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Homework Statement
Let ##F(x,y)=4sin(xy)+x^3+y^3## Use Newton's method to approximate the critical point that lies near ##(x,y)=(-1,-1)##
Homework Equations
The Attempt at a Solution
I have a problem here because the derivative is not a square matrix. Hence, I can't find the inverse needed for the form $$x_{k}=x_{k-1}-[Df(x_{k-1})]^{-1}f(x_{k-1})$$
In this case, the derivative is zero, not the function, so I think the form above must be modified?
If derivative is zero, I get a form which doesn't make sense, which is ##z-f(x_o,y_o)=0##
Any hints?