The function x3 2x2 4x + 8 has a double root at x = 2.

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The function x3 – 2x2 – 4x + 8 has a double root at x = 2. Use

(a) The standard Newton-Raphson [Eq. (6.6)],

(b) The modified Newton-Raphson [Eq. (6.9a)], and

(c) The modified Newton-Raphson [Eq. (6.13)] to solve for the root at x = 2. Compare and discuss the rate of convergence using an initial guess of x0 = 1.2.

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Numerical Methods For Engineers

ISBN: 9780071244299

5th Edition

Authors: Steven C. Chapra, Raymond P. Canale

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Question Posted: Nov 17, 2011 10:43 AM

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The function x3 2x2 4x + 8 has a double root at x = 2.

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As indicated by the following plot a double root is located at x 2 a The standard NewtonRaphson meth...View the full answer

Numerical Methods For Engineers

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