1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Power method to rank baseball teams

  1. Mar 31, 2012 #1
    Use the power method to rank the baseball league with the matrix

    { 1, .5, .5}
    {.5, 1, 1/3}
    {.5, 2/3, 1}

    So I choose some random matrix which sum to one so
    let x={.5,.3,.2}^T


    { 1, .5, .5}
    {.5, 1, 1/3} {.5,.3,.2}^T= X[itex]_{1}[/itex]
    {.5, 2/3, 1}

    And I keep repeating this scaling the new x vector. Is there an easier way to do this or does it have to be done with technology?
  2. jcsd
  3. Mar 31, 2012 #2


    User Avatar
    Science Advisor
    Homework Helper

    So you want to compute matrix powers of a vector? The usual way to do this is to find the eigenvalues and eigenvectors of the 3x3 matrix and express the vector as a sum of eigenvectors. If you are just making up the numbers, you might find it's pretty hard to find the eigenvectors, though.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Power method to rank baseball teams
  1. Power series method (Replies: 1)

  2. ODE power series method (Replies: 10)

  3. Power series method (Replies: 2)