Newton Function
public function Newton(f, df, x0, err_x, err_f, max_iter) result(x)
Solves the scalar non-linear equation: using Newton's method.
Arguments
| Type | Intent | Optional | Attributes | Name | ||||||||||||||||
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public function f(x) result(y)function defining the non-linear equation Arguments
Return Value realdependent variable |
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public function df(x) result(y)derivative of function Arguments
Return Value realdependent variable |
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| real, | intent(in) | :: | x0 |
initial aproximation to the solution |
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| real, | intent(in) | :: | err_x |
admisible error in the solution |
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| real, | intent(in) | :: | err_f |
admisible error in the equation |
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| integer, | intent(in) | :: | max_iter |
maximum number of iterations |
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Return Value real
numerical aproximation to the solution