Given f (x) = a² – x – 6.Using the fixed point iteration method (x=g(x)), where g(x) is a negative root square function, ?which of the following statements is correct g(x) has Oscillatory convergence at (3)

Given f (x) = a² – x – 6.Using the fixed point iteration method (x=g(x)), where g(x) is a negative root square function, ?which of the following statements is correct g(x) has Oscillatory convergence at (3)

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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Question

Given f (x) = x² – x - 6. Using the fixed point iteration
method (x-g(x)), where g(x) is a negative root square function,
?which of the following statements is correct
g(x) has Oscillatory convergence at (3)
g(x) has Monotonic convergence at (-2) O
None
g(x) has Monotonic convergence at (3)

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