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Math Help - Newton-Raphson Derivation

  1. #1
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    Newton-Raphson Derivation

    Hey guys. Not sure this is the right sub-from, but there is not a specific section for Numerical Methods. Hopefully you guys can help me out.

    "Consider wanting the roots to two equations. Specifically, your equations are:
    f(x,y)=0
    g(x,y)=0
    In short, you want the values of {x,y}T that simultaneously render f and g equal to zero.

    Question 1: Write a Taylor Series for f and g in the unknowns (truncating after the first derivative) and determine the equation(s) that must be solved to obtain the new update to your guess. In other words, derive the equation(s) that have to be solved to give you the updated estimate of the root: {xk+1,yk+1}T."
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by CrashDummy11 View Post
    Hey guys. Not sure this is the right sub-from, but there is not a specific section for Numerical Methods. Hopefully you guys can help me out.

    "Consider wanting the roots to two equations. Specifically, your equations are:
    f(x,y)=0
    g(x,y)=0
    In short, you want the values of {x,y}T that simultaneously render f and g equal to zero.

    Question 1: Write a Taylor Series for f and g in the unknowns (truncating after the first derivative) and determine the equation(s) that must be solved to obtain the new update to your guess. In other words, derive the equation(s) that have to be solved to give you the updated estimate of the root: {xk+1,yk+1}T."
    So where is the Taylor series, you should at least be able to start with that?

    CB
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