3. 2. Using the iteration method to find the approximatedroot of the following equation:(x-1)e-1-0Consider the following iteration equation:X. -1+ePlease prove1) In the interval (1.2], there is only one root for thisequation;2) The iteration above can converge to a fixed pointx'El1,2).

Given: The equation, x-1ex-1=0 and the iteration equation, xk+1=1+e-xk. To show: (1.) In the…

Answered: 2. Using the iteration method to find…

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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2. Using the iteration method to find the approximated root of the following equation: (x-1)e-1-0 Consider the following iteration equation: X -1+e Please prove 1) In the interval (1.2), there is only one root for this equation; 2) The iteration above can converge to a fixed point x'E[1,2].