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I have anon-linearfunction [tex]F: \Re^{3}\rightarrow\Re[/tex]. I would like to find the roots of this equation numerically, since an explicit formula cannot be derived.

As far as I am aware Newton's method can only be utilized when the domain and the range of the function are of the same degree. (i.e. [tex]F: \Re^{n}\rightarrow\Re^{n}[/tex])

Is there a method that can used for the case[tex]F: \Re^{n}\rightarrow\Re^{m}[/tex] with [tex]m \neq n[/tex]?

Thanks in advance,

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# Root of Non-Linear Eqn (Numerical Method)

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