Question 3: The solution of equation (1), x*, is a fixed point of g(x) = - tan x. . Why does not the Fixed-Point Theorem apply to g? • What can you say about the convergence of the fixed-point iteration Xn+1 = g(xn) for any starting point in a neighbourhood of x?
Question 3: The solution of equation (1), x*, is a fixed point of g(x) = - tan x. . Why does not the Fixed-Point Theorem apply to g? • What can you say about the convergence of the fixed-point iteration Xn+1 = g(xn) for any starting point in a neighbourhood of x?
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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Answer question3 please
Transcribed Image Text:Question 3:
The solution of equation (1), ï*, is a fixed point of g(x)
• Why does not the Fixed-Point Theorem apply to g?
• What can you say about the convergence of the fixed-point iteration xn+1 = g(xn) for
any starting point in a neighbourhood of x?
= - tan x.
Transcribed Image Text:Question 1:
exp(x) - 1
=
X
Consider the function f(x)
We shall assume that the function exp(.) is
computed exactly and then rounded to the nearest floating-point number. Using decimal
floating-point arithmetic with six significant digits, evaluate f(0.002). Then, compute the
relative error in the result and explain why the error is so large compared to the precision
used.
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