Q4) Consider the following function f(x) = x³ + 6x² - 4x - 2 a) Find all fixed-point formulations of the above function. b) Apply the condition of convergence to each of the above formulation to determine the convergence of each formulation when xo = 1? State the condition of convergence for Fixed-Point method. c) The following table provides iteration of Fixed-Point method using suitable fixed- point formulation in part a and b that rapidly convergence. i. Compute x₁. ii. Compute the percentage relative approximate error. €a (%) i 0 1 2 3 4 5 xi 1
Q4) Consider the following function f(x) = x³ + 6x² - 4x - 2 a) Find all fixed-point formulations of the above function. b) Apply the condition of convergence to each of the above formulation to determine the convergence of each formulation when xo = 1? State the condition of convergence for Fixed-Point method. c) The following table provides iteration of Fixed-Point method using suitable fixed- point formulation in part a and b that rapidly convergence. i. Compute x₁. ii. Compute the percentage relative approximate error. €a (%) i 0 1 2 3 4 5 xi 1
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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