class NewtonRaphson extends AnyRef
The NewtonRaphson
class is used to find roots (zeros) for a one-dimensional
(scalar) function 'g'. Depending on the FunctionSelector, it can find zeros
for derivatives or finite differences, which may indicate optima for function 'g'.
Also, for optimization, may pass the derivative of the function, since finding
zeros for the derivative corresponds to finding optima for the function.
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new
NewtonRaphson(g: FunctionS2S, root: FunctionSelector = Function, eta: Double = 0.5)
- g
the function to find roots/optima of
- root
find the root for function, derivative or finite difference
- eta
the learning rate
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def
solve(x0: Double, df: FunctionS2S): Double
Solve for/find a root close to the starting point/guess 'x0'.
Solve for/find a root close to the starting point/guess 'x0'. This version passes in a function for the derivative.
- x0
the starting point/guess
- df
the derivative of the function
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def
solve(x0: Double): Double
Solve for/find a root close to the starting point/guess 'x0'.
Solve for/find a root close to the starting point/guess 'x0'. This version numerically approximates the derivative.
- x0
the starting point/guess
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