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Math Help - nonlinear systems of equations

  1. #1
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    nonlinear systems of equations

    Need help with steps to the answer
    Solve the following nonlinear system
    3x - cos(yz) - 1/2 = 0
    x^2-81(y+0.1)^2 + sin z+1.06 = 0<br />
    e^{-xy}+20z + (10\pi - 3)/3 = 0<br />

    x^{(0)}= 0.1 y^{(0)}= 0.1  z^{(0)}= -0.1<br />
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by wantanswers View Post
    Need help with steps to the answer
    Solve the following nonlinear system
    3x - cos(yz) - 1/2 = 0
    x^2-81(y+0.1)^2 + sin z+1.06 = 0<br />
    e^{-xy}+20z + (10\pi - 3)/3 = 0<br />

    x^{(0)}= 0.1 y^{(0)}= 0.1 z^{(0)}= -0.1<br />
    You do know Newton-Raphson for a system don't you?

    X_{n+1}=X_n-[J(X_{n-1})]^{-1}F(X_n)

    where X_n is a column vector as is F(X_n) and J(X_n) is the Jacobian of F at X_n.

    CB
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