Re: orthonormal eigenvectors
- To: mathgroup at smc.vnet.net
- Subject: [mg67616] Re: [mg67576] orthonormal eigenvectors
- From: tkghosh <tkghosh at mp.okayama-u.ac.jp>
- Date: Sun, 2 Jul 2006 06:27:43 -0400 (EDT)
- References: <200607010912.FAA20405@smc.vnet.net> <024C3AAB-F15C-41D1-8357-BF61A00C9252@mimuw.edu.pl>
- Sender: owner-wri-mathgroup at wolfram.com
Thanks for your reply and sorry for not giving an example.
I am giving here a simple example of 6 X 6 matrix, although the
actual matrix is 11 X 11 matrix.
Suppose 6 X 6 matrix is the following:
M = {{306.25, -306.25, 0, 0, 0, 0},{-102.083, 310.25, -204.167, 0, 0, 0},
{0, -122.5, 318.25, -183.75, 0, 0}, {0, 0, -131.25, 330.25, -175.,0},
{0, 0, 0, -136.111, 346.25, -170.139}, {0, 0, 0, 0, -139.205, 366.25}}
{w, v} = Eigensystem[M]; (* "w" is the Eigenvalues and "v" Eigenvectors *)
v[[6]].v[[5]] = -0.57199
v[[6]].v[[3]] = 0.327911
v[[6]].v[[1]] = -0.15311
It cleary shows that the vectors are not orthogonal.
However, these vectors are normalized.
You are correct that the matirx M has a pecuiliar shape and
I must use some other subtle method to compute them. Do not
know what method is most suitable.
Do you have any idea how to solve that kind of matrix (M) and
how to get an orthogonal vectors?
Any help is welcome.
Thanking you again.
Tarun
- References:
- orthonormal eigenvectors
- From: tkg <tkghosh@mp.okayama-u.ac.jp>
- orthonormal eigenvectors