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Translate the following code to java with comments x0 = 1 # The initial guess f(x) = x^2 - 2 # The function whose root
Translate the following code to java with comments
x0 = 1 # The initial guess f(x) = x^2 - 2 # The function whose root we are trying to find fprime(x) = 2 * x # The derivative of the function tolerance = 10^(-7) # 7 digit accuracy is desired epsilon = 10^(-14) # Do not divide by a number smaller than this maxIterations = 20 # Do not allow the iterations to continue indefinitely solutionFound = false # Have not converged to a solution yet for i = 1:maxIterations y = f(x0) yprime = fprime(x0) if abs(yprime) < epsilon # Stop if the denominator is too small break end global x1 = x0 - y/yprime # Do Newton's computation if abs(x1 - x0) <= tolerance # Stop when the result is within the desired tolerance global solutionFound = true break end global x0 = x1 # Update x0 to start the process again end if solutionFound println("Solution: ", x1) # x1 is a solution within tolerance and maximum number of iterations else println("Did not converge") # Newton's method did not converge end
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