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Investigate the nature of the fixed-point iteration when g(x) = -4 + 4x-x. %3D Solve g(x) =x and show that P 2 and P= 4 are fixed points. Use the starting value po = 1.9 and compute p1,P2, and p3. Use the starting value po = 3.8 and compute p1,Pz, and p3. Find the errors Ex and relative errors Ry for the values pg in parts (b) and (c). a. %3D %3D b. с. P.

Investigate the nature of the fixed-point iteration when g(x) = -4 + 4x-x. %3D Solve g(x) =x and show that P 2 and P= 4 are fixed points. Use the starting value po = 1.9 and compute p1,P2, and p3. Use the starting value po = 3.8 and compute p1,Pz, and p3. Find the errors Ex and relative errors Ry for the values pg in parts (b) and (c). a. %3D %3D b. с. P.

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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Show the step by step solution in Part d and Part e.

Investigate the nature of the fixed-point iteration when g(x) = -4+4x- %3D Solve g(x) = x and show that P = 2 and P 4 are fixed points. Use the starting value po = 1.9 and compute p1. P2, and p3. Use the starting value po = 3.8 and compute p1,P2, and p3. Find the errors Ex and relative errors Ry for the values pg in parts (b) and (c). What conclusions can you make? %3D a. b. с. d. C.
Transcribed Image Text:Investigate the nature of the fixed-point iteration when g(x) = -4+4x- %3D Solve g(x) = x and show that P = 2 and P 4 are fixed points. Use the starting value po = 1.9 and compute p1. P2, and p3. Use the starting value po = 3.8 and compute p1,P2, and p3. Find the errors Ex and relative errors Ry for the values pg in parts (b) and (c). What conclusions can you make? %3D a. b. с. d. C.
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