Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 6, Problem 21P

The function x 3 2 x 2 4 x + 8 has a double root at x = 2 . Use (a) the standard Newton-Raphson [Eq. (6.6)], (b) the modified Newton-Raphson [Eq. (6.12)], and (c) the modified Newton-Raphson [Eq. (6.16)] to solve for the root at x = 2 . Compare and discuss the rete of convergence using an initial guess of x 0 = 1.2 .

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Numerical Methods for Engineers

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