Results 1 to 3 of 3

Math Help - Eigenvalue proof

  1. #1
    Newbie
    Joined
    Oct 2010
    Posts
    2

    Eigenvalue proof

    Please remove
    Last edited by gthoren; October 5th 2010 at 05:44 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Quote Originally Posted by gthoren View Post
    I have bee asked to show that for the eigenvalue problem:

    eta e= lamda(eta) e

    Show that:
    lamda(eta) = ( lamda(b) -1 )/(2lamda(b))

    where eta = Eularian strain tensor = 1/2(I-inv(B))
    lamda(eta) = eigenvalues of eta
    e = eigenvector of eta

    B = left cauchy-Green tensor
    lamda(b) = eigenvalues of B

    I don't really know where to start. I've come up with this so far:

    inv(B)e = (1-2lamda(eta))e

    Any tips what to do?

    Thanks!

    I think it's pretty hard to understand your symbols: either you write in LaTeX, or else call E instead "eta", w instead lambda or the like.

    Tonio
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2010
    Posts
    2
    solved
    Last edited by gthoren; October 5th 2010 at 04:45 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Eigenvalue proof.
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: November 24th 2010, 11:57 PM
  2. Eigenvalue proof
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: May 17th 2010, 11:03 AM
  3. help with eigenvalue proof
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: May 6th 2009, 11:26 PM
  4. Eigenvalue Proof
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 23rd 2009, 12:59 PM
  5. Eigenvalue proof
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: March 23rd 2009, 08:20 PM

/mathhelpforum @mathhelpforum