 'eigen.'
We need it in our model so I searched for a solution and that's what I
found. Also, you can calculate the eigenvalue and eigenvector of a
symmetrical matrix using Octave, the F/OSS equivalent of MatLab.
Rich
···
On Sat, 12 Aug 2006, Ronald Levine wrote:
It does NOT require matrix inversion, but rather just solution of a
polynomial equation of degree equal to the rank of the matrix. You get
that polynomial, called the characteristic polynomial, as the
determininant det |A - xI|, where A is the given matrix, I is the identity
matrix, and x is the variable for which to solve to get the eigenvalues. See any elementary linear algebra text, or, indeed, google for available
routines in any of several languages.
--
Richard B. Shepard, Ph.D. | The Environmental Permitting
Applied Ecosystem Services, Inc.(TM) | Accelerator
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