Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Eigen value problem

  1. Sep 5, 2008 #1
    source: http://en.wikipedia.org/wiki/Eigenvalue

    what are directional losses?
    what are its consequences?
  2. jcsd
  3. Sep 5, 2008 #2


    User Avatar
    Homework Helper

    You are misreading the quoted text. There is nothing there about "directional losses", which I should say reminds me of an inefficient engine for some reason. The article says though vectors are often associated with direction, they may not always be and if those concepts which may be interpreted mathematically as directions remain untouched by a linear transformation, they are prefixed with "eigen-".
  4. Sep 5, 2008 #3
    "Direction", in the context of eigenvector and eigenvalues, does not always have its original intuative meaning. It's easy for everyone to understand that the vectors (1,2) and (3,4) have different "directions". You can draw a picture. It's less easy to accept that the functions(vectors) cos(x) and sin(x) have different "directions". Essentially we are [url href="http://en.wikipedia.org/wiki/Operator_overloading"]overloading [Broken][/URL] the english word "direction" to represent concepts far beyond its original scope.
    Last edited by a moderator: May 3, 2017
  5. Sep 5, 2008 #4
    okay. i got it.

    thank you very much guys
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook