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(b) convergent, Consider the fixed point function, g(x) = 2x+1. Show that to be super-linearly √x+1 the root must satisfy x* = -³

(b) convergent, Consider the fixed point function, g(x) = 2x+1. Show that to be super-linearly √x+1 the root must satisfy x* = -³

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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Need ans for part b
x 2. 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 Xo = 1.5. Keep up to four significant figures. (b) Consider the fixed point function, g(x) = 2x+1. Show that to be super-linearly √x+1 convergent, the root must satisfy x* = -³
Transcribed Image Text:x 2. 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 Xo = 1.5. Keep up to four significant figures. (b) Consider the fixed point function, g(x) = 2x+1. Show that to be super-linearly √x+1 convergent, the root must satisfy x* = -³
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