QUESTION (EigenVectors)

*To*: mathgroup at smc.vnet.net*Subject*: [mg19369] QUESTION (EigenVectors)*From*: clangis at chat.carleton.ca (Christian Langis)*Date*: Fri, 20 Aug 1999 23:09:43 -0400*Sender*: owner-wri-mathgroup at wolfram.com

Hi there. I am a a computer science student; and that is probably why this question may seem deprived of any chalenge to you. But it is quite challenging to me. The question is: how do you extract the 1st EigenVector from a 3x3 matrix (and optionally 2nd and 3rd)? I read a solution which forces the person to extract the 3 roots of a 3rd degree polynomial. And this has to be done by hand of course. Hence, it is possible to compute that manually. But I am rather looking for an algorithm do carry this task, a solution which does not involve any manual evaluation (such as root extraction). Therefore do you know any algorithm/source code to do that (or know where to find it)? thanks