The square root of a number N is to be obtained by applying the Newton Raphson iterations to the equation x 2 - N = 0, if i denotes the iteration index, the correct iterative scheme will be

Correct Answer is : xi+1 = (xi + N/xi)/2

GATE Civil Engineering (CE) 2011 Solved Paper

Question : 12 of 65

Marks: +1, -0

The square root of a number N is to be obtained by applying the Newton Raphson iterations to the equation x² - N = 0, if i denotes the iteration index, the correct iterative scheme will be

x_i+1 = (x_i + N/x_i)/2
x_i+1 = (x²i + N/x²i)/2
xi+1 = (xi + N²/xi)/2
xi+1 = (xi - N/xi)/2

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