40. It is easy to check that f(x) = x - 4x has two roots. Find these two roots using Newton's method In+1 = I, - f(xn)/f'(xn). (11) If you can find only one root, explain why? [Hint: First write the Newton's iteration formula, then use different initial values I0 = 1 and then ro =-1 to see if you can get two different roots.
40. It is easy to check that f(x) = x - 4x has two roots. Find these two roots using Newton's method In+1 = I, - f(xn)/f'(xn). (11) If you can find only one root, explain why? [Hint: First write the Newton's iteration formula, then use different initial values I0 = 1 and then ro =-1 to see if you can get two different roots.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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