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!

Homework Help: Newton-Raphson method with two x values

  1. Nov 6, 2005 #1
    Find the value of x1 and x2 that minimize the function f= x1^2 + x2^2 + 10x1 +20x2 +25 . This isn't that difficult of a problem if there was only 1 x value. But how do I do it when it is using x1 and x2?
  2. jcsd
  3. Nov 6, 2005 #2
    Okay I think I might have figured something out. I split the problem up to be f(x1)=x1^2+10x1+5 and f(x2)=x2^2+20x2+25 and then do newton-raphson for each of those functions. Is this correct?
  4. Nov 6, 2005 #3


    User Avatar
    Science Advisor
    Homework Helper

    In this case, it's going to pretty easy since there aren't any terms in the expression for [itex]f(x_1,x_2)[/itex] that involve both [itex]x_1[/itex] and [itex]x_2[/itex] so you can indeed do this one by finding the minimums with respect to [itex]x_1[/itex] and [itex]x_2[/itex].
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook