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| HELP: Matrix A can be diagnolized, and the basis of eigenve https://www.singular.uni-kl.de/forum/viewtopic.php?f=10&t=1784 |
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| Author: | ber [ Thu Nov 05, 2009 6:06 pm ] |
| Post subject: | HELP: Matrix A can be diagnolized, and the basis of eigenve |
I have the following problem: Given a matrix A defined ring r = 0, (x, y, z), dp; that has its VAPs in an extension of the base of coefientes. How can I get the diagonalization of A? And this matrix diagonal and the basis of eigenvectors? |
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| Author: | greuel [ Thu Jan 07, 2010 6:01 pm ] |
| Post subject: | Re: HELP: Matrix A can be diagnolized, and the basis of eigenve |
If I understand the question correct, the following should work: Load the libraries absfact.lib and linalg.lib, compute the charcteristic polynomial p with e.g. charpoly, Use the command to absFactorize to find the splitting field of p, create a ring over the splitting field and map your matrix to this ring, then use linear algebra from linalg.lib, e.g. jordanmatrix. Hope this helps |
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