For solving the solution of, x − e¯x = 0, in [0, 1], the fixed point method gives, Pn = e¯P-¹, for n ≥ 1, with any po € [0, 1].Show that the fixed point method converges for any po E [0, 1].

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Answered: For solving the solution of, x – e¯x =…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.5: Iterative Methods For Solving Linear Systems

Problem 21EQ

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For solving the solution of, x – e¯x = 0, in [0, 1], the fixed point method gives, P₂ = e¯ P-¹, for n ≥ 1, with any po € [0, 1]. Show that the fixed point method converges for any po € [0, 1].