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

Mean value theorem

  1. Aug 3, 2005 #1
    Can someone help me... i need to show, that a system of 2 nonlinear equations
    has a root. I think it is possible to use something like "mean value theorem". But i can not find any mean value theorem for R^n -> R^n.
     
  2. jcsd
  3. Aug 3, 2005 #2

    matt grime

    User Avatar
    Science Advisor
    Homework Helper

    the mean value theorem is not true in multiple dimensions, and unless you can be more specific your problem as stated is false, there is no real solution to

    x^2+y^2=1

    irrespective of the second equation over R, so are you talking about C?
     
  4. Aug 3, 2005 #3

    VietDao29

    User Avatar
    Homework Helper

    Hmmm, ... Yes, it does... x = 0, y = 1 is one example.
    The one does not have real root is x^2 + y^2 = -1.
    Viet Dao,
     
  5. Aug 3, 2005 #4

    matt grime

    User Avatar
    Science Advisor
    Homework Helper

    sorry, meant it to be -1 not 1.
     
  6. Aug 3, 2005 #5
    correction resp. specification

    I have two equations (nonlinear) with two variles. With some aproximative methods I get some potential roots (but not exact), so i know (or hope) there are some.
    I need to show, that there exists at least one root.
    I thought that somethinq like mena value theorem could help.

    In attachment are equations and also the potential roots.
    (the root x=0 and y=0 is trivial, but i need some other)
     

    Attached Files:

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Mean value theorem
  1. The Mean Value Theorem (Replies: 3)

Loading...