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5. Consider the following function: f(x) = xe - 1. (a) () Find solution of f(x) = 0 up to 5 iterations using Newton's method starting with o = 1.5. Keep up to four significant figures.

5. Consider the following function: f(x) = xe - 1. (a) () Find solution of f(x) = 0 up to 5 iterations using Newton's method starting with o = 1.5. Keep up to four significant figures.

Advanced Engineering Mathematics
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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5. Consider the following function: f(x) = xe - 1. (a) ( ) Find solution of f(x) = 0 up to 5 iterations using Newton's method starting with zo = 1.5. Keep up to four significant figures. (b) ( Consider the fixed point function, g(x) = 3 root must satisfy x = - 2 2x + 1 √x+1 Show that to be super-linearly convergent, the
Transcribed Image Text:5. Consider the following function: f(x) = xe - 1. (a) ( ) Find solution of f(x) = 0 up to 5 iterations using Newton's method starting with zo = 1.5. Keep up to four significant figures. (b) ( Consider the fixed point function, g(x) = 3 root must satisfy x = - 2 2x + 1 √x+1 Show that to be super-linearly convergent, the
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